Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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 (12%)

Memory

75.1MiB live, 2 224.2MiB allocated

Samples

493.0ms	6 088×	0	valid
207.0ms	1 457×	1	valid
131.0ms	711×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 597.0ms

ival-div: 198.0ms (33.2% of total)

ival-add: 174.0ms (29.2% of total)

ival-sub: 88.0ms (14.7% of total)

ival->: 62.0ms (10.4% of total)

adjust: 43.0ms (7.2% of total)

exact: 17.0ms (2.8% of total)

ival-and: 11.0ms (1.8% of total)

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

Bogosity

preprocess522.0ms (4.9%)

Memory

-3.9MiB live, 151.6MiB 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)))))

explain181.0ms (1.7%)

Memory

-34.1MiB live, 201.8MiB 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

51.0ms	374×	0	valid
12.0ms	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 (37.3% of total)

ival-div: 9.0ms (33.6% of total)

ival-sub: 4.0ms (14.9% of total)

adjust: 3.0ms (11.2% of total)

exact: 1.0ms (3.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify139.0ms (1.3%)

Memory

0.5MiB live, 160.3MiB 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)

localize37.0ms (0.3%)

Memory

17.9MiB live, 95.3MiB 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

14.0ms	187×	0	valid
6.0ms	44×	1	valid
5.0ms	25×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-add: 6.0ms (40.5% of total)

ival-div: 5.0ms (33.7% of total)

ival-sub: 2.0ms (13.5% of total)

adjust: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-9.6MiB live, 32.0MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite383.0ms (3.6%)

Memory

12.1MiB live, 604.0MiB 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 (neg.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))) (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))) (neg.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 (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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(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))
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(/.f64 (fma.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 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (.f64 beta (.f64 beta beta))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
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(.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))

simplify391.0ms (3.7%)

Memory

18.3MiB live, 723.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval86.0ms (0.8%)

Memory: 15.3MiB live, 197.7MiB allocated
Compiler: Compiled 18 320 to 2 325 computations (87.3% saved)

prune137.0ms (1.3%)

Memory

-44.0MiB live, 213.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	591	11	602
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	592	11	603

Accuracy

100.0%

Counts

603 → 11

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))
	25.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (neg.f64 (/.f64 (fma.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))))) (+.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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
	27.1%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.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)
▶	28.3%	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 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 410 to 256 computations (37.6% saved)

simplify469.0ms (4.4%)

Memory

-10.5MiB live, 722.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta))) alpha)
✓	cost-diff	192	(fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta))
✓	cost-diff	384	(*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta)))
✓	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

14 872×	`accelerator-lowering-fma.f32`
14 872×	`accelerator-lowering-fma.f64`
3 534×	`-lowering-.f32`
3 534×	`-lowering-.f64`
2 692×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	168
1	84	168
2	213	165
3	612	164
4	1753	158
5	4500	152
0	8137	144

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

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

localize159.0ms (1.5%)

Memory

39.8MiB live, 274.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)
✓	accuracy	100.0%	(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	99.9%	(fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta))
✓	accuracy	98.7%	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta))) alpha)
✓	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

36.0ms	186×	0	valid
17.0ms	40×	1	valid
16.0ms	27×	2	valid
2.0ms	3×	3	valid

Compiler

Compiled 164 to 33 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 16.0ms (32.2% of total)

ival-div: 12.0ms (24.2% of total)

ival-mult: 12.0ms (24.2% of total)

adjust: 4.0ms (8.1% of total)

ival-sub: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series33.0ms (0.3%)

Memory

-20.0MiB live, 57.6MiB allocated

Counts

16 → 312

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

Calls

78 calls:

Time	Variable		Point	Expression
8.0ms	alpha	@	0	(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
2.0ms	beta	@	inf	(* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta (+ 2 beta)) alpha))) (neg beta)))
2.0ms	alpha	@	-inf	(/ (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta (+ 2 beta)) alpha))) (neg beta))) alpha)
1.0ms	alpha	@	inf	(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
1.0ms	beta	@	inf	(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)

rewrite396.0ms (3.7%)

Memory

12.2MiB live, 636.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 900×	`-lowering-.f32`
5 900×	`-lowering-.f64`
3 958×	`accelerator-lowering-fma.f32`
3 958×	`accelerator-lowering-fma.f64`
3 704×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	136
1	239	136
2	2281	136
0	8183	130

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 527

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

Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 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 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #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 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #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 alpha (+.f64 beta #s(literal 2 binary64))) (-.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 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #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 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (-.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
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(/.f64 (.f64 (.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 beta (+.f64 beta #s(literal 2 binary64))))
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simplify471.0ms (4.4%)

Memory

3.7MiB live, 742.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 640×	`accelerator-lowering-fma.f32`
9 640×	`accelerator-lowering-fma.f64`
5 038×	`+-lowering-+.f64`
5 038×	`+-lowering-+.f32`
4 672×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	4051
1	1638	3853
2	4979	3701
0	8357	3414

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

eval157.0ms (1.5%)

Memory: 21.3MiB live, 280.2MiB allocated
Compiler: Compiled 27 511 to 2 975 computations (89.2% saved)

prune106.0ms (1%)

Memory

-14.3MiB live, 264.4MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	879	14	893
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	887	17	904

Accuracy

100.0%

Counts

904 → 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))
▶	61.5%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.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))
	27.7%	(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 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))
	26.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))))) (.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) alpha)
	25.9%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.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) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)) (neg.f64 alpha))
▶	27.1%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.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)
	24.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
	29.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	29.2%	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
▶	27.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	28.3%	(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
✓	35.5%	#s(literal 1 binary64)
▶	50.7%	#s(literal 1/2 binary64)

Compiler

Compiled 555 to 329 computations (40.7% saved)

simplify330.0ms (3.1%)

Memory

28.7MiB live, 619.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

9 614×	`accelerator-lowering-fma.f32`
9 614×	`accelerator-lowering-fma.f64`
4 564×	`-lowering-.f32`
4 564×	`-lowering-.f64`
2 284×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	295
1	102	292
2	361	281
3	1857	267
4	6397	267
0	8101	258

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize227.0ms (2.1%)

Memory

-45.0MiB live, 446.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.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 beta alpha)
✓	accuracy	100.0%	(+.f64 beta alpha)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta alpha))
✓	accuracy	64.8%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 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 alpha (+.f64 beta #s(literal 2 binary64))) (-.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 alpha (+.f64 beta #s(literal 2 binary64))) (-.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 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))

Samples

54.0ms	133×	0	valid
44.0ms	63×	2	valid
29.0ms	58×	1	valid
2.0ms	2×	3	valid

Compiler

Compiled 292 to 38 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-add: 20.0ms (26.6% of total)

ival-div: 17.0ms (22.6% of total)

ival-mult: 17.0ms (22.6% of total)

adjust: 10.0ms (13.3% of total)

ival-sub: 7.0ms (9.3% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series48.0ms (0.5%)

Memory

23.5MiB live, 98.7MiB allocated

Counts

18 → 408

Calls

Call 1

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

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	0	(+ (* 1/2 (neg (/ (* (- (- -2 beta) beta) (* (+ 2 beta) (+ -1 (/ (+ 2 beta) alpha)))) alpha))) 1)
2.0ms	beta	@	-inf	(+ (* (/ (- beta alpha) (+ beta alpha)) 1/2) 1/2)
2.0ms	alpha	@	0	(* (+ alpha (+ beta 2)) (- beta (+ alpha 2)))
2.0ms	alpha	@	0	(/ (* (- beta alpha) 1/2) (* (+ alpha (+ beta 2)) (- beta (+ alpha 2))))
1.0ms	beta	@	0	(/ (* (- beta alpha) 1/2) (* (+ alpha (+ beta 2)) (- beta (+ alpha 2))))

rewrite376.0ms (3.5%)

Memory

-16.4MiB live, 583.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 568×	`/-lowering-/.f32`
5 568×	`/-lowering-/.f64`
2 974×	`-lowering-.f32`
2 974×	`-lowering-.f64`
2 284×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	240
1	294	231
2	3209	231
0	8724	226

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 685

Calls

Call 1

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

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

simplify589.0ms (5.6%)

Memory

16.7MiB live, 619.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 658×	`accelerator-lowering-fma.f32`
7 658×	`accelerator-lowering-fma.f64`
7 344×	`-lowering-.f32`
7 344×	`-lowering-.f64`
5 768×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1189	9371
1	3864	8997
0	8859	8472

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

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

eval276.0ms (2.6%)

Memory: -16.1MiB live, 278.0MiB allocated
Compiler: Compiled 43 733 to 4 456 computations (89.8% saved)

prune220.0ms (2.1%)

Memory

-1.6MiB live, 199.2MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1 203	5	1 208
Fresh	2	9	11
Picked	2	3	5
Done	0	1	1
Total	1 207	18	1 225

Accuracy

100.0%

Counts

1 225 → 18

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))
	25.1%	(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha) #s(literal 1 binary64)) alpha)
	26.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))))) (.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) alpha)
	25.9%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.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) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)) (neg.f64 alpha))
	29.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
▶	24.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
▶	29.2%	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
	7.8%	(/.f64 beta alpha)
	31.5%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
✓	27.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	28.3%	(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
✓	35.5%	#s(literal 1 binary64)
✓	50.7%	#s(literal 1/2 binary64)

Compiler

Compiled 495 to 291 computations (41.2% saved)

simplify451.0ms (4.3%)

Memory

3.3MiB live, 521.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
✓	cost-diff	128	(fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))
✓	cost-diff	512	(*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) alpha)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
✓	cost-diff	0	(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓	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

19 126×	`accelerator-lowering-fma.f32`
19 126×	`accelerator-lowering-fma.f64`
3 378×	`-lowering-.f32`
3 378×	`-lowering-.f64`
2 558×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	129
1	76	129
2	190	129
3	535	127
4	1516	121
5	4191	121
0	8198	112

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
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)
beta
(+ (* beta -1/8) 1/4)
-1/8
1/4
1/2
(/ (+ 1 (/ -2 alpha)) alpha)
(+ 1 (/ -2 alpha))
1
(/ -2 alpha)
-2
alpha
(/ (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))) alpha)
(* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta)))
-1/2
(+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))
(+ 2 beta)
2
beta
(+ -1 (/ (+ beta beta) alpha))
-1
(/ (+ beta beta) alpha)
(+ beta beta)
alpha
(neg beta)

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

localize113.0ms (1.1%)

Memory

4.9MiB live, 163.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta)))
✓	accuracy	100.0%	(neg.f64 beta)
✓	accuracy	99.9%	(fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))
✓	accuracy	98.8%	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
✓	accuracy	100.0%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	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

30.0ms	167×	0	valid
22.0ms	53×	1	valid
16.0ms	36×	2	valid

Compiler

Compiled 130 to 34 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.2% of total)

ival-add: 13.0ms (27% of total)

ival-div: 12.0ms (24.9% of total)

adjust: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series29.0ms (0.3%)

Memory

-15.6MiB live, 22.8MiB allocated

Counts

14 → 192

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 (+ (* beta (+ (* beta -1/8) 1/4)) 1/2)>
#<alt (+ (* beta -1/8) 1/4)>
#<alt (/ (+ 1 (/ -2 alpha)) alpha)>
#<alt (+ 1 (/ -2 alpha))>
#<alt (/ -2 alpha)>
#<alt (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta)))>
#<alt (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))>
#<alt (/ (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))) alpha)>
#<alt (+ 2 beta)>
#<alt (neg beta)>

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

Calls

48 calls:

Time	Variable		Point	Expression
17.0ms	alpha	@	inf	(/ (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))) alpha)
1.0ms	alpha	@	inf	(* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta)))
1.0ms	alpha	@	-inf	(/ (+ 1 (/ -2 alpha)) alpha)
1.0ms	alpha	@	-inf	(/ (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))) alpha)
1.0ms	alpha	@	-inf	(* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta)))

rewrite466.0ms (4.4%)

Memory

19.8MiB live, 613.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 044×	`/-lowering-/.f32`
5 044×	`/-lowering-/.f64`
4 330×	`-lowering-.f32`
4 330×	`-lowering-.f64`
2 794×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	210	97
2	1891	97
0	8436	90

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 426

Calls

Call 1

Inputs
(+ (* (/ alpha (- -2 alpha)) 1/2) 1/2)
(/ alpha (- -2 alpha))
(- -2 alpha)
(+ (* -1 1/2) 1/2)
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)
(+ (* beta -1/8) 1/4)
(/ (+ 1 (/ -2 alpha)) alpha)
(+ 1 (/ -2 alpha))
(/ -2 alpha)
(* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta)))
(+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))
(/ (* -1/2 (+ (* (+ 2 beta) (+ -1 (/ (+ beta beta) alpha))) (neg beta))) alpha)
(+ 2 beta)
(neg beta)

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

simplify304.0ms (2.9%)

Memory

-1.5MiB live, 676.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 518×	`accelerator-lowering-fma.f32`
10 518×	`accelerator-lowering-fma.f64`
4 204×	`-lowering-.f32`
4 204×	`-lowering-.f64`
2 046×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1797
1	678	1716
2	1792	1561
3	5828	1520
0	8343	1431

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval82.0ms (0.8%)

Memory: 22.9MiB live, 219.9MiB allocated
Compiler: Compiled 15 855 to 1 800 computations (88.6% saved)

prune86.0ms (0.8%)

Memory

-17.0MiB live, 192.8MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	607	11	618
Fresh	5	4	9
Picked	2	3	5
Done	0	4	4
Total	614	22	636

Accuracy

100.0%

Counts

636 → 22

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))
✓	51.4%	(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))
	29.2%	(/.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
	29.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	13.1%	(/.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha))
	24.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal -2 binary64)) alpha)) 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)
	6.5%	(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
	7.8%	(/.f64 beta alpha)
	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))
	29.2%	(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
✓	35.5%	#s(literal 1 binary64)
✓	50.7%	#s(literal 1/2 binary64)
	3.8%	#s(literal 0 binary64)

Compiler

Compiled 755 to 323 computations (57.2% saved)

regimes58.0ms (0.5%)

Memory

-5.3MiB live, 153.5MiB 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)
(/.f64 beta 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 alpha #s(literal -2 binary64)) (*.f64 alpha 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 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #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 (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))
(/.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.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 -1/2 binary64) (fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha) #s(literal 1 binary64)) alpha)
(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta))) alpha)
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.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 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.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 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.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 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))))) (.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (+.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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.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) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)) (neg.f64 alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (neg.f64 (/.f64 (fma.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))))) (+.f64 #s(literal 1 binary64) beta)) alpha)

Outputs

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

5 calls:

13.0ms	beta
12.0ms	alpha
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`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

-2.2MiB live, 76.9MiB allocated

Counts

32 → 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)
(/.f64 beta 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 alpha #s(literal -2 binary64)) (*.f64 alpha 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 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #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 (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))
(/.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.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 -1/2 binary64) (fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha) #s(literal 1 binary64)) alpha)
(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta beta) alpha)) (neg.f64 beta))) alpha)

Outputs

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

9.0ms

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

8.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

4.9MiB live, 45.7MiB allocated

Counts

25 → 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)
(/.f64 beta 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 alpha #s(literal -2 binary64)) (*.f64 alpha 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 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #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 (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))

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:

8.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes33.0ms (0.3%)

Memory

-1.3MiB live, 36.7MiB 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)
(/.f64 beta 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 alpha #s(literal -2 binary64)) (*.f64 alpha 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 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #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 (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:

20.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes35.0ms (0.3%)

Memory

-9.5MiB live, 28.7MiB 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)
(/.f64 beta 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 alpha #s(literal -2 binary64)) (*.f64 alpha 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 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #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 (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:

23.0ms

(/.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)))

5.0ms

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

24.3MiB live, 24.3MiB allocated

Counts

16 → 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)
(/.f64 beta 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 alpha #s(literal -2 binary64)) (*.f64 alpha 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.2%	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)

regimes67.0ms (0.6%)

Memory

-16.3MiB live, 22.1MiB allocated

Counts

14 → 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)
(/.f64 beta 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:

58.0ms

(/.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))

4.0ms

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

Results

Accuracy	Segments	Branch
98.1%	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)

regimes30.0ms (0.3%)

Memory

-11.1MiB live, 31.6MiB allocated

Counts

12 → 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)
(/.f64 beta 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:

18.0ms	alpha
4.0ms	(/.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
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)

regimes11.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB 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)
(/.f64 beta 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:

3.0ms

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

3.0ms

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

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)

regimes46.0ms (0.4%)

Memory

-20.2MiB live, 18.4MiB 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)
(/.f64 beta 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:

39.0ms

(+.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

15.7MiB live, 15.7MiB allocated

Counts

8 → 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)
(/.f64 beta 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)))

3.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes19.0ms (0.2%)

Memory

-11.6MiB live, 27.0MiB 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:

9.0ms	beta
3.0ms	alpha
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
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

20.5MiB live, 20.5MiB 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:

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

Results

Accuracy	Segments	Branch
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)

regimes24.0ms (0.2%)

Memory

-21.3MiB live, 17.8MiB 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:

17.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	beta
2.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
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

12.5MiB live, 12.5MiB 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

0.6MiB live, 0.6MiB 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

0.6MiB live, 0.6MiB 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

0.4MiB live, 0.4MiB 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

0.5MiB live, 0.5MiB 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

0.4MiB live, 0.4MiB 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

0.4MiB live, 0.4MiB 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

0.5MiB live, 0.5MiB 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

0.9MiB live, 0.9MiB 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

0.5MiB live, 0.5MiB 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

0.5MiB live, 0.5MiB 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

0.5MiB live, 0.5MiB 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)

bsearch52.0ms (0.5%)

Memory

-13.0MiB live, 32.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	0.06099871624315975	558369884.013205

Samples

34.0ms	20×	2	valid
6.0ms	104×	0	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: 40.0ms

ival-add: 34.0ms (85.4% of total)

ival-div: 3.0ms (7.5% of total)

adjust: 1.0ms (2.5% of total)

ival-sub: 1.0ms (2.5% 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

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015157432718441936	0.6602323579120355

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify18.0ms (0.2%)

Memory

-14.7MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	434
1	98	434
2	111	434
3	117	434
4	120	434

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.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 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.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) (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 -4503577109372359/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.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 beta alpha) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.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 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.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 beta alpha) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.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) (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 beta alpha) #s(literal 2 binary64))) #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 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 beta alpha) #s(literal 2 binary64))) #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 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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)

soundness1.5s (14.1%)

Memory

4.1MiB live, 1 434.8MiB allocated

Rules

10 518×	`accelerator-lowering-fma.f32`
10 518×	`accelerator-lowering-fma.f64`
9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
9 640×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	210	97
2	1891	97
0	8436	90
0	10	44
1	85	44
2	742	44
0	9043	43
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	1189	9371
1	3864	8997
0	8859	8472
0	239	1797
1	678	1716
2	1792	1561
3	5828	1520
0	8343	1431
0	536	4051
1	1638	3853
2	4979	3701
0	8357	3414

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

Compiler

Compiled 1 103 to 542 computations (50.9% saved)

preprocess79.0ms (0.7%)

Memory: 39.6MiB live, 236.0MiB allocated
Compiler: Compiled 902 to 178 computations (80.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.3s (12%)

preprocess522.0ms (4.9%)

explain181.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify139.0ms (1.3%)

localize37.0ms (0.3%)

series15.0ms (0.1%)

rewrite383.0ms (3.6%)

simplify391.0ms (3.7%)

eval86.0ms (0.8%)

prune137.0ms (1.3%)

simplify469.0ms (4.4%)

localize159.0ms (1.5%)

series33.0ms (0.3%)

rewrite396.0ms (3.7%)

simplify471.0ms (4.4%)

eval157.0ms (1.5%)

prune106.0ms (1%)

simplify330.0ms (3.1%)

localize227.0ms (2.1%)

series48.0ms (0.5%)

rewrite376.0ms (3.5%)

simplify589.0ms (5.6%)

eval276.0ms (2.6%)

prune220.0ms (2.1%)

simplify451.0ms (4.3%)

localize113.0ms (1.1%)

series29.0ms (0.3%)

rewrite466.0ms (4.4%)

simplify304.0ms (2.9%)

eval82.0ms (0.8%)

prune86.0ms (0.8%)

regimes58.0ms (0.5%)

regimes25.0ms (0.2%)

regimes21.0ms (0.2%)

regimes33.0ms (0.3%)

regimes35.0ms (0.3%)

regimes14.0ms (0.1%)

regimes67.0ms (0.6%)

regimes30.0ms (0.3%)

regimes11.0ms (0.1%)

regimes46.0ms (0.4%)

regimes8.0ms (0.1%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes24.0ms (0.2%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.5%)

bsearch0.0ms (0%)

simplify18.0ms (0.2%)

soundness1.5s (14.1%)

preprocess79.0ms (0.7%)

end0.0ms (0%)

Profiling