Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.2s (9.6%)

Memory

52.7MiB live, 2 106.2MiB allocated

Samples

426.0ms	6 041×	0	valid
209.0ms	1 458×	1	valid
178.0ms	757×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-div: 221.0ms (38.6% of total)

ival-add: 152.0ms (26.5% of total)

ival-sub: 69.0ms (12% of total)

adjust: 57.0ms (9.9% of total)

ival->: 44.0ms (7.7% of total)

exact: 16.0ms (2.8% of total)

ival-and: 11.0ms (1.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess536.0ms (4.4%)

Memory

1.1MiB live, 272.4MiB allocated

Algorithm

2×	egg-herbie

Rules

2 176×	`accelerator-lowering-fma.f32`
2 176×	`accelerator-lowering-fma.f64`
1 144×	`distribute-rgt-in`
1 100×	`div-sub`
1 028×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	82
1	87	80
2	190	80
3	486	78
4	1239	78
5	2943	78
6	5545	78
7	6422	78
8	6610	78
9	6646	78
10	6693	78
11	6693	78
12	6921	78
13	7032	78
14	7034	78
15	7034	78
16	7034	78
17	7566	78
18	7811	78
19	7811	78
20	7811	78
21	7811	78
0	10	13
1	22	13
2	39	13
3	67	13
4	127	13
5	286	13
6	566	13
7	942	13
8	1610	13
9	2828	13
10	3039	13
11	3126	13
12	3180	13
13	3182	13
14	3182	13
15	3182	13
0	3182	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

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

Call 2

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)

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

explain412.0ms (3.4%)

Memory

-10.5MiB live, 266.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(+.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	75	0

Confusion

	Predicted +	Predicted -
+	75	0
-	0	181

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	0	0	181

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	181
1	75

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms	368×	0	valid
18.0ms	94×	1	valid
10.0ms	50×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-add: 110.0ms (86.8% of total)

ival-div: 9.0ms (7.1% of total)

ival-sub: 4.0ms (3.2% of total)

adjust: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify141.0ms (1.2%)

Memory

11.1MiB live, 142.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 176×	`accelerator-lowering-fma.f32`
2 176×	`accelerator-lowering-fma.f64`
880×	`-lowering-.f32`
880×	`-lowering-.f64`
474×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	22	48
2	39	48
3	67	48
4	127	48
5	286	48
6	566	48
7	942	48
8	1610	48
9	2828	48
10	3039	48
11	3126	48
12	3180	48
13	3182	48
14	3182	48
15	3182	48
0	3182	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+ alpha beta)
2
1

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

localize38.0ms (0.3%)

Memory

2.0MiB live, 78.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	73.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

14.0ms	184×	0	valid
6.0ms	47×	1	valid
5.0ms	25×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 6.0ms (39.3% of total)

ival-div: 5.0ms (32.7% of total)

adjust: 2.0ms (13.1% of total)

ival-sub: 2.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-7.9MiB live, 31.8MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 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)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 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)))>
#<alt (- (+ 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)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 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))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 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)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 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)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 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)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* 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)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ 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)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -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)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
4.0ms	alpha	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite422.0ms (3.5%)

Memory

-19.7MiB live, 785.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`accelerator-lowering-fma.f32`
5 066×	`accelerator-lowering-fma.f64`
4 410×	`-lowering-.f32`
4 410×	`-lowering-.f64`
4 264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	85	44
2	742	44
0	9043	43

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 458

Calls

Call 1

Inputs
(/ (+ (/ (- 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)

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
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simplify419.0ms (3.4%)

Memory

-10.9MiB live, 749.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
3 924×	`+-lowering-+.f64`
3 924×	`+-lowering-+.f32`
3 726×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval84.0ms (0.7%)

Memory: 13.4MiB live, 166.0MiB allocated
Compiler: Compiled 18 814 to 2 374 computations (87.4% saved)

prune103.0ms (0.8%)

Memory

-15.3MiB live, 195.6MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	585	17	602
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	585	18	603

Accuracy

100.0%

Counts

603 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.4%	(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	62.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	69.0%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 3 binary64)) (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal 2 binary64))
	48.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
▶	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
	59.1%	(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	73.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.3%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	30.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))))) alpha)
▶	29.5%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)))) alpha)
	30.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)))) alpha)
	27.5%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	29.5%	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))) beta)) alpha)
▶	73.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
▶	35.1%	#s(literal 1 binary64)

Compiler

Compiled 877 to 480 computations (45.3% saved)

simplify469.0ms (3.9%)

Memory

28.6MiB live, 844.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	6272	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)))) alpha)
✓	cost-diff	128	(+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)))
✓	cost-diff	0	(+.f64 alpha #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 2 binary64))
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))

Rules

15 428×	`accelerator-lowering-fma.f32`
15 428×	`accelerator-lowering-fma.f64`
3 430×	`+-lowering-+.f64`
3 430×	`+-lowering-+.f32`
3 252×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	269
1	91	269
2	250	263
3	710	263
4	2220	256
5	4620	253
0	8059	242

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize269.0ms (2.2%)

Memory

-16.1MiB live, 374.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 alpha #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
✓	accuracy	73.9%	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))
✓	accuracy	73.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))
✓	accuracy	97.7%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)))) alpha)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	69.2%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	73.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))

Samples

73.0ms	172×	0	valid
52.0ms	34×	2	valid
26.0ms	50×	1	valid

Compiler

Compiled 271 to 37 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-add: 71.0ms (57.5% of total)

ival-div: 21.0ms (17% of total)

ival-mult: 21.0ms (17% of total)

adjust: 6.0ms (4.9% of total)

ival-sub: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

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

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

series52.0ms (0.4%)

Memory

16.0MiB live, 95.4MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (/ 1 (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)))>
#<alt (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))>
#<alt (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)>
#<alt (/ (- beta alpha) (+ beta (+ alpha 2)))>
#<alt (/ (- 1 (/ alpha (+ alpha 2))) 2)>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>
#<alt (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha)))>
#<alt (+ (+ 1 beta) (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))))>
#<alt (/ (+ (+ 1 beta) (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha)))) alpha)>
#<alt (+ 1 beta)>
#<alt (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta (+ alpha -2))) 1)>
#<alt (/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta (+ alpha -2))) 1) 2)>
#<alt (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4))>
#<alt (- beta alpha)>
#<alt (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))>
#<alt (* (+ beta alpha) (+ beta alpha))>
#<alt (+ alpha -2)>

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

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4))
3.0ms	beta	@	inf	(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta (+ alpha -2))) 1) 2)
2.0ms	beta	@	inf	(* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha)))
2.0ms	beta	@	0	(+ (+ 1 beta) (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))))
2.0ms	alpha	@	0	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))

rewrite409.0ms (3.4%)

Memory

20.3MiB live, 758.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 296×	`-lowering-.f32`
6 296×	`-lowering-.f64`
4 216×	`/-lowering-/.f32`
4 216×	`/-lowering-/.f64`
2 500×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	195
1	290	195
2	2977	195
0	9313	183

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 518

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) #s(literal -1 binary64))
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(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(fma.f64 (/.f64 beta (+.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (-.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
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(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 beta (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 beta alpha) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) beta) (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 beta alpha) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) beta (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 beta (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (+.f64 (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) #s(literal -64 binary64))) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 16 binary64) (.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -4 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal -16 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))))
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(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
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(.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)))))))
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(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))))
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(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (+.f64 beta alpha))
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(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (-.f64 beta alpha))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(+.f64 beta (-.f64 #s(literal 0 binary64) alpha))
(+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)
(-.f64 beta alpha)
(-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha)))) (/.f64 (.f64 alpha (.f64 alpha alpha)) (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha)))))
(-.f64 (/.f64 (.f64 beta beta) (+.f64 beta alpha)) (/.f64 (.f64 alpha alpha) (+.f64 beta alpha)))
(fma.f64 #s(literal 1 binary64) beta (-.f64 #s(literal 0 binary64) alpha))
(fma.f64 beta #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))
(fma.f64 #s(literal -1 binary64) alpha beta)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha))) (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
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(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta alpha))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 beta (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (neg.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (neg.f64 (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (neg.f64 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (.f64 (.f64 beta (.f64 beta beta)) (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha)))) (.f64 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha))) (.f64 alpha (.f64 alpha alpha)))) (.f64 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha))) (+.f64 (.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) (.f64 alpha alpha))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha))) (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta alpha) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) beta))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) beta) (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha)) (.f64 beta (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha)))
(+.f64 (.f64 beta (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha)) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha)))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) (.f64 beta (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha)))
(fma.f64 beta (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha)))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) #s(literal 2 binary64) (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha) beta))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) beta (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64)))) alpha)
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(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 beta beta)) (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64)))) (.f64 (-.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 beta beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 (/.f64 alpha (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 beta (-.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (.f64 (/.f64 alpha (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64)))) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 alpha (+.f64 #s(literal 4 binary64) (.f64 beta (-.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (.f64 alpha (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 4 binary64) (.f64 beta (-.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 beta (-.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (.f64 (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha)) (+.f64 #s(literal 4 binary64) (*.f64 beta (-.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 beta beta)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha)) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha))
(pow.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha))
(.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) beta)))
(.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) alpha) (+.f64 #s(literal 2 binary64) beta))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) alpha))
(+.f64 (.f64 beta (+.f64 beta alpha)) (.f64 alpha (+.f64 beta alpha)))
(+.f64 (.f64 alpha (+.f64 beta alpha)) (.f64 beta (+.f64 beta alpha)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 beta alpha))))
(fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha)))
(fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha)))
(fma.f64 (+.f64 beta alpha) beta (*.f64 alpha (+.f64 beta alpha)))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 beta (+.f64 beta alpha)))
(/.f64 (.f64 (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (.f64 (+.f64 (.f64 beta beta) (.f64 alpha (-.f64 alpha beta))) (+.f64 (.f64 beta beta) (.f64 alpha (-.f64 alpha beta)))))
(/.f64 (.f64 (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (+.f64 (.f64 beta beta) (.f64 alpha (-.f64 alpha beta))) (-.f64 beta alpha)))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (.f64 (-.f64 beta alpha) (+.f64 (.f64 beta beta) (.f64 alpha (-.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (+.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (+.f64 (.f64 (.f64 beta (+.f64 beta alpha)) (.f64 beta (+.f64 beta alpha))) (-.f64 (.f64 (.f64 alpha (+.f64 beta alpha)) (.f64 alpha (+.f64 beta alpha))) (.f64 (.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta alpha)) (.f64 beta (+.f64 beta alpha))) (.f64 (.f64 alpha (+.f64 beta alpha)) (.f64 alpha (+.f64 beta alpha)))) (-.f64 (.f64 beta (+.f64 beta alpha)) (.f64 alpha (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 beta alpha) (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (.f64 (+.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(/.f64 (.f64 (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (+.f64 beta alpha)) (+.f64 (.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta alpha)) (-.f64 beta alpha))
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) #s(literal 2 binary64))
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
(.f64 (.f64 (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (.f64 alpha (-.f64 alpha beta)))) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) #s(literal 2 binary64)) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(*.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) (exp.f64 (log.f64 (+.f64 beta alpha))))
(+.f64 alpha #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) alpha)
(-.f64 alpha #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (.f64 alpha #s(literal -2 binary64))) (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))))
(/.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -8 binary64)) (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 alpha alpha) (.f64 alpha #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -8 binary64))) (neg.f64 (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (.f64 alpha #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal 8 binary64)) (+.f64 (.f64 alpha alpha) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal -2 binary64) alpha))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(pow.f64 (/.f64 (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (.f64 alpha #s(literal -2 binary64))) (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal -2 binary64)))))
(.f64 (+.f64 (.f64 alpha alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))

simplify625.0ms (5.1%)

Memory

-8.4MiB live, 874.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 546×	`accelerator-lowering-fma.f32`
6 546×	`accelerator-lowering-fma.f64`
6 490×	`-lowering-.f32`
6 490×	`-lowering-.f64`
5 532×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1468	11184
1	4750	10485
0	9560	9787

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval141.0ms (1.2%)

Memory: 14.1MiB live, 323.1MiB allocated
Compiler: Compiled 32 809 to 3 873 computations (88.2% saved)

prune118.0ms (1%)

Memory

7.8MiB live, 284.1MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	970	10	980
Fresh	5	7	12
Picked	3	2	5
Done	1	0	1
Total	979	19	998

Accuracy

100.0%

Counts

998 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
✓	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	59.1%	(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	30.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	27.6%	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
	71.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	26.4%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
	26.6%	(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
	30.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)))) alpha)
▶	27.5%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	50.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
	31.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
	85.1%	(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
	27.9%	(/.f64 #s(literal 1 binary64) alpha)
	48.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	35.1%	#s(literal 1 binary64)
▶	49.9%	#s(literal 1/2 binary64)

Compiler

Compiled 630 to 385 computations (38.9% saved)

simplify399.0ms (3.3%)

Memory

-20.6MiB live, 576.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	512	(/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha))
✓	cost-diff	0	(+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) alpha)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
✓	cost-diff	256	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
✓	cost-diff	512	(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
✓	cost-diff	1024	(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))

Rules

8 644×	`accelerator-lowering-fma.f32`
8 644×	`accelerator-lowering-fma.f64`
3 612×	`-lowering-.f32`
3 612×	`-lowering-.f64`
2 214×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	398
1	96	398
2	249	364
3	647	338
4	1471	334
5	3666	284
6	5714	284
0	8170	275

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta))))))
1
(+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta)))))
(/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta)))))
(* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta))))))
2
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))
alpha
(+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta))))
(/ 1 (+ 2 beta))
(+ 2 beta)
beta
(/ beta (* (+ 2 beta) (+ 2 beta)))
(* (+ 2 beta) (+ 2 beta))
(* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))
(+ 1 (/ beta (+ 2 beta)))
(/ beta (+ 2 beta))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
1/2
(/ (+ (/ -2 alpha) 1) alpha)
(+ (/ -2 alpha) 1)
(/ -2 alpha)
-2
alpha
1
(/ (+ 2 (/ (+ (* alpha -2) -2) beta)) 2)
(+ 2 (/ (+ (* alpha -2) -2) beta))
2
(/ (+ (* alpha -2) -2) beta)
(+ (* alpha -2) -2)
(* alpha -2)
alpha
-2
beta
(/ (+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1) 2)
(+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1)
(/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha))
(/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2)))
(- (* beta beta) (* alpha alpha))
(* beta beta)
beta
(* alpha alpha)
alpha
(+ beta (+ alpha 2))
(+ alpha 2)
2
(+ beta alpha)
1

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

localize246.0ms (2%)

Memory

17.2MiB live, 378.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(-.f64 (.f64 beta beta) (.f64 alpha alpha))
✓	accuracy	89.7%	(/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha))
✓	accuracy	73.9%	(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	73.5%	(+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 alpha #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta))
✓	accuracy	100.0%	(/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
✓	accuracy	99.9%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
✓	accuracy	86.7%	(/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))

Samples

64.0ms	25×	2	valid
52.0ms	184×	0	valid
24.0ms	47×	1	valid

Compiler

Compiled 400 to 40 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-div: 66.0ms (57.6% of total)

ival-add: 17.0ms (14.8% of total)

adjust: 15.0ms (13.1% of total)

ival-mult: 13.0ms (11.3% of total)

ival-sub: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

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

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

series116.0ms (1%)

Memory

-19.3MiB live, 95.8MiB allocated

Counts

20 → 384

Calls

Call 1

Inputs
#<alt (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta))))>
#<alt (/ 1 (+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (/ (+ (/ -2 alpha) 1) alpha)>
#<alt (+ (/ -2 alpha) 1)>
#<alt (/ -2 alpha)>
#<alt (/ (+ 2 (/ (+ (* alpha -2) -2) beta)) 2)>
#<alt (+ 2 (/ (+ (* alpha -2) -2) beta))>
#<alt (/ (+ (* alpha -2) -2) beta)>
#<alt (+ (* alpha -2) -2)>
#<alt (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha))>
#<alt (/ (+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1) 2)>
#<alt (+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1)>
#<alt (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2)))>
#<alt (/ beta (* (+ 2 beta) (+ 2 beta)))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))>
#<alt (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))>
#<alt (* alpha -2)>
#<alt (- (* beta beta) (* alpha alpha))>

Outputs
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt alpha>
#<alt (+ alpha (* -1 (* alpha beta)))>
#<alt (+ alpha (* beta (+ (* -1 alpha) (* alpha beta))))>
#<alt (+ alpha (* beta (+ (* -1 alpha) (* beta (+ alpha (* -1 (* alpha beta)))))))>
#<alt (/ alpha beta)>
#<alt (/ (+ alpha (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta))) beta)>
#<alt (/ (+ alpha (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 2))))) beta)>
#<alt (/ (+ alpha (+ (* 2 (/ (- (* -10 alpha) (+ (* -6 alpha) (+ (* -2 (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha)))) (* 5 (- (* -3/2 alpha) (* -1 alpha)))))) (pow beta 3))) (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 2)))))) beta)>
#<alt (/ alpha beta)>
#<alt (* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* -1 alpha)) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha))))) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -10 alpha) (+ (* -6 alpha) (+ (* 2 (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) (* 5 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha))))))) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) beta))) beta))>
#<alt (/ 2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* alpha (+ (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))>
#<alt (* alpha (+ (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))>
#<alt (* alpha (+ (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))>
#<alt (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha (* beta (- (* -1 alpha) 1))))>
#<alt (+ 2 (+ alpha (* beta (- (+ (* -1 alpha) (* beta (+ 1 alpha))) 1))))>
#<alt (+ 2 (+ alpha (* beta (- (+ (* -1 alpha) (* beta (+ 1 (+ alpha (* beta (- (* -1 alpha) 1)))))) 1))))>
#<alt 1>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))) (/ 1 (pow beta 2)))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 2))) (+ (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 3))) (+ (/ 1 beta) (+ (/ 1 (pow beta 3)) (/ alpha beta)))))) (/ 1 (pow beta 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 alpha) 1) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (* 2 (- (* -3/2 alpha) (* -1 alpha))) 1) beta))) 1) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) 1) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) 1) beta))) 1) beta)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (pow beta 2)))>
#<alt (+ 1/2 (* (pow beta 2) (- (* 1/8 beta) 1/8)))>
#<alt (+ 1/2 (* (pow beta 2) (- (* beta (+ 1/8 (* -3/32 beta))) 1/8)))>
#<alt (/ 2 beta)>
#<alt (/ (- 2 (* 6 (/ 1 beta))) beta)>
#<alt (/ (- (+ 2 (/ 16 (pow beta 2))) (* 6 (/ 1 beta))) beta)>
#<alt (/ (- (+ 2 (/ 16 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 40 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 2 beta)>
#<alt (* -1 (/ (- (* 6 (/ 1 beta)) 2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 beta)) 6) beta)) 2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 40 (/ 1 beta)) 16) beta)) 6) beta)) 2) beta))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (- (* 1/2 (/ (* alpha (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (+ 1 (/ beta (+ 2 beta))))) (* 1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 3)) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -1/2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (+ 1 (/ beta (+ 2 beta))))))) (* 1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 2) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))>
#<alt (/ (+ (* -1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 3) (* alpha (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)))) (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) alpha)>
#<alt (/ (- (+ (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 4) (* (pow alpha 2) (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 3))))) (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 3) (* alpha (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2))))) alpha)>
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#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* 2 (/ 1 (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (+ (/ 1 (* alpha (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* 2 (/ 1 (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (/ 1 (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha)))) (* -1 (/ (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (+ (/ 1 (* alpha (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))))))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))>
#<alt (- (+ 2 (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* alpha (* (+ 2 alpha) (+ 2 (* 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))))))>
#<alt 2>
#<alt (+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta))))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta)) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (pow alpha 2) beta))) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (pow alpha 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (+ (* -1 (* alpha (* (+ 2 alpha) (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (* -1 (* (+ (* -1 alpha) (* -1 (+ 2 alpha))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha))))))) beta)) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2)))) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (* 2 (/ 1 (pow (+ 2 beta) 2))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 2))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (/ 1 (pow (+ 2 beta) 2)))) (* beta (+ 2 beta)))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2)))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 2))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))))) (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* beta (* (+ 2 beta) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 2 (* 2 beta)) 2)) (pow alpha 3))) (+ (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2)) (/ (* (pow beta 3) (+ 2 beta)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))))) (* (pow beta 2) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) alpha)))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (+ (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta))))) (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta))))))))) (+ (* -1 (* (pow beta 2) (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2))) (* (pow beta 3) (+ 2 beta)))) alpha)))) (* (pow beta 2) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) alpha)))) alpha))>
#<alt (* -1 (/ (pow alpha 2) (+ 2 alpha)))>
#<alt (+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (/ (* (pow alpha 2) beta) (pow (+ 2 alpha) 2)))>
#<alt (+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (* beta (- (* beta (- (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (* beta (- (* beta (- (+ (* beta (- (/ (pow alpha 2) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))))>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ (+ 2 alpha) beta))))>
#<alt (* beta (- (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))>
#<alt (* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))>
#<alt beta>
#<alt (* -1 (* beta (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (pow (+ 2 alpha) 2))) beta)) (pow alpha 2)) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1)))>
#<alt (/ (pow beta 2) (+ 2 beta))>
#<alt (+ (* -1 (/ (* alpha (pow beta 2)) (pow (+ 2 beta) 2))) (/ (pow beta 2) (+ 2 beta)))>
#<alt (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (/ (* alpha (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta)))) (+ 2 beta)) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))>
#<alt (* alpha (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* alpha (- (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (pow (+ 2 beta) 2))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (+ 2 beta) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (pow beta 2))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))))>
#<alt (* 1/4 beta)>
#<alt (* beta (+ 1/4 (* -1/4 beta)))>
#<alt (* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4))))>
#<alt (* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4))))>
#<alt (/ 1 beta)>
#<alt (/ (- 1 (* 4 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (* 1/2 alpha)>
#<alt (+ (* -1/8 (* alpha (pow beta 2))) (* 1/2 alpha))>
#<alt (+ (* 1/2 alpha) (* (pow beta 2) (+ (* -1/8 alpha) (* 1/8 (* alpha beta)))))>
#<alt (+ (* 1/2 alpha) (* (pow beta 2) (+ (* -1/8 alpha) (* beta (+ (* -3/32 (* alpha beta)) (* 1/8 alpha))))))>
#<alt (* 2 (/ alpha beta))>
#<alt (/ (+ (* -6 (/ alpha beta)) (* 2 alpha)) beta)>
#<alt (/ (+ (* -6 (/ alpha beta)) (+ (* 2 alpha) (* 16 (/ alpha (pow beta 2))))) beta)>
#<alt (/ (+ (* -40 (/ alpha (pow beta 3))) (+ (* -6 (/ alpha beta)) (+ (* 2 alpha) (* 16 (/ alpha (pow beta 2)))))) beta)>
#<alt (* 2 (/ alpha beta))>
#<alt (* -1 (/ (+ (* -2 alpha) (* 6 (/ alpha beta))) beta))>
#<alt (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -6 alpha) (* 16 (/ alpha beta))) beta))) beta))>
#<alt (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -6 alpha) (* -1 (/ (+ (* -16 alpha) (* 40 (/ alpha beta))) beta))) beta))) beta))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 (* beta (+ 1 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4)))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 beta)))>
#<alt (- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta)))>
#<alt (- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3)))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 beta)))>
#<alt (+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta)))>
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta)))>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -1 (pow alpha 2))>
#<alt (- (pow beta 2) (pow alpha 2))>
#<alt (- (pow beta 2) (pow alpha 2))>
#<alt (- (pow beta 2) (pow alpha 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (+ (* -1 (pow alpha 2)) (pow beta 2))>
#<alt (+ (* -1 (pow alpha 2)) (pow beta 2))>
#<alt (+ (* -1 (pow alpha 2)) (pow beta 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))>
#<alt (* -1 (pow alpha 2))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))>

Calls

96 calls:

Time	Variable		Point	Expression
34.0ms	alpha	@	0	(+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta)))))
7.0ms	alpha	@	-inf	(/ (+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1) 2)
6.0ms	beta	@	inf	(/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta)))))
5.0ms	alpha	@	0	(/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2)))
3.0ms	alpha	@	0	(/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta)))))

rewrite504.0ms (4.1%)

Memory

11.3MiB live, 731.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 566×	`/-lowering-/.f32`
4 566×	`/-lowering-/.f64`
3 866×	`-lowering-.f32`
3 866×	`-lowering-.f64`
2 914×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	274
1	320	250
2	3594	250
0	8574	239

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 631

Calls

Call 1

Inputs
(/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta)))))
(+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta)))))
(+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta))))
(/ 1 (+ (/ (* 2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))) (* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))) (/ 2 (+ 1 (/ beta (+ 2 beta))))))
(/ (+ (/ -2 alpha) 1) alpha)
(+ (/ -2 alpha) 1)
(/ -2 alpha)
(/ (+ 2 (/ (+ (* alpha -2) -2) beta)) 2)
(+ 2 (/ (+ (* alpha -2) -2) beta))
(/ (+ (* alpha -2) -2) beta)
(+ (* alpha -2) -2)
(/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha))
(/ (+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1) 2)
(+ (/ (/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2))) (+ beta alpha)) 1)
(/ (- (* beta beta) (* alpha alpha)) (+ beta (+ alpha 2)))
(/ beta (* (+ 2 beta) (+ 2 beta)))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (* (+ 2 beta) (+ 2 beta)))))
(* (+ 1 (/ beta (+ 2 beta))) (+ 1 (/ beta (+ 2 beta))))
(* alpha -2)
(- (* beta beta) (* alpha alpha))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))
(neg.f64 (/.f64 (.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 #s(literal 2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 #s(literal 2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 #s(literal 2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))))))
(/.f64 (.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
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(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) beta) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (exp.f64 (log1p.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(*.f64 alpha #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) alpha)
(+.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 beta beta))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(-.f64 (/.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (.f64 alpha alpha))))) (/.f64 (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (.f64 alpha alpha))) (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (.f64 alpha alpha))))))
(-.f64 (/.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (+.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 (.f64 alpha (.f64 alpha (.f64 alpha alpha))) (+.f64 (.f64 beta beta) (.f64 alpha alpha))))
(-.f64 (/.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (-.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)))) (/.f64 (.f64 alpha (.f64 alpha (.f64 alpha alpha))) (-.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)))))
(fma.f64 alpha (-.f64 #s(literal 0 binary64) alpha) (*.f64 beta beta))
(fma.f64 beta beta (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)))
(fma.f64 #s(literal -1 binary64) (.f64 alpha alpha) (.f64 beta beta))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) alpha (*.f64 beta beta))
(fma.f64 (exp.f64 (log.f64 beta)) (exp.f64 (log.f64 beta)) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (.f64 alpha alpha)))) (-.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (*.f64 alpha alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 alpha (.f64 alpha (.f64 alpha alpha))))))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (*.f64 alpha alpha)))))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (-.f64 (.f64 alpha (.f64 alpha (.f64 alpha alpha))) (.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))))))
(/.f64 (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 alpha (.f64 alpha (.f64 alpha alpha)))) (+.f64 (.f64 beta beta) (.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 alpha (.f64 alpha (.f64 alpha alpha)))) (-.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (.f64 alpha alpha))))) (neg.f64 (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (*.f64 alpha alpha))))))
(/.f64 (neg.f64 (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 alpha (.f64 alpha (.f64 alpha alpha))))) (neg.f64 (+.f64 (.f64 beta beta) (.f64 alpha alpha))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (.f64 (+.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (-.f64 beta alpha)) (+.f64 (.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))))
(pow.f64 (/.f64 (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (.f64 alpha alpha)))) (-.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 alpha (.f64 alpha (.f64 alpha alpha))))) #s(literal -1 binary64))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(.f64 (-.f64 (.f64 (.f64 beta beta) (.f64 beta (.f64 beta (.f64 beta beta)))) (.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 alpha (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (.f64 alpha alpha))))))
(*.f64 (-.f64 beta alpha) (+.f64 alpha beta))
(.f64 (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 alpha (.f64 alpha (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (*.f64 alpha alpha))))

simplify566.0ms (4.7%)

Memory

30.5MiB live, 786.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 732×	`accelerator-lowering-fma.f32`
6 732×	`accelerator-lowering-fma.f64`
5 932×	`-lowering-.f32`
5 932×	`-lowering-.f64`
4 924×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1230	8971
1	4135	8552
0	8596	8124

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
alpha
(+ alpha (* -1 (* alpha beta)))
(+ alpha (* beta (+ (* -1 alpha) (* alpha beta))))
(+ alpha (* beta (+ (* -1 alpha) (* beta (+ alpha (* -1 (* alpha beta)))))))
(/ alpha beta)
(/ (+ alpha (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta))) beta)
(/ (+ alpha (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 2))))) beta)
(/ (+ alpha (+ (* 2 (/ (- (* -10 alpha) (+ (* -6 alpha) (+ (* -2 (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha)))) (* 5 (- (* -3/2 alpha) (* -1 alpha)))))) (pow beta 3))) (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 2)))))) beta)
(/ alpha beta)
(* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* -1 alpha)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha))))) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -10 alpha) (+ (* -6 alpha) (+ (* 2 (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) (* 5 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha))))))) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) beta))) beta))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* alpha (+ (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* alpha (+ (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* alpha (+ (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))
(+ 2 alpha)
(+ 2 (+ alpha (* beta (- (* -1 alpha) 1))))
(+ 2 (+ alpha (* beta (- (+ (* -1 alpha) (* beta (+ 1 alpha))) 1))))
(+ 2 (+ alpha (* beta (- (+ (* -1 alpha) (* beta (+ 1 (+ alpha (* beta (- (* -1 alpha) 1)))))) 1))))
1
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(- (+ 1 (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))) (/ 1 (pow beta 2)))
(- (+ 1 (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 2))) (+ (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 3))) (+ (/ 1 beta) (+ (/ 1 (pow beta 3)) (/ alpha beta)))))) (/ 1 (pow beta 2)))
1
(+ 1 (* -1 (/ (- (* -1 alpha) 1) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (* 2 (- (* -3/2 alpha) (* -1 alpha))) 1) beta))) 1) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) 1) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) 1) beta))) 1) beta)))
1/2
(+ 1/2 (* -1/8 (pow beta 2)))
(+ 1/2 (* (pow beta 2) (- (* 1/8 beta) 1/8)))
(+ 1/2 (* (pow beta 2) (- (* beta (+ 1/8 (* -3/32 beta))) 1/8)))
(/ 2 beta)
(/ (- 2 (* 6 (/ 1 beta))) beta)
(/ (- (+ 2 (/ 16 (pow beta 2))) (* 6 (/ 1 beta))) beta)
(/ (- (+ 2 (/ 16 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 40 (/ 1 (pow beta 3))))) beta)
(/ 2 beta)
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(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 beta)) 6) beta)) 2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 40 (/ 1 beta)) 16) beta)) 6) beta)) 2) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 2) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))
(/ (+ (* -1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 3) (* alpha (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)))) (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) alpha)
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(/ (- (+ (* -1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 5) (* (pow alpha 3) (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 4)))) (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (+ (* -1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 4) (* (pow alpha 2) (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 3)))) (* 1/2 (/ (pow (+ 1 (/ beta (+ 2 beta))) 3) (* alpha (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)))))) alpha)
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(/ 1 (+ 2 alpha))
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(/ -2 (pow alpha 2))
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(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
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(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
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(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
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(- (* -2 alpha) 2)
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(/ beta (+ 2 beta))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
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1
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1
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)) (* 1/2 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))))) (* (pow beta 2) (+ 2 (* 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)) (+ (* 1/2 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))))) (* (pow beta 2) (+ 2 (* 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))))))))) (+ (* -1 (* (pow beta 2) (pow (+ 2 (* 2 beta)) 2))) (* (pow beta 3) (+ 2 beta)))) (pow alpha 3)))))) alpha)
(* -1/2 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))))) (* (pow beta 2) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (* 1/2 (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) alpha)) (* 1/2 (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha))
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(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* 2 (/ 1 (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (+ (/ 1 (* alpha (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* 2 (/ 1 (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (/ 1 (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha)))) (* -1 (/ (+ (* 2 (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ 1 (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (+ (/ 1 (* alpha (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))))))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))
(- (+ 2 (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* alpha (* (+ 2 alpha) (+ 2 (* 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))))))
2
(+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta))))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta)) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (pow alpha 2) beta))) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (pow alpha 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (+ (* -1 (* alpha (* (+ 2 alpha) (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (* -1 (* (+ (* -1 alpha) (* -1 (+ 2 alpha))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha))))))) beta)) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2)))) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (* 2 (/ 1 (pow (+ 2 beta) 2))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 2))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (/ 1 (pow (+ 2 beta) 2)))) (* beta (+ 2 beta)))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2)))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 2))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))))) (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* beta (* (+ 2 beta) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 2 (* 2 beta)) 2)) (pow alpha 3))) (+ (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2)) (/ (* (pow beta 3) (+ 2 beta)) (pow alpha 3))))) alpha)
(* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))))) (* (pow beta 2) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (+ (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta))))) (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta))))))))) (+ (* -1 (* (pow beta 2) (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2))) (* (pow beta 3) (+ 2 beta)))) alpha)))) (* (pow beta 2) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) alpha)))) alpha))
(* -1 (/ (pow alpha 2) (+ 2 alpha)))
(+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (/ (* (pow alpha 2) beta) (pow (+ 2 alpha) 2)))
(+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (* beta (- (* beta (- (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (* beta (- (* beta (- (+ (* beta (- (/ (pow alpha 2) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))))
beta
(* beta (+ 1 (* -1 (/ (+ 2 alpha) beta))))
(* beta (- (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
beta
(* -1 (* beta (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (pow (+ 2 alpha) 2))) beta)) (pow alpha 2)) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1)))
(/ (pow beta 2) (+ 2 beta))
(+ (* -1 (/ (* alpha (pow beta 2)) (pow (+ 2 beta) 2))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (* alpha (- (/ (* alpha (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta)))) (+ 2 beta)) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(* -1 alpha)
(* alpha (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(* alpha (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* alpha (- (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (pow (+ 2 beta) 2))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (+ 2 beta) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (pow beta 2))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))))
(* 1/4 beta)
(* beta (+ 1/4 (* -1/4 beta)))
(* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4))))
(* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4))))
(/ 1 beta)
(/ (- 1 (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* 1/2 alpha)
(+ (* -1/8 (* alpha (pow beta 2))) (* 1/2 alpha))
(+ (* 1/2 alpha) (* (pow beta 2) (+ (* -1/8 alpha) (* 1/8 (* alpha beta)))))
(+ (* 1/2 alpha) (* (pow beta 2) (+ (* -1/8 alpha) (* beta (+ (* -3/32 (* alpha beta)) (* 1/8 alpha))))))
(* 2 (/ alpha beta))
(/ (+ (* -6 (/ alpha beta)) (* 2 alpha)) beta)
(/ (+ (* -6 (/ alpha beta)) (+ (* 2 alpha) (* 16 (/ alpha (pow beta 2))))) beta)
(/ (+ (* -40 (/ alpha (pow beta 3))) (+ (* -6 (/ alpha beta)) (+ (* 2 alpha) (* 16 (/ alpha (pow beta 2)))))) beta)
(* 2 (/ alpha beta))
(* -1 (/ (+ (* -2 alpha) (* 6 (/ alpha beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -6 alpha) (* 16 (/ alpha beta))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -6 alpha) (* -1 (/ (+ (* -16 alpha) (* 40 (/ alpha beta))) beta))) beta))) beta))
1
(+ 1 beta)
(+ 1 (* beta (+ 1 (* -1/4 beta))))
(+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4)))))
4
(- 4 (* 8 (/ 1 beta)))
(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta)))
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3)))))
4
(- 4 (* 8 (/ 1 beta)))
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta)))
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -1 (pow alpha 2))
(- (pow beta 2) (pow alpha 2))
(- (pow beta 2) (pow alpha 2))
(- (pow beta 2) (pow alpha 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(pow beta 2)
(+ (* -1 (pow alpha 2)) (pow beta 2))
(+ (* -1 (pow alpha 2)) (pow beta 2))
(+ (* -1 (pow alpha 2)) (pow beta 2))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))

Outputs
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
alpha
(+ alpha (* -1 (* alpha beta)))
(-.f64 alpha (*.f64 alpha beta))
(+ alpha (* beta (+ (* -1 alpha) (* alpha beta))))
(+.f64 alpha (.f64 beta (-.f64 (.f64 alpha beta) alpha)))
(+ alpha (* beta (+ (* -1 alpha) (* beta (+ alpha (* -1 (* alpha beta)))))))
(+.f64 alpha (.f64 beta (-.f64 (.f64 beta (-.f64 alpha (*.f64 alpha beta))) alpha)))
(/ alpha beta)
(/.f64 alpha beta)
(/ (+ alpha (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta))) beta)
(/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (/.f64 (.f64 alpha #s(literal -1/2 binary64)) beta))) beta)
(/ (+ alpha (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 2))))) beta)
(/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 alpha #s(literal -1/2 binary64)) beta) (/.f64 (-.f64 (.f64 alpha #s(literal 4 binary64)) (+.f64 (.f64 (.f64 alpha #s(literal -1/2 binary64)) #s(literal -2 binary64)) (.f64 alpha #s(literal 5/2 binary64)))) (*.f64 beta beta))))) beta)
(/ (+ alpha (+ (* 2 (/ (- (* -10 alpha) (+ (* -6 alpha) (+ (* -2 (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha)))) (* 5 (- (* -3/2 alpha) (* -1 alpha)))))) (pow beta 3))) (+ (* 2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* 2 (/ (- (* 4 alpha) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 2)))))) beta)
(/.f64 (+.f64 alpha (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 alpha #s(literal -1/2 binary64)) beta) (/.f64 (-.f64 (.f64 alpha #s(literal 4 binary64)) (+.f64 (.f64 (.f64 alpha #s(literal -1/2 binary64)) #s(literal -2 binary64)) (.f64 alpha #s(literal 5/2 binary64)))) (.f64 beta beta)))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (.f64 alpha #s(literal -10 binary64)) (.f64 #s(literal 6 binary64) alpha)) (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 alpha #s(literal 4 binary64)) (+.f64 (.f64 (.f64 alpha #s(literal -1/2 binary64)) #s(literal -2 binary64)) (.f64 alpha #s(literal 5/2 binary64))))) (.f64 (.f64 alpha #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (.f64 beta (*.f64 beta beta))))) beta)
(/ alpha beta)
(/.f64 alpha beta)
(* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) beta)) (* -1 alpha)) beta))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha #s(literal -1/2 binary64)) beta) #s(literal -2 binary64)) alpha) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha))))) beta)) (* 2 (- (* -3/2 alpha) (* -1 alpha)))) beta))) beta))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 alpha #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (.f64 alpha #s(literal -4 binary64)) (.f64 alpha #s(literal 5/2 binary64))) (.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal -2 binary64)))) beta)) beta)) (-.f64 #s(literal 0 binary64) beta))
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(* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (+ (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta))))) (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta)))))) (* -1 (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta))))))))) (+ (* -1 (* (pow beta 2) (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2))) (* (pow beta 3) (+ 2 beta)))) alpha)))) (* (pow beta 2) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) alpha)))) alpha))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (-.f64 (-.f64 (+.f64 (.f64 beta beta) (.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (/.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))) (/.f64 (-.f64 (-.f64 (.f64 (.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (.f64 (.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))))) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 beta (.f64 beta beta))) (.f64 (.f64 beta beta) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))) alpha)) (.f64 (.f64 beta beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (pow alpha 2) (+ 2 alpha)))
(/.f64 (*.f64 alpha alpha) (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (/ (* (pow alpha 2) beta) (pow (+ 2 alpha) 2)))
(+.f64 (/.f64 (.f64 alpha alpha) (-.f64 #s(literal -2 binary64) alpha)) (/.f64 (.f64 beta (.f64 alpha alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (* beta (- (* beta (- (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))))
(+.f64 (/.f64 (.f64 alpha alpha) (-.f64 #s(literal -2 binary64) alpha)) (.f64 beta (+.f64 (.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))))
(+ (* -1 (/ (pow alpha 2) (+ 2 alpha))) (* beta (- (* beta (- (+ (* beta (- (/ (pow alpha 2) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))))
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beta
(* beta (+ 1 (* -1 (/ (+ 2 alpha) beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))
(* beta (- (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(.f64 beta (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(.f64 beta (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) alpha) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (.f64 beta beta)))) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))))
beta
(* -1 (* beta (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 alpha beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (pow (+ 2 alpha) 2))) beta)) (pow alpha 2)) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 beta (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) (.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64))))
(/ (pow beta 2) (+ 2 beta))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha (pow beta 2)) (pow (+ 2 beta) 2))) (/ (pow beta 2) (+ 2 beta)))
(+.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 alpha (.f64 beta beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
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(+ (* alpha (- (* alpha (- (/ (* alpha (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta)))) (+ 2 beta)) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ 1 (+ 2 beta))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (/.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 beta alpha) #s(literal -1 binary64))))
(* alpha (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(.f64 alpha (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))))
(* alpha (- (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (pow (+ 2 beta) 2))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(.f64 alpha (+.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))) (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))))))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (+ 2 beta) alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))))
(-.f64 #s(literal 0 binary64) (.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (pow beta 2))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 beta beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (.f64 beta beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha)))
(* 1/4 beta)
(*.f64 beta #s(literal 1/4 binary64))
(* beta (+ 1/4 (* -1/4 beta)))
(.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4))))
(.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta (+.f64 (*.f64 beta #s(literal 3/16 binary64)) #s(literal -1/4 binary64)))))
(* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4))))
(.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta (+.f64 (.f64 beta (+.f64 #s(literal 3/16 binary64) (.f64 beta #s(literal -1/8 binary64)))) #s(literal -1/4 binary64)))))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (- 1 (* 4 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) beta)) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 beta beta))) (/.f64 #s(literal -4 binary64) beta)) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 #s(literal 32 binary64) (.f64 beta (*.f64 beta beta))))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) beta) #s(literal 1 binary64)) beta)
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) beta) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) beta) #s(literal -12 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* 1/2 alpha)
(*.f64 alpha #s(literal 1/2 binary64))
(+ (* -1/8 (* alpha (pow beta 2))) (* 1/2 alpha))
(+.f64 (.f64 alpha #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 alpha (.f64 beta beta))))
(+ (* 1/2 alpha) (* (pow beta 2) (+ (* -1/8 alpha) (* 1/8 (* alpha beta)))))
(+.f64 (.f64 alpha #s(literal 1/2 binary64)) (.f64 (.f64 beta beta) (+.f64 (.f64 alpha #s(literal -1/8 binary64)) (.f64 (.f64 alpha beta) #s(literal 1/8 binary64)))))
(+ (* 1/2 alpha) (* (pow beta 2) (+ (* -1/8 alpha) (* beta (+ (* -3/32 (* alpha beta)) (* 1/8 alpha))))))
(+.f64 (.f64 alpha #s(literal 1/2 binary64)) (.f64 (.f64 beta beta) (+.f64 (.f64 alpha #s(literal -1/8 binary64)) (.f64 beta (+.f64 (.f64 (.f64 alpha beta) #s(literal -3/32 binary64)) (.f64 alpha #s(literal 1/8 binary64)))))))
(* 2 (/ alpha beta))
(/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)
(/ (+ (* -6 (/ alpha beta)) (* 2 alpha)) beta)
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 alpha #s(literal -6 binary64)) beta)) beta)
(/ (+ (* -6 (/ alpha beta)) (+ (* 2 alpha) (* 16 (/ alpha (pow beta 2))))) beta)
(/.f64 (+.f64 (/.f64 (.f64 alpha #s(literal -6 binary64)) beta) (+.f64 (.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 16 binary64) (/.f64 alpha (.f64 beta beta))))) beta)
(/ (+ (* -40 (/ alpha (pow beta 3))) (+ (* -6 (/ alpha beta)) (+ (* 2 alpha) (* 16 (/ alpha (pow beta 2)))))) beta)
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -40 binary64) alpha) (.f64 beta (.f64 beta beta))) (/.f64 (.f64 alpha #s(literal -6 binary64)) beta)) (+.f64 (.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 16 binary64) (/.f64 alpha (*.f64 beta beta))))) beta)
(* 2 (/ alpha beta))
(/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)
(* -1 (/ (+ (* -2 alpha) (* 6 (/ alpha beta))) beta))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 alpha #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 6 binary64) alpha) beta)) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -6 alpha) (* 16 (/ alpha beta))) beta))) beta))
(/.f64 (-.f64 (.f64 alpha #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 alpha #s(literal -6 binary64)) (/.f64 (*.f64 #s(literal 16 binary64) alpha) beta)) beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -6 alpha) (* -1 (/ (+ (* -16 alpha) (* 40 (/ alpha beta))) beta))) beta))) beta))
(/.f64 (-.f64 (.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 alpha #s(literal -6 binary64)) (/.f64 (+.f64 (.f64 alpha #s(literal -16 binary64)) (.f64 (/.f64 alpha beta) #s(literal 40 binary64))) beta)) beta)) (-.f64 #s(literal 0 binary64) beta))
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 (* beta (+ 1 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1 binary64) (.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4)))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 (.f64 (.f64 beta beta) #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 beta)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta))
(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta)))
(+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 20 binary64) (*.f64 beta beta))) (/.f64 #s(literal -8 binary64) beta))
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3)))))
(-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 20 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 8 binary64) beta) (/.f64 #s(literal 48 binary64) (.f64 beta (*.f64 beta beta)))))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 beta)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta))
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta)))
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 20 binary64) beta)) beta))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 20 binary64) (/.f64 #s(literal -48 binary64) beta)) beta)) beta))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -2 alpha)
(*.f64 alpha #s(literal -2 binary64))
(* -1 (pow alpha 2))
(-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))
(- (pow beta 2) (pow alpha 2))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(- (pow beta 2) (pow alpha 2))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(- (pow beta 2) (pow alpha 2))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(+ (* -1 (pow alpha 2)) (pow beta 2))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+ (* -1 (pow alpha 2)) (pow beta 2))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+ (* -1 (pow alpha 2)) (pow beta 2))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(* -1 (pow alpha 2))
(-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal -1 binary64)))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal -1 binary64)))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal -1 binary64)))
(* -1 (pow alpha 2))
(-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal -1 binary64)))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal -1 binary64)))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) 1))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal -1 binary64)))

eval462.0ms (3.8%)

Memory: -34.0MiB live, 222.3MiB allocated
Compiler: Compiled 42 249 to 4 152 computations (90.2% saved)

prune170.0ms (1.4%)

Memory

21.8MiB live, 291.6MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 011	4	1 015
Fresh	7	5	12
Picked	4	1	5
Done	1	1	2
Total	1 023	11	1 034

Accuracy

100.0%

Counts

1 034 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	30.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)))) alpha)
▶	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	74.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
▶	31.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
▶	27.9%	(/.f64 #s(literal 1 binary64) alpha)
	27.5%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
	48.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	35.1%	#s(literal 1 binary64)
✓	49.9%	#s(literal 1/2 binary64)

Compiler

Compiled 214 to 152 computations (29% saved)

simplify12.0ms (0.1%)

Memory

-11.4MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	(/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha))
✓	cost-diff	(+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	(+.f64 alpha #s(literal 1 binary64))
✓	cost-diff	(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	cost-diff	(/.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	(+.f64 #s(literal 2 binary64) alpha)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))

Rules

170×	`accelerator-lowering-fma.f32`
170×	`accelerator-lowering-fma.f64`
140×	`+-lowering-+.f64`
140×	`+-lowering-+.f32`
62×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	33	113
2	51	113
3	81	113
4	127	113
5	159	113
6	178	113
7	181	113
0	181	111

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (+ 2 alpha))
1
(+ 2 alpha)
2
alpha
(/ 1 alpha)
1
alpha
(/ (+ 1 beta) alpha)
(+ 1 beta)
1
beta
alpha
(/ 1 (+ 1 (/ (+ alpha 1) beta)))
1
(+ 1 (/ (+ alpha 1) beta))
(/ (+ alpha 1) beta)
(+ alpha 1)
alpha
beta
(/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)
(+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1)
(/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha))
(/ (* beta beta) (+ 2 beta))
(* beta beta)
beta
(+ 2 beta)
2
(+ beta alpha)
alpha
1

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

localize69.0ms (0.6%)

Memory

14.6MiB live, 170.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	100.0%	(+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64))
✓	accuracy	89.6%	(/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha))
✓	accuracy	86.7%	(/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
✓	accuracy	100.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) alpha)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))

Samples

42.0ms

256×

valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 13.0ms (45.7% of total)

ival-add: 13.0ms (45.7% of total)

ival-mult: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

1.0MiB live, 40.2MiB allocated

Counts

14 → 252

Calls

Call 1

Inputs
#<alt (/ 1 (+ 2 alpha))>
#<alt (+ 2 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (+ 1 beta)>
#<alt (/ 1 (+ 1 (/ (+ alpha 1) beta)))>
#<alt (+ 1 (/ (+ alpha 1) beta))>
#<alt (/ (+ alpha 1) beta)>
#<alt (+ alpha 1)>
#<alt (/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)>
#<alt (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1)>
#<alt (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha))>
#<alt (/ (* beta beta) (+ 2 beta))>
#<alt (* beta beta)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (/ 1 (+ 1 (/ 1 beta)))>
#<alt (+ (* -1 (/ alpha (* beta (pow (+ 1 (/ 1 beta)) 2)))) (/ 1 (+ 1 (/ 1 beta))))>
#<alt (+ (* alpha (- (/ alpha (* (pow beta 2) (pow (+ 1 (/ 1 beta)) 3))) (/ 1 (* beta (pow (+ 1 (/ 1 beta)) 2))))) (/ 1 (+ 1 (/ 1 beta))))>
#<alt (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 4)))) (/ 1 (* (pow beta 2) (pow (+ 1 (/ 1 beta)) 3))))) (/ 1 (* beta (pow (+ 1 (/ 1 beta)) 2))))) (/ 1 (+ 1 (/ 1 beta))))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha))) alpha)>
#<alt (/ (- (+ beta (/ (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2)) (pow alpha 2))) (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha)) alpha)>
#<alt (/ (- (+ beta (* -1 (/ (* (pow beta 4) (pow (+ 1 (/ 1 beta)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2)) (pow alpha 2))) (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2)) alpha) (* (pow beta 2) (+ 1 (/ 1 beta)))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* (pow beta 4) (pow (+ 1 (/ 1 beta)) 3)) alpha) (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2))) alpha)) (* (pow beta 2) (+ 1 (/ 1 beta)))) alpha))) alpha))>
#<alt (/ beta (+ 1 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 1 alpha) 2))) (/ 1 (+ 1 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 1 alpha) 3)) (/ 1 (pow (+ 1 alpha) 2)))) (/ 1 (+ 1 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 1 alpha) 4))) (/ 1 (pow (+ 1 alpha) 3)))) (/ 1 (pow (+ 1 alpha) 2)))) (/ 1 (+ 1 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 1 alpha) 2) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 1 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 1 alpha) 2) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 alpha) 2) beta)) (* -1 (+ 1 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 alpha) 3) beta)) (* -1 (pow (+ 1 alpha) 2))) beta)) (* -1 (+ 1 alpha))) beta)))>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (/ alpha beta)>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 (+ alpha beta)) beta)>
#<alt (/ (+ 1 (+ alpha beta)) beta)>
#<alt (/ (+ 1 (+ alpha beta)) beta)>
#<alt 1>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (+ 1 (+ (/ 1 beta) (/ alpha beta)))>
#<alt (/ 1 beta)>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (pow beta 2) alpha)))>
#<alt (+ 1/2 (* (pow beta 2) (+ (* -1/8 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/4 (/ 1 alpha)))))>
#<alt (+ 1/2 (* (pow beta 2) (+ (* beta (+ (* -1/2 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* -1/8 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/4 (/ 1 alpha)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* -1/2 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* -1/2 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3))) (* -1/2 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- 2 (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* 1/2 (- 2 (* -1 alpha))) (* 1/2 (/ (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2))) (* 2 (* alpha (- 2 (* -1 alpha))))) beta))) beta)) (* 1/2 (- 2 (* -1 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (- (* 1/2 (/ alpha (* beta (+ 2 beta)))) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (- (* alpha (+ (* -1/2 (/ alpha (* (pow beta 2) (+ 2 beta)))) (* 1/2 (/ 1 (* beta (+ 2 beta)))))) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (+ (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta)))) (* 1/2 (/ (pow beta 4) (* (pow alpha 3) (+ 2 beta)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta)))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow beta 2) (+ 2 beta))) (* 1/2 (/ (pow beta 3) (* alpha (+ 2 beta))))) alpha)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow beta 3) (+ 2 beta))) (* 1/2 (/ (pow beta 4) (* alpha (+ 2 beta))))) alpha)) (* -1/2 (/ (pow beta 2) (+ 2 beta)))) alpha)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow beta 2) alpha)))>
#<alt (+ 1 (* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/2 (/ 1 alpha)))))>
#<alt (+ 1 (* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- 2 (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ (* 2 (/ alpha beta)) (/ (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)) beta))) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2)) beta)) (* 2 (/ (* alpha (- 2 (* -1 alpha))) beta))) (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) beta))) (* -1 alpha)) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (/ alpha (* beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (+ 2 beta))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (/ (pow beta 2) (* alpha (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 2) (* alpha (+ 2 beta)))))>
#<alt (- (+ 1 (+ (/ (pow beta 2) (* alpha (+ 2 beta))) (/ (pow beta 4) (* (pow alpha 3) (+ 2 beta))))) (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (/ (pow beta 2) (* alpha (+ 2 beta))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) (+ 2 beta))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ (pow beta 4) (* alpha (+ 2 beta))) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha)))>
#<alt (* 1/2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1/2 (/ (* (+ 2 alpha) (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2))))) alpha)) (* -1/8 (/ (+ 2 alpha) (pow alpha 3)))))) (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- 2 (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (+ (* 2 (/ alpha beta)) (/ (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)) beta))) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2)) beta)) (* 2 (/ (* alpha (- 2 (* -1 alpha))) beta))) (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) beta))) (* -1 alpha)) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ alpha (* beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (+ 2 beta))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))>
#<alt (/ (pow beta 2) (* alpha (+ 2 beta)))>
#<alt (/ (+ (* -1 (/ (pow beta 3) (* alpha (+ 2 beta)))) (/ (pow beta 2) (+ 2 beta))) alpha)>
#<alt (/ (- (+ (/ (pow beta 2) (+ 2 beta)) (/ (pow beta 4) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha)>
#<alt (/ (- (+ (* -1 (/ (pow beta 5) (* (pow alpha 3) (+ 2 beta)))) (/ (pow beta 2) (+ 2 beta))) (+ (* -1 (/ (pow beta 4) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 3) (* alpha (+ 2 beta))))) alpha)>
#<alt (/ (pow beta 2) (* alpha (+ 2 beta)))>
#<alt (* -1 (/ (+ (* -1 (/ (pow beta 2) (+ 2 beta))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow beta 4) (* alpha (+ 2 beta))) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow beta 5) (* alpha (+ 2 beta))) (/ (pow beta 4) (+ 2 beta))) alpha)) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha))>
#<alt (* 1/2 (pow beta 2))>
#<alt (* (pow beta 2) (+ 1/2 (* -1/4 beta)))>
#<alt (* (pow beta 2) (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* (pow beta 2) (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt beta>
#<alt (* beta (- 1 (* 2 (/ 1 beta))))>
#<alt (* beta (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))))>
#<alt (* beta (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))))>
#<alt beta>
#<alt (* -1 (* beta (- (* 2 (/ 1 beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 4) beta)) 2) beta)) 1)))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	inf	(/ 1 (+ 1 (/ (+ alpha 1) beta)))
1.0ms	beta	@	-inf	(/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)
1.0ms	beta	@	inf	(/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)
1.0ms	beta	@	0	(/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)
0.0ms	alpha	@	inf	(/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)

rewrite520.0ms (4.3%)

Memory

-4.2MiB live, 554.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 244×	`-lowering-.f32`
5 244×	`-lowering-.f64`
5 056×	`/-lowering-/.f32`
5 056×	`/-lowering-/.f64`
2 732×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
1	159	92
2	1346	92
0	8531	90

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 417

Calls

Call 1

Inputs
(/ 1 (+ 2 alpha))
(+ 2 alpha)
(/ 1 alpha)
(/ (+ 1 beta) alpha)
(+ 1 beta)
(/ 1 (+ 1 (/ (+ alpha 1) beta)))
(+ 1 (/ (+ alpha 1) beta))
(/ (+ alpha 1) beta)
(+ alpha 1)
(/ (+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1) 2)
(+ (/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha)) 1)
(/ (/ (* beta beta) (+ 2 beta)) (+ beta alpha))
(/ (* beta beta) (+ 2 beta))
(* beta beta)

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

simplify444.0ms (3.7%)

Memory

-14.4MiB live, 623.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 778×	`accelerator-lowering-fma.f32`
6 778×	`accelerator-lowering-fma.f64`
4 804×	`-lowering-.f32`
4 804×	`-lowering-.f64`
2 874×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	2972
1	1667	2808
2	5094	2705
0	8178	2596

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -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))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(/ 1 (+ 1 (/ 1 beta)))
(+ (* -1 (/ alpha (* beta (pow (+ 1 (/ 1 beta)) 2)))) (/ 1 (+ 1 (/ 1 beta))))
(+ (* alpha (- (/ alpha (* (pow beta 2) (pow (+ 1 (/ 1 beta)) 3))) (/ 1 (* beta (pow (+ 1 (/ 1 beta)) 2))))) (/ 1 (+ 1 (/ 1 beta))))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 4)))) (/ 1 (* (pow beta 2) (pow (+ 1 (/ 1 beta)) 3))))) (/ 1 (* beta (pow (+ 1 (/ 1 beta)) 2))))) (/ 1 (+ 1 (/ 1 beta))))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha))) alpha)
(/ (- (+ beta (/ (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2)) (pow alpha 2))) (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* (pow beta 4) (pow (+ 1 (/ 1 beta)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2)) (pow alpha 2))) (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* (pow beta 2) (+ 1 (/ 1 beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2)) alpha) (* (pow beta 2) (+ 1 (/ 1 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* (pow beta 4) (pow (+ 1 (/ 1 beta)) 3)) alpha) (* (pow beta 3) (pow (+ 1 (/ 1 beta)) 2))) alpha)) (* (pow beta 2) (+ 1 (/ 1 beta)))) alpha))) alpha))
(/ beta (+ 1 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 1 alpha) 2))) (/ 1 (+ 1 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 1 alpha) 3)) (/ 1 (pow (+ 1 alpha) 2)))) (/ 1 (+ 1 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 1 alpha) 4))) (/ 1 (pow (+ 1 alpha) 3)))) (/ 1 (pow (+ 1 alpha) 2)))) (/ 1 (+ 1 alpha))))
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(- (+ 1 (/ (pow (+ 1 alpha) 2) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 1 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 1 alpha) 2) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 alpha) 2) beta)) (* -1 (+ 1 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 alpha) 3) beta)) (* -1 (pow (+ 1 alpha) 2))) beta)) (* -1 (+ 1 alpha))) beta)))
(+ 1 (/ 1 beta))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(/ alpha beta)
(* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/ alpha beta)
(* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha beta)) beta)
(/ (+ 1 (+ alpha beta)) beta)
(/ (+ 1 (+ alpha beta)) beta)
1
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
1
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
1/2
(+ 1/2 (* 1/4 (/ (pow beta 2) alpha)))
(+ 1/2 (* (pow beta 2) (+ (* -1/8 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/4 (/ 1 alpha)))))
(+ 1/2 (* (pow beta 2) (+ (* beta (+ (* -1/2 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* -1/8 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/4 (/ 1 alpha)))))
1
(+ 1 (* -1/2 (/ (+ 2 alpha) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* -1/2 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* -1/2 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3))) (* -1/2 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- 2 (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* 1/2 (- 2 (* -1 alpha))) (* 1/2 (/ (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2))) (* 2 (* alpha (- 2 (* -1 alpha))))) beta))) beta)) (* 1/2 (- 2 (* -1 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (- (* 1/2 (/ alpha (* beta (+ 2 beta)))) (* 1/2 (/ 1 (+ 2 beta))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (- (* alpha (+ (* -1/2 (/ alpha (* (pow beta 2) (+ 2 beta)))) (* 1/2 (/ 1 (* beta (+ 2 beta)))))) (* 1/2 (/ 1 (+ 2 beta))))))
1/2
(+ 1/2 (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta)))))
(+ 1/2 (+ (* -1/2 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta))))))
(+ 1/2 (+ (* -1/2 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (+ (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta)))) (* 1/2 (/ (pow beta 4) (* (pow alpha 3) (+ 2 beta)))))))
1/2
(+ 1/2 (* 1/2 (/ (pow beta 2) (* alpha (+ 2 beta)))))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow beta 2) (+ 2 beta))) (* 1/2 (/ (pow beta 3) (* alpha (+ 2 beta))))) alpha)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow beta 3) (+ 2 beta))) (* 1/2 (/ (pow beta 4) (* alpha (+ 2 beta))))) alpha)) (* -1/2 (/ (pow beta 2) (+ 2 beta)))) alpha)))
1
(+ 1 (* 1/2 (/ (pow beta 2) alpha)))
(+ 1 (* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/2 (/ 1 alpha)))))
(+ 1 (* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha)))))
2
(+ 2 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
2
(+ 2 (* -1 (/ (- 2 (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ (* 2 (/ alpha beta)) (/ (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)) beta))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2)) beta)) (* 2 (/ (* alpha (- 2 (* -1 alpha))) beta))) (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) beta))) (* -1 alpha)) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (/ alpha (* beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (+ 2 beta))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
1
(+ 1 (/ (pow beta 2) (* alpha (+ 2 beta))))
(+ 1 (+ (* -1 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 2) (* alpha (+ 2 beta)))))
(- (+ 1 (+ (/ (pow beta 2) (* alpha (+ 2 beta))) (/ (pow beta 4) (* (pow alpha 3) (+ 2 beta))))) (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta))))
1
(+ 1 (/ (pow beta 2) (* alpha (+ 2 beta))))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) (+ 2 beta))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha)))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (/ (pow beta 4) (* alpha (+ 2 beta))) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha)))
(* 1/2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/2 (/ 1 alpha))))
(* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha))))
(* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1/2 (/ (* (+ 2 alpha) (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2))))) alpha)) (* -1/8 (/ (+ 2 alpha) (pow alpha 3)))))) (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
1
(+ 1 (* -1 (/ (- 2 (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 2 (+ (* 2 (/ alpha beta)) (/ (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)) beta))) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2)) beta)) (* 2 (/ (* alpha (- 2 (* -1 alpha))) beta))) (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) beta))) (* -1 alpha)) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ alpha (* beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (+ 2 beta))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))
(/ (pow beta 2) (* alpha (+ 2 beta)))
(/ (+ (* -1 (/ (pow beta 3) (* alpha (+ 2 beta)))) (/ (pow beta 2) (+ 2 beta))) alpha)
(/ (- (+ (/ (pow beta 2) (+ 2 beta)) (/ (pow beta 4) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha)
(/ (- (+ (* -1 (/ (pow beta 5) (* (pow alpha 3) (+ 2 beta)))) (/ (pow beta 2) (+ 2 beta))) (+ (* -1 (/ (pow beta 4) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 3) (* alpha (+ 2 beta))))) alpha)
(/ (pow beta 2) (* alpha (+ 2 beta)))
(* -1 (/ (+ (* -1 (/ (pow beta 2) (+ 2 beta))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (- (/ (pow beta 4) (* alpha (+ 2 beta))) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow beta 5) (* alpha (+ 2 beta))) (/ (pow beta 4) (+ 2 beta))) alpha)) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha))
(* 1/2 (pow beta 2))
(* (pow beta 2) (+ 1/2 (* -1/4 beta)))
(* (pow beta 2) (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* (pow beta 2) (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))))
(* beta (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))))
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 4) beta)) 2) beta)) 1)))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha #s(literal 1/8 binary64)))))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 #s(literal 8 binary64) (.f64 alpha (.f64 alpha alpha)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
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(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 beta beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow beta 2) (+ 2 beta))) (* 1/2 (/ (pow beta 3) (* alpha (+ 2 beta))))) alpha)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 beta beta) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 beta beta)) beta) (.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) alpha))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow beta 3) (+ 2 beta))) (* 1/2 (/ (pow beta 4) (* alpha (+ 2 beta))))) alpha)) (* -1/2 (/ (pow beta 2) (+ 2 beta)))) alpha)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 beta beta) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 beta (.f64 beta beta)) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 beta #s(literal 4 binary64))) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow beta 2) alpha)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) alpha)))
(+ 1 (* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) beta) (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))) (/.f64 #s(literal 1/2 binary64) alpha))))
(+ 1 (* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (.f64 beta (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha alpha)) (.f64 beta (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1/4 binary64) (*.f64 alpha alpha)))))))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha #s(literal -2 binary64))) (*.f64 beta beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(- (+ 2 (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha #s(literal -2 binary64))) (.f64 beta beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- 2 (* -1 alpha)) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(+ 2 (* -1 (/ (- (+ 2 (+ (* 2 (/ alpha beta)) (/ (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)) beta))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (+.f64 (/.f64 (.f64 alpha #s(literal 2 binary64)) beta) (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 2 binary64)))) beta))
(+ 2 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2)) beta)) (* 2 (/ (* alpha (- 2 (* -1 alpha))) beta))) (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) beta))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha #s(literal -2 binary64)))) beta))) beta))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(+ 1 (+ (* alpha (- (/ alpha (* beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (/.f64 alpha (.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))))))
(+ 1 (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (+ 2 beta))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) beta) (/.f64 alpha (.f64 beta (.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta)))))
1
#s(literal 1 binary64)
(+ 1 (/ (pow beta 2) (* alpha (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 beta beta) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(+ 1 (+ (* -1 (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 2) (* alpha (+ 2 beta)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) alpha))
(- (+ 1 (+ (/ (pow beta 2) (* alpha (+ 2 beta))) (/ (pow beta 4) (* (pow alpha 3) (+ 2 beta))))) (/ (pow beta 3) (* (pow alpha 2) (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (.f64 alpha alpha))) (/.f64 (-.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) alpha)))
1
#s(literal 1 binary64)
(+ 1 (/ (pow beta 2) (* alpha (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 beta beta) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) (+ 2 beta))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (/ (pow beta 4) (* alpha (+ 2 beta))) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (pow.f64 beta #s(literal 4 binary64)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha))
(* 1/2 (/ (pow beta 2) alpha))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) alpha))
(* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 alpha)) (pow alpha 2))) (* 1/2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) beta) (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))) (/.f64 #s(literal 1/2 binary64) alpha)))
(* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (.f64 beta (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha alpha)) (.f64 beta (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1/4 binary64) (*.f64 alpha alpha))))))))
(* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1/2 (/ (* (+ 2 alpha) (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2))))) alpha)) (* -1/8 (/ (+ 2 alpha) (pow alpha 3)))))) (+ (* -1/8 (/ (pow (+ 2 alpha) 2) (pow alpha 3))) (* 1/4 (/ 1 (pow alpha 2)))))) (* 1/4 (/ (+ 2 alpha) (pow alpha 2))))) (* 1/2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (.f64 beta (+.f64 (.f64 beta (-.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha)))) (/.f64 #s(literal 1/4 binary64) (.f64 alpha alpha))) (.f64 beta (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1/4 binary64) (.f64 alpha alpha))))) alpha) (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 alpha #s(literal -1/8 binary64))) (.f64 alpha (.f64 alpha alpha))))))) (/.f64 (.f64 #s(literal -1/4 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha alpha))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha)) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha #s(literal -2 binary64))) (*.f64 beta beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(- (+ 1 (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (* (+ 2 alpha) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (.f64 beta beta))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha #s(literal -2 binary64))) (.f64 beta beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- 2 (* -1 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(+ 1 (* -1 (/ (- (+ 2 (+ (* 2 (/ alpha beta)) (/ (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)) beta))) (* -1 alpha)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (+.f64 (/.f64 (.f64 alpha #s(literal 2 binary64)) beta) (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (* (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2))) (- (* -1 alpha) 2)) beta)) (* 2 (/ (* alpha (- 2 (* -1 alpha))) beta))) (+ (* 2 alpha) (* (- 2 (* -1 alpha)) (- (* -1 alpha) 2)))) beta))) (* -1 alpha)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (.f64 alpha #s(literal 2 binary64)))) (.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha #s(literal -2 binary64)))) beta))) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ alpha (* beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (+.f64 (/.f64 alpha (.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta)))))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (+ 2 beta))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) beta) (/.f64 alpha (.f64 beta (.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta)))))
(/ (pow beta 2) (* alpha (+ 2 beta)))
(/.f64 (.f64 beta beta) (.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(/ (+ (* -1 (/ (pow beta 3) (* alpha (+ 2 beta)))) (/ (pow beta 2) (+ 2 beta))) alpha)
(/.f64 (-.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) alpha)
(/ (- (+ (/ (pow beta 2) (+ 2 beta)) (/ (pow beta 4) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha)
(/.f64 (+.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (pow.f64 beta #s(literal 4 binary64)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (- (+ (* -1 (/ (pow beta 5) (* (pow alpha 3) (+ 2 beta)))) (/ (pow beta 2) (+ 2 beta))) (+ (* -1 (/ (pow beta 4) (* (pow alpha 2) (+ 2 beta)))) (/ (pow beta 3) (* alpha (+ 2 beta))))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 beta #s(literal 4 binary64)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta))) alpha) (-.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (pow.f64 beta #s(literal 5 binary64)) (.f64 alpha (.f64 alpha (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))))) alpha)
(/ (pow beta 2) (* alpha (+ 2 beta)))
(/.f64 (.f64 beta beta) (.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(* -1 (/ (+ (* -1 (/ (pow beta 2) (+ 2 beta))) (/ (pow beta 3) (* alpha (+ 2 beta)))) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (/ (pow beta 4) (* alpha (+ 2 beta))) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha))
(/.f64 (+.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (pow.f64 beta #s(literal 4 binary64)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow beta 5) (* alpha (+ 2 beta))) (/ (pow beta 4) (+ 2 beta))) alpha)) (/ (pow beta 3) (+ 2 beta))) alpha)) (* -1 (/ (pow beta 2) (+ 2 beta)))) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 beta #s(literal 5 binary64)) (.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(* 1/2 (pow beta 2))
(.f64 #s(literal 1/2 binary64) (.f64 beta beta))
(* (pow beta 2) (+ 1/2 (* -1/4 beta)))
(.f64 beta (.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) beta))))
(* (pow beta 2) (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/8 binary64) beta)))))
(* (pow beta 2) (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal -1/4 binary64) (.f64 beta (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) beta)))))))
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)))
(* beta (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)))
(* beta (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))))
(.f64 beta (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 beta beta)) beta))))
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)))
(* -1 (* beta (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1)))
(.f64 beta (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 4) beta)) 2) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) beta) #s(literal -4 binary64)) beta)) beta)))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)

eval126.0ms (1%)

Memory: 6.9MiB live, 174.9MiB allocated
Compiler: Compiled 11 612 to 1 841 computations (84.1% saved)

prune142.0ms (1.2%)

Memory

15.4MiB live, 174.4MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	666	3	669
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	668	12	680

Accuracy

100.0%

Counts

680 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.2%	(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	30.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)))) alpha)
✓	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	6.6%	(/.f64 beta alpha)
✓	74.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
	34.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
	28.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	27.9%	(/.f64 #s(literal 1 binary64) alpha)
	48.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	35.1%	#s(literal 1 binary64)
✓	49.9%	#s(literal 1/2 binary64)

Compiler

Compiled 734 to 279 computations (62% saved)

regimes52.0ms (0.4%)

Memory

-6.1MiB live, 108.7MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	alpha
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms	beta
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.2%	1	`alpha`
99.2%	1	`beta`
99.2%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.2%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.2%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes44.0ms (0.4%)

Memory

-7.2MiB live, 106.5MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

10.0ms	beta
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms	alpha
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
95.6%	2	`alpha`
99.8%	2	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory

5.8MiB live, 88.1MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

4 calls:

8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms	beta
6.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.4%	2	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

13.1MiB live, 49.4MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))

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

Calls

3 calls:

8.0ms

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

6.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-22.3MiB live, 16.3MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
98.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
98.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	beta
3.0ms	alpha

Results

Accuracy	Segments	Branch
77.7%	2	`alpha`
95.5%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-52.7MiB live, 7.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

beta

Results

Accuracy	Segments	Branch
95.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
95.2%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	beta
2.0ms	alpha

Results

Accuracy	Segments	Branch
73.4%	2	`alpha`
70.0%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) alpha)

Calls

1 calls:

2.0ms

alpha

Results

Accuracy	Segments	Branch
73.0%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	beta
2.0ms	alpha

Results

Accuracy	Segments	Branch
70.0%	2	`beta`
53.5%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

1.0ms	beta
1.0ms	alpha

Results

Accuracy	Segments	Branch
49.9%	1	`alpha`
49.9%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999997951849223	-0.9999844245785869

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999994339	-0.9999997951849223

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999994339	-0.9999997951849223

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch17.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.4272969948199466	3338.2720762469044

Samples

4.0ms	83×	0	valid
3.0ms	19×	2	valid
3.0ms	26×	1	valid

Compiler

Compiled 178 to 135 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (28.2% of total)

ival-add: 2.0ms (28.2% of total)

adjust: 1.0ms (14.1% of total)

ival-sub: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

-5.0MiB live, 34.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.4272969948199466	3338.2720762469044

Samples

4.0ms	35×	1	valid
4.0ms	74×	0	valid
3.0ms	19×	2	valid

Compiler

Compiled 162 to 127 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (39.5% of total)

ival-add: 2.0ms (26.4% of total)

adjust: 1.0ms (13.2% of total)

ival-sub: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Memory

-2.1MiB live, 35.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.4272969948199466	3338.2720762469044

Samples

5.0ms	88×	0	valid
3.0ms	24×	1	valid
3.0ms	16×	2	valid

Compiler

Compiled 162 to 127 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.8% of total)

ival-add: 2.0ms (29.8% of total)

adjust: 1.0ms (14.9% of total)

ival-sub: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

-2.5MiB live, 35.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.4272969948199466	3338.2720762469044

Samples

5.0ms	91×	0	valid
5.0ms	17×	2	valid
2.0ms	20×	1	valid

Compiler

Compiled 162 to 127 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (47.4% of total)

ival-div: 2.0ms (23.7% of total)

adjust: 1.0ms (11.8% of total)

ival-sub: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-4.3MiB live, 35.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.4272969948199466	3338.2720762469044

Samples

9.0ms	87×	0	valid
3.0ms	16×	2	valid
3.0ms	25×	1	valid

Compiler

Compiled 114 to 103 computations (9.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 7.0ms (61.7% of total)

ival-div: 2.0ms (17.6% of total)

adjust: 1.0ms (8.8% of total)

ival-sub: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.31233498426074885	1241.8735763284087

Samples

7.0ms

128×

valid

Compiler

Compiled 130 to 111 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.3% of total)

ival-add: 2.0ms (49.3% of total)

ival-sub: 1.0ms (24.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-9.2MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.31233498426074885	1241.8735763284087

Samples

9.0ms

128×

valid

Compiler

Compiled 98 to 87 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (51.3% of total)

ival-sub: 1.0ms (17.1% of total)

ival-div: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

-1.0MiB live, 36.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.4272969948199466	3338.2720762469044

Samples

5.0ms	90×	0	valid
3.0ms	24×	1	valid
2.0ms	14×	2	valid

Compiler

Compiled 82 to 79 computations (3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30.5% of total)

ival-add: 2.0ms (30.5% of total)

adjust: 1.0ms (15.2% of total)

ival-sub: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.2%)

Memory

-14.0MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`+-commutative_binary64`
32×	`*-commutative_binary64`
26×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	258
1	123	258
2	141	258
3	160	258
4	182	258
5	194	258
6	196	258

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))) beta)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 beta #s(literal 3039929748475085/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 beta #s(literal 7 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(if (<=.f64 beta #s(literal 17/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(if (<=.f64 beta #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))
(if (<=.f64 alpha #s(literal 2206763817411543/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))) beta)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha))) beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))
(if (<=.f64 beta #s(literal 3039929748475085/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 beta #s(literal 7 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(if (<=.f64 beta #s(literal 17/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(if (<=.f64 beta #s(literal 17/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
(if (<=.f64 beta #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))
(if (<=.f64 alpha #s(literal 2206763817411543/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness2.4s (20.1%)

Memory

31.2MiB live, 4 774.5MiB allocated

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
6 778×	`accelerator-lowering-fma.f32`
6 778×	`accelerator-lowering-fma.f64`
6 732×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1230	8971
1	4135	8552
0	8596	8124
0	10	44
1	85	44
2	742	44
0	9043	43
0	529	2972
1	1667	2808
2	5094	2705
0	8178	2596
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	1468	11184
1	4750	10485
0	9560	9787

Stop Event

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

Compiler

Compiled 676 to 388 computations (42.6% saved)

preprocess125.0ms (1%)

Memory: -3.7MiB live, 246.7MiB allocated
Compiler: Compiled 550 to 200 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.2s (9.6%)

preprocess536.0ms (4.4%)

explain412.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify141.0ms (1.2%)

localize38.0ms (0.3%)

series20.0ms (0.2%)

rewrite422.0ms (3.5%)

simplify419.0ms (3.4%)

eval84.0ms (0.7%)

prune103.0ms (0.8%)

simplify469.0ms (3.9%)

localize269.0ms (2.2%)

series52.0ms (0.4%)

rewrite409.0ms (3.4%)

simplify625.0ms (5.1%)

eval141.0ms (1.2%)

prune118.0ms (1%)

simplify399.0ms (3.3%)

localize246.0ms (2%)

series116.0ms (1%)

rewrite504.0ms (4.1%)

simplify566.0ms (4.7%)

eval462.0ms (3.8%)

prune170.0ms (1.4%)

simplify12.0ms (0.1%)

localize69.0ms (0.6%)

series18.0ms (0.1%)

rewrite520.0ms (4.3%)

simplify444.0ms (3.7%)

eval126.0ms (1%)

prune142.0ms (1.2%)

regimes52.0ms (0.4%)

regimes44.0ms (0.4%)

regimes29.0ms (0.2%)

regimes21.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes16.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch18.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch17.0ms (0.1%)

simplify25.0ms (0.2%)

soundness2.4s (20.1%)

preprocess125.0ms (1%)

end0.0ms (0%)

Profiling