Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

4.4MiB live, 4.5MiB 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)

sample1.3s (11.1%)

Memory

37.4MiB live, 1 852.0MiB allocated

Samples

471.0ms	6 088×	0	valid
318.0ms	1 457×	1	valid
139.0ms	711×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 652.0ms

ival-add: 282.0ms (43.2% of total)

ival-div: 177.0ms (27.1% of total)

ival-sub: 82.0ms (12.6% of total)

adjust: 43.0ms (6.6% of total)

ival->: 39.0ms (6% of total)

exact: 15.0ms (2.3% of total)

ival-and: 11.0ms (1.7% of total)

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

Bogosity

preprocess525.0ms (4.7%)

Memory

-16.9MiB live, 225.3MiB 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) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 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)))))

explain132.0ms (1.2%)

Memory

21.2MiB live, 291.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	71	0
-	0	185

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	374×	0	valid
15.0ms	88×	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: 27.0ms

ival-add: 10.0ms (37.6% of total)

ival-div: 9.0ms (33.9% of total)

ival-sub: 4.0ms (15% of total)

adjust: 3.0ms (11.3% of total)

exact: 1.0ms (3.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify151.0ms (1.3%)

Memory

-32.2MiB live, 127.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	512	(/.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) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 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)

localize44.0ms (0.4%)

Memory

5.1MiB live, 98.2MiB 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	74.3%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

16.0ms	44×	1	valid
12.0ms	187×	0	valid
5.0ms	25×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 13.0ms (60.6% of total)

ival-add: 4.0ms (18.7% of total)

ival-sub: 2.0ms (9.3% of total)

adjust: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

-9.9MiB live, 27.6MiB 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	alpha	@	0	(/ (- beta alpha) (+ (+ alpha beta) 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	alpha	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite440.0ms (3.9%)

Memory

18.8MiB live, 725.2MiB 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 -1/2 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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 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 -1/2 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 -1/2 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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 alpha) (-.f64 beta 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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 alpha) (-.f64 beta 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))))))) #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 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 alpha) (-.f64 beta 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 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 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 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta 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)))))))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta 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))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 alpha) (-.f64 beta 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))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 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 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 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 alpha) (-.f64 beta 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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -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)) #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta 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))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 alpha) (-.f64 beta 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)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.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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simplify481.0ms (4.3%)

Memory

-32.0MiB live, 690.1MiB 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) (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 beta (.f64 beta beta)))) (/.f64 (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (.f64 alpha (+.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)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 alpha (fma.f64 alpha (fma.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))))) (.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (.f64 (fma.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)))) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.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) (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) (.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)))) alpha)) (-.f64 #s(literal 0 binary64) 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))
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(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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2
#s(literal 2 binary64)
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ 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)
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
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(* -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))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(- (+ 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)))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(- (+ (/ 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)))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
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(* -1 alpha)
(-.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 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)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) 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))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) 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))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)

eval141.0ms (1.2%)

Memory: 16.1MiB live, 129.3MiB allocated
Compiler: Compiled 18 403 to 2 325 computations (87.4% saved)

prune160.0ms (1.4%)

Memory

5.8MiB live, 164.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	592	10	602
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	593	10	603

Accuracy

100.0%

Counts

603 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	27.7%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
▶	71.6%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
▶	58.0%	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	25.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (.f64 (fma.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)))) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
	28.3%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
	27.1%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta) alpha)
	29.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	51.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
▶	35.5%	#s(literal 1 binary64)

Compiler

Compiled 364 to 226 computations (37.9% saved)

simplify381.0ms (3.4%)

Memory

-2.7MiB live, 512.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 beta alpha)
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	512	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	1280	(fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
✓	cost-diff	384	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

9 186×	`accelerator-lowering-fma.f32`
9 186×	`accelerator-lowering-fma.f64`
3 446×	`-lowering-.f32`
3 446×	`-lowering-.f64`
1 898×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	165
1	80	163
2	214	160
3	667	151
4	2225	151
5	5666	151
0	8370	146

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize210.0ms (1.9%)

Memory

-11.8MiB live, 185.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (-.f64 beta alpha) (+.f64 beta alpha))
✓	accuracy	100.0%	(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
✓	accuracy	58.8%	(fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	74.3%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

90.0ms	186×	0	valid
16.0ms	43×	1	valid
14.0ms	25×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 13.0ms (29.9% of total)

ival-mult: 13.0ms (29.9% of total)

ival-div: 11.0ms (25.3% of total)

adjust: 3.0ms (6.9% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series23.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite391.0ms (3.5%)

Memory

6.2MiB live, 722.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 338×	`/-lowering-/.f32`
5 338×	`/-lowering-/.f64`
4 340×	`-lowering-.f32`
4 340×	`-lowering-.f64`
2 706×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	221	127
2	2051	127
0	8188	120

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 029

Calls

Call 1

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

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

simplify466.0ms (4.1%)

Memory

-13.7MiB live, 946.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 140×	`accelerator-lowering-fma.f32`
8 140×	`accelerator-lowering-fma.f64`
6 370×	`+-lowering-+.f64`
6 370×	`+-lowering-+.f32`
4 960×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	897	5814
1	3038	5444
0	8318	5176

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval320.0ms (2.8%)

Memory: 30.1MiB live, 649.9MiB allocated
Compiler: Compiled 52 510 to 5 143 computations (90.2% saved)

prune201.0ms (1.8%)

Memory

-2.7MiB live, 566.5MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 637	13	1 650
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	1 643	17	1 660

Accuracy

100.0%

Counts

1 660 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	31.3%	(fma.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	61.5%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
	51.4%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.1%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	47.3%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
▶	31.5%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
	3.8%	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	35.7%	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)))) alpha)
	28.3%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
	25.9%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
▶	27.1%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta) alpha)
	29.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	27.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	35.5%	#s(literal 1 binary64)
▶	50.7%	#s(literal 1/2 binary64)

Compiler

Compiled 561 to 319 computations (43.1% saved)

simplify343.0ms (3%)

Memory

1.7MiB live, 588.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta)
✓	cost-diff	0	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta) alpha)
✓	cost-diff	64	(neg.f64 (/.f64 (.f64 (fma.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))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 alpha #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)
✓	cost-diff	512	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) beta)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	1408	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))

Rules

9 082×	`accelerator-lowering-fma.f32`
9 082×	`accelerator-lowering-fma.f64`
5 178×	`-lowering-.f32`
5 178×	`-lowering-.f64`
1 606×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	287
1	98	281
2	358	264
3	1988	255
4	6160	255
0	8359	247

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize165.0ms (1.5%)

Memory

-13.0MiB live, 299.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.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))))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
✓	accuracy	97.0%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta) alpha)
✓	accuracy	96.5%	(/.f64 (.f64 (fma.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)
✓	accuracy	100.0%	(/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)
✓	accuracy	100.0%	(*.f64 alpha #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	accuracy	100.0%	(-.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	73.9%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	71.6%	(/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))

Samples

48.0ms	185×	0	valid
21.0ms	40×	1	valid
21.0ms	29×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 277 to 38 computations (86.3% saved)

Precisions

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

ival-mult: 20.0ms (30.2% of total)

ival-div: 18.0ms (27.2% of total)

ival-add: 18.0ms (27.2% of total)

adjust: 5.0ms (7.6% of total)

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

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series48.0ms (0.4%)

Memory

16.2MiB live, 91.0MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	inf	(+ (* 1/2 (neg (/ (* (+ (* beta -2) -2) (* (+ 2 beta) (+ -1 (/ (+ 2 beta) alpha)))) alpha))) 1)
2.0ms	alpha	@	inf	(* (- beta alpha) 1/2)
2.0ms	alpha	@	-inf	(/ (* alpha -2) beta)
2.0ms	alpha	@	0	(/ (* (- beta alpha) 1/2) (* (+ 2 (+ beta alpha)) (- beta (+ alpha 2))))
1.0ms	beta	@	0	(/ (* (- beta alpha) 1/2) (* (+ 2 (+ beta alpha)) (- beta (+ alpha 2))))

rewrite445.0ms (3.9%)

Memory

-38.8MiB live, 712.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 848×	`-lowering-.f32`
5 848×	`-lowering-.f64`
3 996×	`/-lowering-/.f32`
3 996×	`/-lowering-/.f64`
3 592×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
1	270	224
2	2728	224
0	8578	214

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 841

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))))
(+.f64 (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 beta alpha) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta alpha)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))))) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) #s(literal 1/8 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) #s(literal -1/4 binary64)) (fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))))))
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(pow.f64 (/.f64 (fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (.f64 (-.f64 beta alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
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simplify489.0ms (4.3%)

Memory

33.8MiB live, 774.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 408×	`accelerator-lowering-fma.f32`
7 408×	`accelerator-lowering-fma.f64`
6 334×	`-lowering-.f32`
6 334×	`-lowering-.f64`
6 062×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1009	8762
1	3253	8340
0	8131	7826

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval260.0ms (2.3%)

Memory: 29.7MiB live, 330.4MiB allocated
Compiler: Compiled 51 450 to 6 469 computations (87.4% saved)

prune201.0ms (1.8%)

Memory

-16.2MiB live, 277.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 283	6	1 289
Fresh	4	7	11
Picked	3	2	5
Done	0	1	1
Total	1 290	16	1 306

Accuracy

100.0%

Counts

1 306 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	50.3%	(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	51.4%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.1%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	47.3%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
▶	3.8%	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	26.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)
	28.3%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
	25.9%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
	29.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	25.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
▶	31.5%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
✓	27.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
▶	27.1%	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))
✓	35.5%	#s(literal 1 binary64)
✓	50.7%	#s(literal 1/2 binary64)

Compiler

Compiled 503 to 282 computations (43.9% saved)

simplify356.0ms (3.2%)

Memory

11.9MiB live, 323.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha)
✓	cost-diff	320	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))
✓	cost-diff	704	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) alpha)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	128	(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 alpha beta)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
✓	cost-diff	384	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 #s(literal -2 binary64) alpha)
✓	cost-diff	0	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	cost-diff	0	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

9 140×	`accelerator-lowering-fma.f32`
9 140×	`accelerator-lowering-fma.f64`
4 310×	`-lowering-.f32`
4 310×	`-lowering-.f64`
2 010×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	220
1	98	218
2	309	214
3	1361	208
4	6143	204
0	8230	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize222.0ms (2%)

Memory

7.0MiB live, 198.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
✓	accuracy	97.0%	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))
✓	accuracy	96.5%	(/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha)
✓	accuracy	100.0%	(-.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	83.9%	(/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	73.9%	(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 alpha beta)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
✓	accuracy	100.0%	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) alpha)
✓	accuracy	100.0%	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	accuracy	67.2%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

107.0ms	165×	0	valid
33.0ms	35×	1	valid
26.0ms	43×	2	valid
9.0ms	13×	3	valid

Compiler

Compiled 216 to 38 computations (82.4% saved)

Precisions

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

ival-mult: 39.0ms (34% of total)

ival-add: 31.0ms (27% of total)

ival-sub: 24.0ms (20.9% of total)

ival-div: 14.0ms (12.2% of total)

adjust: 6.0ms (5.2% of total)

exact: 1.0ms (0.9% of total)

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

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

series52.0ms (0.5%)

Memory

-41.4MiB live, 20.4MiB allocated

Counts

16 → 288

Calls

Call 1

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

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 (* -1/2 alpha)>
#<alt (* alpha (- (* 1/4 alpha) 1/2))>
#<alt (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))>
#<alt (* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))>
#<alt -1>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))>
#<alt (- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)>
#<alt -2>
#<alt (- (* -1 alpha) 2)>
#<alt (- (* -1 alpha) 2)>
#<alt (- (* -1 alpha) 2)>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (/ alpha beta))>
#<alt (/ (- beta alpha) beta)>
#<alt (/ (- beta alpha) beta)>
#<alt (/ (- beta alpha) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt (/ alpha beta)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (* alpha (- beta 2))))>
#<alt (+ 1/2 (* alpha (+ (* -1/2 (* alpha (+ 1/4 (* 1/4 (- beta 2))))) (* 1/8 (- beta 2)))))>
#<alt (+ 1/2 (* alpha (+ (* 1/8 (- beta 2)) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ 1/4 (* 1/4 (- beta 2)))) (* 1/16 (- beta 2))))) (* -1/2 (+ 1/4 (* 1/4 (- beta 2)))))))))>
#<alt (* 1/2 (/ (+ 2 beta) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 beta)) (* 1/2 (/ (- 4 (* 4 (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (/ (+ (* 4 (+ 2 beta)) (* 4 (- 4 (* 4 (+ 2 beta))))) (pow alpha 2))) (+ (* 1/2 (+ 2 beta)) (* 1/2 (/ (- 4 (* 4 (+ 2 beta))) alpha)))) alpha)>
#<alt (/ (+ (* -1/2 (/ (+ (* -4 (+ (* 4 (+ 2 beta)) (* 4 (- 4 (* 4 (+ 2 beta)))))) (* 4 (- 4 (* 4 (+ 2 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* 4 (+ 2 beta)) (* 4 (- 4 (* 4 (+ 2 beta))))) (pow alpha 2))) (+ (* 1/2 (+ 2 beta)) (* 1/2 (/ (- 4 (* 4 (+ 2 beta))) alpha))))) alpha)>
#<alt (* 1/2 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 beta)) (* -1/2 (/ (+ 4 (* -4 (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 4 (+ 2 beta)) (* 4 (+ 4 (* -4 (+ 2 beta))))) alpha)) (* 1/2 (+ 4 (* -4 (+ 2 beta))))) alpha)) (* -1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (+ 4 (* -4 (+ 2 beta)))) (* 4 (+ (* 4 (+ 2 beta)) (* 4 (+ 4 (* -4 (+ 2 beta))))))) alpha)) (* 1/2 (+ (* 4 (+ 2 beta)) (* 4 (+ 4 (* -4 (+ 2 beta))))))) alpha)) (* 1/2 (+ 4 (* -4 (+ 2 beta))))) alpha)) (* -1/2 (+ 2 beta))) alpha))>
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2)))))>
#<alt (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2)))>
#<alt (* beta (+ (* -1/2 (/ alpha (* beta (+ 2 alpha)))) (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 beta)))))>
#<alt (* beta (+ (* -1/2 (/ alpha (* beta (+ 2 alpha)))) (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 beta)))))>
#<alt (* beta (+ (* -1/2 (/ alpha (* beta (+ 2 alpha)))) (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 beta)))))>
#<alt (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2)))>
#<alt (* -1 (* beta (+ (* -1 (/ (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) beta)) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (* -1 (* beta (+ (* -1 (/ (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) beta)) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (* -1 (* beta (+ (* -1 (/ (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) beta)) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 4>
#<alt (+ 4 (* 4 alpha))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* 1/8 alpha)>
#<alt (* alpha (+ 1/8 (* -1/8 alpha)))>
#<alt (* alpha (+ 1/8 (* alpha (- (* 3/32 alpha) 1/8))))>
#<alt (* alpha (+ 1/8 (* alpha (- (* alpha (+ 3/32 (* -1/16 alpha))) 1/8))))>
#<alt (/ 1/2 alpha)>
#<alt (/ (- 1/2 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1/2 (/ 6 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1/2 (/ 6 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1/2 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1/2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) 1/2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 6) alpha)) 2) alpha)) 1/2) alpha))>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))>
#<alt (+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))))>
#<alt (+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))))))))>
#<alt (+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2)))))))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))>
#<alt (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))>
#<alt (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)>
#<alt (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha)))>
#<alt (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha)))>
#<alt (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha)))>
#<alt (/ (pow beta 3) (pow alpha 3))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* (pow alpha 2) (pow beta 3)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3))))))))>
#<alt (/ (pow beta 3) (pow alpha 3))>
#<alt (* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))>
#<alt (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))>
#<alt (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))>
#<alt (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))>
#<alt (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)>
#<alt (/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))>
#<alt (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))))>
#<alt (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (+ (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))))))>
#<alt (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (+ (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* beta (- (+ (* -2 (/ beta (pow alpha 2))) (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* 6 (/ 1 (pow alpha 2)))))))))>
#<alt (* -2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (- (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2)))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* -1 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta))) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* -1 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))))) beta))) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (pow alpha 2))>
#<alt (* -1 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)>
#<alt (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)>
#<alt (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)>
#<alt (* -1 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha))>
#<alt (* -4 (- (* 2 (/ 1 alpha)) 1))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))))))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (+ (* 2 (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* beta (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha))))))))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (+ (* 2 (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* beta (- (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (* -2 (/ beta alpha))) (* 6 (/ 1 alpha))))))))>
#<alt (* -2 (/ (pow beta 3) alpha))>
#<alt (* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2)))) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2))))) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 3) alpha))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) beta)))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)>
#<alt (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))>
#<alt (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))>
#<alt (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))>
#<alt (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))>
#<alt (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))>
#<alt (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))>
#<alt (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))>
#<alt (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))>
#<alt (* -1 (+ 2 alpha))>
#<alt (- beta (+ 2 alpha))>
#<alt (- beta (+ 2 alpha))>
#<alt (- beta (+ 2 alpha))>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ (+ 2 alpha) beta))))>
#<alt (* beta (+ 1 (* -1 (/ (+ 2 alpha) beta))))>
#<alt (* beta (+ 1 (* -1 (/ (+ 2 alpha) beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1)))>
#<alt (- beta 2)>
#<alt (- (+ beta (* -1 alpha)) 2)>
#<alt (- (+ beta (* -1 alpha)) 2)>
#<alt (- (+ beta (* -1 alpha)) 2)>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* alpha (- (/ beta alpha) (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* alpha (- (/ beta alpha) (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- beta 2) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- beta 2) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- beta 2) alpha)))))>
#<alt (* 2 (- (* 2 (/ 1 alpha)) 1))>
#<alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (* 4 (/ 1 alpha)) 1)))>
#<alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1)))>
#<alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1)))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta)))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (* -1 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (* -1 (+ 2 beta))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (* -1 (+ 2 beta))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>

Calls

72 calls:

Time	Variable		Point	Expression
38.0ms	beta	@	-inf	(+ (* -1/2 (/ (* (+ (* beta -2) -2) (* (+ beta 2) (+ -1 (/ (+ beta 2) alpha)))) alpha)) (+ beta 1))
1.0ms	beta	@	0	(+ (* (/ (* 1/2 alpha) (* (+ alpha 2) (+ alpha 2))) (- beta (+ alpha 2))) 1/2)
1.0ms	alpha	@	inf	(+ (* (/ (* 1/2 alpha) (* (+ alpha 2) (+ alpha 2))) (- beta (+ alpha 2))) 1/2)
1.0ms	alpha	@	-inf	(+ (* (/ (* 1/2 alpha) (* (+ alpha 2) (+ alpha 2))) (- beta (+ alpha 2))) 1/2)
1.0ms	beta	@	-inf	(+ (* (/ (* 1/2 alpha) (* (+ alpha 2) (+ alpha 2))) (- beta (+ alpha 2))) 1/2)

rewrite418.0ms (3.7%)

Memory

26.6MiB live, 532.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 032×	`-lowering-.f32`
5 032×	`-lowering-.f64`
4 558×	`/-lowering-/.f32`
4 558×	`/-lowering-/.f64`
1 962×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	164
1	258	164
2	2530	164
0	8693	156

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 531

Calls

Call 1

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

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

simplify464.0ms (4.1%)

Memory

22.7MiB live, 897.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 160×	`accelerator-lowering-fma.f32`
8 160×	`accelerator-lowering-fma.f64`
5 428×	`-lowering-.f32`
5 428×	`-lowering-.f64`
4 242×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	5095
1	2224	4750
2	7294	4727
0	8046	4428

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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

eval441.0ms (3.9%)

Memory: -158.6MiB live, 316.3MiB allocated
Compiler: Compiled 27 462 to 2 627 computations (90.4% saved)

prune159.0ms (1.4%)

Memory

-21.1MiB live, 304.7MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	807	12	819
Fresh	4	4	8
Picked	3	2	5
Done	0	3	3
Total	814	21	835

Accuracy

100.0%

Counts

835 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	51.5%	(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) alpha) #s(literal 1/2 binary64))
✓	51.4%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.1%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	47.3%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	48.9%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
	49.6%	(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
	48.7%	(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
	24.1%	(/.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))
	29.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	28.3%	(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) alpha)
	25.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
	24.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
	29.5%	(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))))
	25.3%	(/.f64 #s(literal 1 binary64) alpha)
✓	31.5%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
✓	27.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	29.8%	(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
✓	35.5%	#s(literal 1 binary64)
✓	50.7%	#s(literal 1/2 binary64)
	3.8%	#s(literal 0 binary64)

Compiler

Compiled 822 to 334 computations (59.4% saved)

regimes59.0ms (0.5%)

Memory

-6.2MiB live, 150.1MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.9%	2	`alpha`
74.3%	1	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

16.5MiB live, 58.2MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) alpha) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.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)) #s(literal 1 binary64)) beta) alpha)
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))

Outputs

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

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

Calls

3 calls:

14.0ms

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

9.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 (+.f64 (/.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 39 to 26 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory

-21.0MiB live, 57.3MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) alpha) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)

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

Calls

3 calls:

31.0ms

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

7.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

12.4MiB live, 51.2MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
99.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

1.3MiB live, 42.3MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))

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

Calls

3 calls:

7.0ms

(+.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
97.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-6.2MiB live, 33.0MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))

Outputs

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

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

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

Calls

3 calls:

5.0ms

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

5.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

0.0MiB live, 39.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.7%	2	`alpha`
93.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-10.6MiB live, 26.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
93.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-25.7MiB live, 29.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
93.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.2%	3	`(/.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

25.6MiB live, 25.6MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
93.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-3.1MiB live, 36.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.1%	2	`alpha`
71.5%	2	`beta`
71.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-11.3MiB live, 28.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-13.4MiB live, 25.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.7%	1	`alpha`
50.7%	1	`beta`
50.7%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
50.7%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
50.7%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
3.8%	1	`alpha`
3.8%	1	`beta`
3.8%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
3.8%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
3.8%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999938869555713	-0.626843372106238

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999917404	-0.9999938869555713

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999917404	-0.9999938869555713

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.9999999999917404	-0.9999938869555713

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch3.0ms (0%)

Memory

-38.3MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6602323579120355	0.8774063196179593
0.0ms	-0.626843372106238	-4.058842845481256e-6

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch22.0ms (0.2%)

Memory

9.7MiB live, 48.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.06099871624315975	558369884.013205

Samples

6.0ms	104×	0	valid
4.0ms	20×	2	valid
4.0ms	36×	1	valid

Compiler

Compiled 128 to 115 computations (10.2% saved)

Precisions

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

ival-div: 4.0ms (41% of total)

ival-add: 3.0ms (30.8% of total)

adjust: 1.0ms (10.3% of total)

ival-sub: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015157432718441936	0.6602323579120355

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify15.0ms (0.1%)

Memory

-7.1MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	447
1	105	447
2	115	447
3	121	447
4	125	447
5	126	447

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 beta #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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.4s (12.3%)

Memory

43.8MiB live, 1 673.4MiB allocated

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
8 160×	`accelerator-lowering-fma.f32`
8 160×	`accelerator-lowering-fma.f64`
8 140×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1009	8762
1	3253	8340
0	8131	7826
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	37	164
1	258	164
2	2530	164
0	8693	156
0	36	236
1	270	224
2	2728	224
0	8578	214
0	897	5814
1	3038	5444
0	8318	5176
0	10	44
1	85	44
2	742	44
0	9043	43
0	684	5095
1	2224	4750
2	7294	4727
0	8046	4428

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

Compiler

Compiled 1 102 to 548 computations (50.3% saved)

preprocess153.0ms (1.4%)

Memory: -9.5MiB live, 267.6MiB allocated
Compiler: Compiled 928 to 190 computations (79.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.3s (11.1%)

preprocess525.0ms (4.7%)

explain132.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify151.0ms (1.3%)

localize44.0ms (0.4%)

series16.0ms (0.1%)

rewrite440.0ms (3.9%)

simplify481.0ms (4.3%)

eval141.0ms (1.2%)

prune160.0ms (1.4%)

simplify381.0ms (3.4%)

localize210.0ms (1.9%)

series23.0ms (0.2%)

rewrite391.0ms (3.5%)

simplify466.0ms (4.1%)

eval320.0ms (2.8%)

prune201.0ms (1.8%)

simplify343.0ms (3%)

localize165.0ms (1.5%)

series48.0ms (0.4%)

rewrite445.0ms (3.9%)

simplify489.0ms (4.3%)

eval260.0ms (2.3%)

prune201.0ms (1.8%)

simplify356.0ms (3.2%)

localize222.0ms (2%)

series52.0ms (0.5%)

rewrite418.0ms (3.7%)

simplify464.0ms (4.1%)

eval441.0ms (3.9%)

prune159.0ms (1.4%)

regimes59.0ms (0.5%)

regimes33.0ms (0.3%)

regimes46.0ms (0.4%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness1.4s (12.3%)

preprocess153.0ms (1.4%)

end0.0ms (0%)

Profiling