Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.2s (12.5%)

Memory

48.5MiB live, 1 893.4MiB allocated

Samples

464.0ms	6 058×	0	valid
190.0ms	1 447×	1	valid
184.0ms	751×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-div: 170.0ms (29.8% of total)

ival-add: 165.0ms (28.9% of total)

ival->: 80.0ms (14% of total)

ival-sub: 77.0ms (13.5% of total)

adjust: 50.0ms (8.8% of total)

exact: 16.0ms (2.8% of total)

ival-and: 10.0ms (1.8% of total)

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

Bogosity

preprocess529.0ms (5.6%)

Memory

39.7MiB live, 264.1MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain129.0ms (1.4%)

Memory

-6.4MiB live, 311.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
80	-	-	`(+.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	80	0

Confusion

	Predicted +	Predicted -
+	80	0
-	0	176

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	0
-	0	0	176

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	176
1	80

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms	354×	0	valid
14.0ms	102×	1	valid
11.0ms	56×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

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

ival-add: 10.0ms (35.6% of total)

ival-div: 9.0ms (32% of total)

adjust: 4.0ms (14.2% of total)

ival-sub: 4.0ms (14.2% of total)

exact: 1.0ms (3.6% 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
▶	71.6%	(/.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)

simplify150.0ms (1.6%)

Memory

-41.1MiB live, 160.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize68.0ms (0.7%)

Memory

-13.3MiB live, 64.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

30.0ms	177×	0	valid
6.0ms	51×	1	valid
5.0ms	28×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-add: 24.0ms (73.4% of total)

ival-div: 4.0ms (12.2% of total)

adjust: 2.0ms (6.1% of total)

ival-sub: 2.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

-13.3MiB live, 25.3MiB 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) 2)>
#<alt (+ alpha beta)>

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 (+ 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)))>
#<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)))>

Calls

36 calls:

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

rewrite388.0ms (4.1%)

Memory

22.4MiB live, 691.3MiB 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) 2)
(+ alpha beta)

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

simplify487.0ms (5.2%)

Memory

20.9MiB live, 691.6MiB 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)))))
(+ 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)))
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)))

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

eval80.0ms (0.8%)

Memory: 11.7MiB live, 201.4MiB allocated
Compiler: Compiled 18 812 to 2 380 computations (87.3% saved)

prune94.0ms (1%)

Memory

-16.2MiB live, 196.7MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	588	14	602
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	588	15	603

Accuracy

100.0%

Counts

603 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
	71.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	71.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	41.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.3%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	69.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	44.0%	(/.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.1%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))))) alpha)
	32.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)))) alpha)
▶	31.6%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
▶	30.7%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha))) alpha)
	32.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	71.6%	(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)))
▶	38.5%	#s(literal 1 binary64)

Compiler

Compiled 539 to 348 computations (35.4% saved)

simplify570.0ms (6%)

Memory

-25.3MiB live, 858.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 beta (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha))) alpha)
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha)))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))))
✓	cost-diff	0	(+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
✓	cost-diff	0	(*.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))
✓	cost-diff	12928	(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)))

Rules

21 128×	`accelerator-lowering-fma.f32`
21 128×	`accelerator-lowering-fma.f64`
5 166×	`-lowering-.f32`
5 166×	`-lowering-.f64`
1 952×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	262
1	76	261
2	186	249
3	500	244
4	1236	240
5	3731	235
6	5518	235
0	8326	226

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize196.0ms (2.1%)

Memory

14.5MiB live, 440.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 beta (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))
✓	accuracy	97.7%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha))) alpha)
✓	accuracy	97.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)))) alpha)
✓	accuracy	100.0%	(+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 alpha #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta))
✓	accuracy	99.6%	(/.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	97.2%	(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)))
✓	accuracy	72.2%	(log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
✓	accuracy	71.6%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))

Samples

84.0ms	128×	1	valid
32.0ms	105×	0	valid
26.0ms	23×	2	valid

Compiler

Compiled 266 to 35 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-add: 37.0ms (35.6% of total)

ival-div: 25.0ms (24.1% of total)

ival-mult: 15.0ms (14.4% of total)

ival-log: 11.0ms (10.6% of total)

adjust: 7.0ms (6.7% of total)

ival-exp: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

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

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

series70.0ms (0.7%)

Memory

14.4MiB live, 165.4MiB allocated

Counts

20 → 384

Calls

Call 1

Inputs
#<alt (exp (* (log (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))) -1))>
#<alt (* (log (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))) -1)>
#<alt (log (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)))>
#<alt (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))>
#<alt (/ (+ (/ beta (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (+ 2 (/ (+ (* alpha -2) -2) beta)) 2)>
#<alt (+ 2 (/ (+ (* alpha -2) -2) beta))>
#<alt (/ (+ (* alpha -2) -2) beta)>
#<alt (+ (* alpha -2) -2)>
#<alt (* 1/2 (* (+ 2 beta) (+ (* beta -2) -2)))>
#<alt (+ 1 (+ beta (/ (* 1/2 (* (+ 2 beta) (+ (* beta -2) -2))) alpha)))>
#<alt (/ (+ 1 (+ beta (/ (* 1/2 (* (+ 2 beta) (+ (* beta -2) -2))) alpha))) alpha)>
#<alt (+ beta (/ (* 1/2 (* (+ 2 beta) (+ (* beta -2) -2))) alpha))>
#<alt (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)>
#<alt (* alpha -2)>
#<alt (/ (* 1/2 (* (+ 2 beta) (+ (* beta -2) -2))) alpha)>
#<alt (* (+ 2 beta) (+ (* beta -2) -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 (log (/ 2 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha)))))) (* beta (+ (/ 1 (* (+ 2 alpha) (- 1 (/ alpha (+ 2 alpha))))) (/ alpha (* (pow (+ 2 alpha) 2) (- 1 (/ alpha (+ 2 alpha))))))))>
#<alt (+ (* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha)))))) (* beta (+ (* -1/2 (* beta (+ (* -1 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* -1 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (+ (/ 1 (* (+ 2 alpha) (- 1 (/ alpha (+ 2 alpha))))) (/ alpha (* (pow (+ 2 alpha) 2) (- 1 (/ alpha (+ 2 alpha)))))))))>
#<alt (+ (* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha)))))) (* beta (+ (* beta (+ (* -1/2 (+ (* -1 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* -1 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* -1/6 (* beta (+ (* -3 (* (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (- 1 (/ alpha (+ 2 alpha))))) (+ (* -3 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 3) (pow (- 1 (/ alpha (+ 2 alpha))) 3))))))))) (+ (/ 1 (* (+ 2 alpha) (- 1 (/ alpha (+ 2 alpha))))) (/ alpha (* (pow (+ 2 alpha) 2) (- 1 (/ alpha (+ 2 alpha)))))))))>
#<alt (* -1/2 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (+ (* -1/2 (+ 2 (* 2 alpha))) (* -1/2 (/ (+ (* -2 (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))))) (* -1/4 (pow (+ 2 (* 2 alpha)) 2))) beta))) beta)>
#<alt (/ (+ (* -1/2 (+ 2 (* 2 alpha))) (+ (* -1/2 (/ (+ (* -2 (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))))) (* -1/4 (pow (+ 2 (* 2 alpha)) 2))) beta)) (* -1/6 (/ (+ (* -6 (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))) (+ (* 1/4 (pow (+ 2 (* 2 alpha)) 3)) (* 3 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))))) (pow beta 2))))) beta)>
#<alt (/ (+ (* -1/2 (+ 2 (* 2 alpha))) (+ (* -1/2 (/ (+ (* -2 (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))))) (* -1/4 (pow (+ 2 (* 2 alpha)) 2))) beta)) (+ (* -1/6 (/ (+ (* -6 (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))) (+ (* 1/4 (pow (+ 2 (* 2 alpha)) 3)) (* 3 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))))) (pow beta 2))) (* -1/24 (/ (+ (* -24 (+ (* -1/2 (* (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))))) (* 1/2 (- (* alpha (pow (+ 2 alpha) 3)) (* -1 (pow (+ 2 alpha) 4)))))))) (+ (* -12 (pow (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) 2)) (+ (* -6 (* (pow (+ 2 (* 2 alpha)) 2) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -3/8 (pow (+ 2 (* 2 alpha)) 4)) (* 12 (* (+ 2 (* 2 alpha)) (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))))))))) (pow beta 3)))))) beta)>
#<alt (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))>
#<alt (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (+ (* -2 (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* 1/6 (/ (+ (* -6 (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 3)) (* 3 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha)))))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 3)) (* 3 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))))) (* 1/24 (/ (+ (* -24 (+ (* -1/2 (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (pow (+ 2 alpha) 2) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (+ (* 1/2 (* (+ 2 alpha) (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))) (* 1/2 (* (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha)))))) (- (* -1 alpha) (+ 2 alpha)))))))) (+ (* -12 (pow (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) 2)) (+ (* -6 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (+ (* -3/8 (pow (- (* -1 alpha) (+ 2 alpha)) 4)) (* 12 (* (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha)))))) (- (* -1 alpha) (+ 2 alpha)))))))) beta))) beta)) (* -1/2 (+ (* -2 (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))>
#<alt (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta)))))) (* -1 (* alpha (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))))>
#<alt (+ (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta)))))) (* alpha (+ (* -1 (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (* -1/2 (* alpha (+ (* -1 (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -1 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))))>
#<alt (+ (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta)))))) (* alpha (+ (* -1 (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (+ (* -1 (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -1 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* -1/6 (* alpha (+ (* -3 (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* 2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 3) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 3 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))))))))))>
#<alt (* -1 (+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha)))))>
#<alt (- (+ (* -1 (+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha))))) (* -1 (/ (pow (+ 2 beta) 2) (* alpha (+ 2 (* 2 beta)))))) (/ (* beta (+ 2 beta)) (* alpha (+ 2 (* 2 beta)))))>
#<alt (- (+ (* -1 (+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha))))) (+ (* -1 (/ (pow (+ 2 beta) 2) (* alpha (+ 2 (* 2 beta))))) (* -1/2 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))))) (* -1 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))))) (/ (* beta (+ 2 beta)) (* alpha (+ 2 (* 2 beta)))))>
#<alt (- (+ (* -1 (+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha))))) (+ (* -1 (/ (pow (+ 2 beta) 2) (* alpha (+ 2 (* 2 beta))))) (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))))) (* -1 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* -1/6 (/ (+ (* -3 (* (+ 2 (* 2 beta)) (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))))) (+ (* -3 (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 3) (pow (+ 2 (* 2 beta)) 3))))) (pow alpha 3)))))) (/ (* beta (+ 2 beta)) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (+ (log (/ 2 (- (* -1 beta) (+ 2 beta)))) (* -1 (log (/ -1 alpha)))))>
#<alt (+ (* -1 (+ (log (/ 2 (- (* -1 beta) (+ 2 beta)))) (* -1 (log (/ -1 alpha))))) (+ (/ (* beta (+ 2 beta)) (* alpha (- (* -1 beta) (+ 2 beta)))) (/ (pow (+ 2 beta) 2) (* alpha (- (* -1 beta) (+ 2 beta))))))>
#<alt (+ (* -1 (+ (log (/ 2 (- (* -1 beta) (+ 2 beta)))) (* -1 (log (/ -1 alpha))))) (* -1 (/ (+ (* -1 (+ (/ (* beta (+ 2 beta)) (- (* -1 beta) (+ 2 beta))) (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* 1/2 (/ (+ (* -1 (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (- (* -1 beta) (+ 2 beta)))) (* -1 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha))) alpha)))>
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#<alt (* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))>
#<alt (* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))>
#<alt (* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt 1/2>
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#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
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#<alt 1>
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#<alt 2>
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#<alt (* 1/2 beta)>
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#<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>
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#<alt 1>
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#<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>
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#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* 1/2 (- 2 (* 2 (/ 1 beta))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* 1/2 (/ (- (* -2 alpha) 2) beta))>
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)>
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#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))>
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#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))>
#<alt 1>
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#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (* -2 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* -2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (/ (- (* -2 alpha) 2) beta)>
#<alt (/ (- (+ (* -2 alpha) (* 2 beta)) 2) beta)>
#<alt (/ (- (+ (* -2 alpha) (* 2 beta)) 2) beta)>
#<alt (/ (- (+ (* -2 alpha) (* 2 beta)) 2) beta)>
#<alt 2>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt 2>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 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)>
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#<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 -2>
#<alt (- (* -3 beta) 2)>
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#<alt (- (* beta (- (* -1 beta) 3)) 2)>
#<alt (* -1 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (* -1 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
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#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
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#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))>
#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))>
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#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
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#<alt (+ 1 beta)>
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#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 beta)>
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#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
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#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))>
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#<alt (/ (+ 1 beta) alpha)>
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#<alt (/ -2 alpha)>
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#<alt beta>
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#<alt beta>
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#<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>
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#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
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#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
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#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
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#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<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 (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
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#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (* -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (- (* -3 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* beta (- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))>
#<alt (- (* beta (- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))>
#<alt (* -1 (/ (pow beta 2) alpha))>
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#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))>
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#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt -4>
#<alt (- (* -6 beta) 4)>
#<alt (- (* beta (- (* -2 beta) 6)) 4)>
#<alt (- (* beta (- (* -2 beta) 6)) 4)>
#<alt (* -2 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<alt (* -2 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>

Calls

96 calls:

Time	Variable		Point	Expression
8.0ms	alpha	@	inf	(* (log (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))) -1)
5.0ms	beta	@	0	(+ 1 (+ beta (/ (* 1/2 (* (+ 2 beta) (+ (* beta -2) -2))) alpha)))
5.0ms	beta	@	0	(/ (+ (/ beta (+ 2 beta)) 1) 2)
4.0ms	beta	@	inf	(* (log (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))) -1)
4.0ms	alpha	@	0	(/ (+ 2 (/ (+ (* alpha -2) -2) beta)) 2)

rewrite490.0ms (5.2%)

Memory

-5.2MiB live, 678.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 190×	`-lowering-.f32`
5 190×	`-lowering-.f64`
4 428×	`/-lowering-/.f32`
4 428×	`/-lowering-/.f64`
1 994×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	212
1	245	209
2	2310	208
0	8624	188

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 602

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(log.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(-.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(-.f64 (log.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (log.f64 #s(literal -2 binary64)))
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) (log.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)))) (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 beta (.f64 beta beta))) #s(literal -8 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta)))) (neg.f64 (.f64 (+.f64 (.f64 beta (.f64 beta #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 beta (.f64 beta #s(literal 4 binary64))) #s(literal -4 binary64)) (+.f64 #s(literal 8 binary64) (.f64 beta (.f64 beta beta))))) (neg.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 beta (-.f64 beta #s(literal 2 binary64)))))))
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(.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 1 binary64))))
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(.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) #s(literal -2 binary64))

simplify633.0ms (6.7%)

Memory

21.3MiB live, 1 091.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 116×	`accelerator-lowering-fma.f32`
9 116×	`accelerator-lowering-fma.f64`
5 686×	`+-lowering-+.f64`
5 686×	`+-lowering-+.f32`
5 678×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1205	13554
1	3904	12876
0	8500	12218

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha)))))) (* beta (+ (/ 1 (* (+ 2 alpha) (- 1 (/ alpha (+ 2 alpha))))) (/ alpha (* (pow (+ 2 alpha) 2) (- 1 (/ alpha (+ 2 alpha))))))))
(+ (* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha)))))) (* beta (+ (* -1/2 (* beta (+ (* -1 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* -1 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (+ (/ 1 (* (+ 2 alpha) (- 1 (/ alpha (+ 2 alpha))))) (/ alpha (* (pow (+ 2 alpha) 2) (- 1 (/ alpha (+ 2 alpha)))))))))
(+ (* -1 (log (/ 2 (- 1 (/ alpha (+ 2 alpha)))))) (* beta (+ (* beta (+ (* -1/2 (+ (* -1 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* -1 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* -1/6 (* beta (+ (* -3 (* (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (- 1 (/ alpha (+ 2 alpha))))) (+ (* -3 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 3) (pow (- 1 (/ alpha (+ 2 alpha))) 3))))))))) (+ (/ 1 (* (+ 2 alpha) (- 1 (/ alpha (+ 2 alpha))))) (/ alpha (* (pow (+ 2 alpha) 2) (- 1 (/ alpha (+ 2 alpha)))))))))
(* -1/2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ (* -1/2 (+ 2 (* 2 alpha))) (* -1/2 (/ (+ (* -2 (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))))) (* -1/4 (pow (+ 2 (* 2 alpha)) 2))) beta))) beta)
(/ (+ (* -1/2 (+ 2 (* 2 alpha))) (+ (* -1/2 (/ (+ (* -2 (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))))) (* -1/4 (pow (+ 2 (* 2 alpha)) 2))) beta)) (* -1/6 (/ (+ (* -6 (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))) (+ (* 1/4 (pow (+ 2 (* 2 alpha)) 3)) (* 3 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))))) (pow beta 2))))) beta)
(/ (+ (* -1/2 (+ 2 (* 2 alpha))) (+ (* -1/2 (/ (+ (* -2 (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))))) (* -1/4 (pow (+ 2 (* 2 alpha)) 2))) beta)) (+ (* -1/6 (/ (+ (* -6 (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))) (+ (* 1/4 (pow (+ 2 (* 2 alpha)) 3)) (* 3 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))))) (pow beta 2))) (* -1/24 (/ (+ (* -24 (+ (* -1/2 (* (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))))) (* 1/2 (- (* alpha (pow (+ 2 alpha) 3)) (* -1 (pow (+ 2 alpha) 4)))))))) (+ (* -12 (pow (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) 2)) (+ (* -6 (* (pow (+ 2 (* 2 alpha)) 2) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -3/8 (pow (+ 2 (* 2 alpha)) 4)) (* 12 (* (+ 2 (* 2 alpha)) (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))))))))) (pow beta 3)))))) beta)
(* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (+ (* -2 (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) beta))) beta))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* 1/6 (/ (+ (* -6 (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 3)) (* 3 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha)))))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 3)) (* 3 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))))) (* 1/24 (/ (+ (* -24 (+ (* -1/2 (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (pow (+ 2 alpha) 2) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (+ (* 1/2 (* (+ 2 alpha) (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))))) (* 1/2 (* (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha)))))) (- (* -1 alpha) (+ 2 alpha)))))))) (+ (* -12 (pow (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) 2)) (+ (* -6 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (+ (* -3/8 (pow (- (* -1 alpha) (+ 2 alpha)) 4)) (* 12 (* (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/4 (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (* 1/2 (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha)))))) (- (* -1 alpha) (+ 2 alpha)))))))) beta))) beta)) (* -1/2 (+ (* -2 (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))
(* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta))))))
(+ (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta)))))) (* -1 (* alpha (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))))
(+ (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta)))))) (* alpha (+ (* -1 (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (* -1/2 (* alpha (+ (* -1 (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -1 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))))
(+ (* -1 (log (/ 2 (+ 1 (/ beta (+ 2 beta)))))) (* alpha (+ (* -1 (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (+ (* -1 (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -1 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* -1/6 (* alpha (+ (* -3 (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* 2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 3) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 3 (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))))))))))
(* -1 (+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha)))))
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1
(+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
1/2
(+ 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
(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
2
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
2
(- 2 (* 2 (/ 1 beta)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 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))))
(* 1/2 (- 2 (* 2 (/ 1 beta))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(* -1 (/ alpha beta))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 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 (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(* -2 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(/ (- (* -2 alpha) 2) beta)
(/ (- (+ (* -2 alpha) (* 2 beta)) 2) beta)
(/ (- (+ (* -2 alpha) (* 2 beta)) 2) beta)
(/ (- (+ (* -2 alpha) (* 2 beta)) 2) beta)
2
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
2
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 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)))))
-2
(- (* -3 beta) 2)
(- (* beta (- (* -1 beta) 3)) 2)
(- (* beta (- (* -1 beta) 3)) 2)
(* -1 (pow beta 2))
(* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(* -1 (pow beta 2))
(* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/ -2 alpha)
(- (* beta (- 1 (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(- (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(- (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (+ (/ 2 (* alpha (pow beta 2))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (+ (/ 2 (* alpha (pow beta 2))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) 1) beta)) (/ 1 alpha)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) alpha)
beta
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
beta
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) 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))
(* -2 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)
(- (* -3 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* beta (- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(- (* beta (- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
-4
(- (* -6 beta) 4)
(- (* beta (- (* -2 beta) 6)) 4)
(- (* beta (- (* -2 beta) 6)) 4)
(* -2 (pow beta 2))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(* -2 (pow beta 2))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))) beta) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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(/ 2 (+ 1 (/ beta (+ 2 beta))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+.f64 (/.f64 (.f64 (.f64 alpha #s(literal 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 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (.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 (/.f64 (.f64 (.f64 #s(literal -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 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 (.f64 #s(literal 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 (/.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 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal -2 binary64) (+.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 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal -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 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal 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 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(.f64 alpha (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (.f64 alpha alpha))) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(.f64 alpha (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 (.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (.f64 alpha (.f64 alpha alpha)))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (.f64 (.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(/.f64 (*.f64 alpha #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (+.f64 (/.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 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
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(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
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(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
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1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
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(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
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1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
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(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
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2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
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(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
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(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
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2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
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(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 (*.f64 beta #s(literal 1/8 binary64)) #s(literal -1/4 binary64)))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
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(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
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(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
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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 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
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(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
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(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta)))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))) (/.f64 alpha beta))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))) (/.f64 alpha beta))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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2
#s(literal 2 binary64)
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
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2
#s(literal 2 binary64)
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) alpha)
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) alpha)
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) alpha)
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) alpha)
-4
#s(literal -4 binary64)
(- (* -6 beta) 4)
(+.f64 (*.f64 beta #s(literal -6 binary64)) #s(literal -4 binary64))
(- (* beta (- (* -2 beta) 6)) 4)
(+.f64 (.f64 beta (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -6 binary64))) #s(literal -4 binary64))
(- (* beta (- (* -2 beta) 6)) 4)
(+.f64 (.f64 beta (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -6 binary64))) #s(literal -4 binary64))
(* -2 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal -2 binary64))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(.f64 (.f64 beta beta) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) beta))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -2 binary64)))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -2 binary64)))
(* -2 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal -2 binary64))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(.f64 (.f64 beta beta) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) beta))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -2 binary64)))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -2 binary64)))

eval213.0ms (2.3%)

Memory: 19.3MiB live, 366.3MiB allocated
Compiler: Compiled 37 198 to 4 039 computations (89.1% saved)

prune144.0ms (1.5%)

Memory

-25.2MiB live, 352.5MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 012	8	1 020
Fresh	2	7	9
Picked	3	2	5
Done	0	1	1
Total	1 017	18	1 035

Accuracy

100.0%

Counts

1 035 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
	71.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	71.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	41.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	69.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	44.0%	(/.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.1%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))))) alpha)
	32.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)))) alpha)
▶	14.7%	(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) (.f64 alpha (+.f64 #s(literal 1 binary64) beta))) (*.f64 alpha alpha))
	34.8%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)) #s(literal 2 binary64))
	24.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
▶	32.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	31.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	40.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	38.1%	(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) #s(literal -1 binary64)))
▶	78.0%	(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal -1 binary64)))
✓	38.5%	#s(literal 1 binary64)
▶	44.2%	#s(literal 1/2 binary64)

Compiler

Compiled 607 to 383 computations (36.9% saved)

simplify336.0ms (3.6%)

Memory

0.9MiB live, 589.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) (.f64 alpha (+.f64 #s(literal 1 binary64) beta))) (*.f64 alpha alpha))
✓	cost-diff	256	(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64)))
✓	cost-diff	256	(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) (.f64 alpha (+.f64 #s(literal 1 binary64) beta)))
✓	cost-diff	0	(-.f64 #s(literal -2 binary64) alpha)
✓	cost-diff	0	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	cost-diff	0	(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	cost-diff	256	(.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
✓	cost-diff	256	(.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))
✓	cost-diff	640	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
✓	cost-diff	12800	(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal -1 binary64)))

Rules

9 492×	`accelerator-lowering-fma.f32`
9 492×	`accelerator-lowering-fma.f64`
2 986×	`+-lowering-+.f64`
2 986×	`+-lowering-+.f32`
2 914×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	425
1	111	424
2	377	378
3	1751	256
4	7608	256
0	8386	243

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (* (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))) -1))
(* (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))) -1)
(log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta))))))
(* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))
alpha
(+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta))))
(* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))))
-2
(/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))
(- 0 (* (+ 2 beta) (+ beta (+ 2 beta))))
0
(* (+ 2 beta) (+ beta (+ 2 beta)))
(+ 2 beta)
2
beta
(+ beta (+ 2 beta))
(* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))
(* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))
(+ 2 (* 2 beta))
(* 2 beta)
(/ 2 (+ 2 (* 2 beta)))
-1
1/2
(/ (+ 1 beta) alpha)
(+ 1 beta)
1
beta
alpha
(/ (+ (/ alpha (- -2 alpha)) 1) 2)
(+ (/ alpha (- -2 alpha)) 1)
(/ alpha (- -2 alpha))
alpha
(- -2 alpha)
-2
1
2
(/ (+ (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2)) (* alpha (+ 1 beta))) (* alpha alpha))
(+ (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2)) (* alpha (+ 1 beta)))
(* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2))
(* 1/2 (+ 2 beta))
1/2
(+ 2 beta)
2
beta
(* (+ 1 beta) -2)
(+ 1 beta)
1
-2
(* alpha (+ 1 beta))
alpha
(* alpha alpha)

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

localize200.0ms (2.1%)

Memory

17.8MiB live, 447.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 alpha (+.f64 #s(literal 1 binary64) beta))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64)))
✓	accuracy	95.0%	(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) (.f64 alpha (+.f64 #s(literal 1 binary64) beta)))
✓	accuracy	78.7%	(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))) (.f64 alpha (+.f64 #s(literal 1 binary64) beta))) (*.f64 alpha alpha))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) alpha)
✓	accuracy	100.0%	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	accuracy	63.8%	(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	97.2%	(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal -1 binary64)))
✓	accuracy	95.2%	(.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
✓	accuracy	77.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
✓	accuracy	72.2%	(log.f64 (.f64 alpha (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))

Samples

53.0ms	95×	1	valid
48.0ms	59×	2	valid
27.0ms	102×	0	valid

Compiler

Compiled 437 to 39 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 31.0ms (33.5% of total)

ival-div: 16.0ms (17.3% of total)

ival-add: 14.0ms (15.1% of total)

ival-log: 12.0ms (13% of total)

adjust: 9.0ms (9.7% of total)

ival-exp: 6.0ms (6.5% of total)

ival-sub: 4.0ms (4.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series41.0ms (0.4%)

Memory

10.8MiB live, 69.3MiB allocated

Counts

17 → 324

Calls

Call 1

Inputs
#<alt (exp (* (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))) -1))>
#<alt (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))>
#<alt (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))>
#<alt (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (+ 1 beta)>
#<alt (/ (+ (/ alpha (- -2 alpha)) 1) 2)>
#<alt (+ (/ alpha (- -2 alpha)) 1)>
#<alt (/ alpha (- -2 alpha))>
#<alt (- -2 alpha)>
#<alt (+ (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2)) (* alpha (+ 1 beta)))>
#<alt (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2))>
#<alt (/ (+ (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2)) (* alpha (+ 1 beta))) (* alpha alpha))>
#<alt (* 1/2 (+ 2 beta))>
#<alt (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta))))))>
#<alt (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))>
#<alt (* alpha (+ 1 beta))>

Outputs
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta)))>
#<alt (+ (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* 1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 4))) (* -1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 3))))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)>
#<alt (/ (- (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (* 1/2 (+ 2 (* 2 beta)))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))>
#<alt (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))>
#<alt (/ -1 alpha)>
#<alt (- (* 1/2 (/ beta alpha)) (/ 1 alpha))>
#<alt (- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))>
#<alt (- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))>
#<alt (/ -1/2 alpha)>
#<alt (* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))>
#<alt (- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))>
#<alt (- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))>
#<alt (/ -1/2 alpha)>
#<alt (* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))>
#<alt (/ 2 alpha)>
#<alt (+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (+ (* beta (- (/ beta alpha) (/ 1 alpha))) (* 2 (/ 1 alpha)))>
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta alpha)) (/ 1 alpha))) (/ 1 alpha))) (* 2 (/ 1 alpha)))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ 1 (* alpha beta)))>
#<alt (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 1 (* alpha (pow beta 2))))>
#<alt (- (+ (/ 1 alpha) (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 3))))) (/ 1 (* alpha (pow beta 2))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ 1 (* alpha beta)))>
#<alt (+ (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) beta)) (/ 1 alpha))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 (* -1/2 alpha))>
#<alt (+ 1 (* alpha (- (* 1/4 alpha) 1/2)))>
#<alt (+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1/2 alpha)>
#<alt (* alpha (- (* 1/4 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 (- alpha 2)>
#<alt (- (+ alpha (* beta (- alpha 3))) 2)>
#<alt (- (+ alpha (* beta (- (+ alpha (* -1 beta)) 3))) 2)>
#<alt (- (+ alpha (* beta (- (+ alpha (* -1 beta)) 3))) 2)>
#<alt (* -1 (pow beta 2))>
#<alt (* (pow beta 2) (- (/ alpha beta) (+ 1 (* 3 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (+ (/ alpha beta) (/ alpha (pow beta 2))) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))>
#<alt (* (pow beta 2) (- (+ (/ alpha beta) (/ alpha (pow beta 2))) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))>
#<alt (* -1 (pow beta 2))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* -1 alpha)) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* -1 (/ (- alpha 2) beta)))) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* -1 (/ (- alpha 2) beta)))) beta)) 1))>
#<alt (* -1 (* (+ 1 beta) (+ 2 beta)))>
#<alt (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta)))>
#<alt (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta)))>
#<alt (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta)))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))))>
#<alt (* alpha (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))))>
#<alt (* alpha (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))))>
#<alt (* alpha (+ 1 beta))>
#<alt (* -1 (* alpha (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* -1 (* alpha (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* -1 (* alpha (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt -2>
#<alt (- (* -3 beta) 2)>
#<alt (- (* beta (- (* -1 beta) 3)) 2)>
#<alt (- (* beta (- (* -1 beta) 3)) 2)>
#<alt (* -1 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (* -1 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))>
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* 1/2 beta))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (/ 1 beta)))>
#<alt (* beta (+ 1/2 (/ 1 beta)))>
#<alt (* beta (+ 1/2 (/ 1 beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (/ 1 beta)))>
#<alt (* beta (+ 1/2 (/ 1 beta)))>
#<alt (* beta (+ 1/2 (/ 1 beta)))>
#<alt (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) (/ alpha (+ 2 beta)))>
#<alt (+ (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))>
#<alt (+ (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) (* alpha (+ (* alpha (- (* 1/3 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))))>
#<alt (+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha))))>
#<alt (+ (log (/ 2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ 1 alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (+ (log (/ 2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ 1 alpha))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))>
#<alt (+ (log (/ 2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ 1 alpha))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 1/3 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))))>
#<alt (+ (log (/ -2 (+ 2 (* 2 beta)))) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log (/ -2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ -1 alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (+ (log (/ -2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ -1 alpha))) (* -1 (/ (+ (* -1 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (+ (log (/ -2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ -1 alpha))) (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1/2 (pow (+ 2 beta) 2)) (* 1/3 (/ (pow (+ 2 beta) 3) alpha))) alpha))) alpha))))>
#<alt (log (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (log (* alpha (+ 1 (* 2 (/ 1 alpha))))) (* -1 (/ (* beta (+ 1 (/ 1 alpha))) (+ 1 (* 2 (/ 1 alpha))))))>
#<alt (+ (log (* alpha (+ 1 (* 2 (/ 1 alpha))))) (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))) (* 1/2 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (* 2 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha)))))))))))>
#<alt (+ (log (* alpha (+ 1 (* 2 (/ 1 alpha))))) (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))) (* beta (+ (* 1/6 (* beta (+ (* -6 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))) (+ (* -2 (/ (pow (+ 1 (/ 1 alpha)) 3) (pow (+ 1 (* 2 (/ 1 alpha))) 3))) (* 6 (/ (pow (+ 1 (/ 1 alpha)) 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (* 2 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))))))))))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) beta)>
#<alt (/ (+ (* 1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta)) (* alpha (+ 1 (/ 1 alpha)))) beta)>
#<alt (/ (+ (* 1/6 (/ (+ (* 2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* 6 (* alpha (+ 1 (/ 1 alpha)))) (* 6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) (pow beta 2))) (+ (* 1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta)) (* alpha (+ 1 (/ 1 alpha))))) beta)>
#<alt (/ (+ (* 1/24 (/ (+ (* -24 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -24 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (+ (* -24 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* -12 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -6 (* (pow alpha 4) (pow (+ 1 (/ 1 alpha)) 4))))))) (pow beta 3))) (+ (* 1/6 (/ (+ (* 2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* 6 (* alpha (+ 1 (/ 1 alpha)))) (* 6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) (pow beta 2))) (+ (* 1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta)) (* alpha (+ 1 (/ 1 alpha)))))) beta)>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) beta)>
#<alt (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))))) beta)) (* 1/2 (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -24 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (+ (* -24 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* -12 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -6 (* (pow alpha 4) (pow (+ 1 (/ 1 alpha)) 4))))))) beta)) (* 1/6 (+ (* -6 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))))))) beta)) (* 1/2 (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) beta))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* 4 alpha)>
#<alt (+ (* 4 alpha) (* 8 (* alpha beta)))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 beta))>
#<alt alpha>
#<alt (+ alpha (* alpha beta))>
#<alt (+ alpha (* alpha beta))>
#<alt (+ alpha (* alpha beta))>
#<alt (* alpha beta)>
#<alt (* beta (+ alpha (/ alpha beta)))>
#<alt (* beta (+ alpha (/ alpha beta)))>
#<alt (* beta (+ alpha (/ alpha beta)))>
#<alt (* alpha beta)>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))>

Calls

81 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	0	(* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))))
6.0ms	alpha	@	0	(exp (* (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))) -1))
1.0ms	beta	@	0	(exp (* (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))) -1))
1.0ms	beta	@	inf	(log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta))))))
1.0ms	alpha	@	0	(/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))

rewrite558.0ms (5.9%)

Memory

-15.5MiB live, 566.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 286×	`-lowering-.f32`
5 286×	`-lowering-.f64`
4 314×	`/-lowering-/.f32`
4 314×	`/-lowering-/.f64`
3 078×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	241
1	255	241
2	2467	241
0	8717	217

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 371

Calls

Call 1

Inputs
(exp (* (log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))) -1))
(/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))
(* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta)))))
(* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))))
(/ (+ 1 beta) alpha)
(+ 1 beta)
(/ (+ (/ alpha (- -2 alpha)) 1) 2)
(+ (/ alpha (- -2 alpha)) 1)
(/ alpha (- -2 alpha))
(- -2 alpha)
(+ (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2)) (* alpha (+ 1 beta)))
(* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2))
(/ (+ (* (* 1/2 (+ 2 beta)) (* (+ 1 beta) -2)) (* alpha (+ 1 beta))) (* alpha alpha))
(* 1/2 (+ 2 beta))
(log (* alpha (+ (* -2 (/ (- 0 (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))) (/ 2 (+ 2 (* 2 beta))))))
(* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))
(* alpha (+ 1 beta))

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

simplify588.0ms (6.2%)

Memory

16.3MiB live, 635.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 290×	`accelerator-lowering-fma.f32`
8 290×	`accelerator-lowering-fma.f64`
5 098×	`-lowering-.f32`
5 098×	`-lowering-.f64`
4 072×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	697	5121
1	2172	4344
2	7059	4289
0	8060	4032

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta)))
(+ (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* 1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 4))) (* -1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 3))))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (- (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (* 1/2 (+ 2 (* 2 beta)))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
1
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))
1
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(/ -1 alpha)
(- (* 1/2 (/ beta alpha)) (/ 1 alpha))
(- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(/ -1/2 alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))
(- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))
(/ -1/2 alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(/ 2 alpha)
(+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(+ (* beta (- (/ beta alpha) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta alpha)) (/ 1 alpha))) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(/ 1 alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 1 (* alpha (pow beta 2))))
(- (+ (/ 1 alpha) (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 3))))) (/ 1 (* alpha (pow beta 2))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(+ (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha))
(+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) beta)) (/ 1 alpha))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(* -1/2 alpha)
(* alpha (- (* 1/4 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)))))
(- alpha 2)
(- (+ alpha (* beta (- alpha 3))) 2)
(- (+ alpha (* beta (- (+ alpha (* -1 beta)) 3))) 2)
(- (+ alpha (* beta (- (+ alpha (* -1 beta)) 3))) 2)
(* -1 (pow beta 2))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (+ (/ alpha beta) (/ alpha (pow beta 2))) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* (pow beta 2) (- (+ (/ alpha beta) (/ alpha (pow beta 2))) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* -1 (pow beta 2))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* -1 alpha)) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* -1 (/ (- alpha 2) beta)))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* -1 (/ (- alpha 2) beta)))) beta)) 1))
(* -1 (* (+ 1 beta) (+ 2 beta)))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta)))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta)))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta)))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))))
(* alpha (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))))
(* alpha (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))))
(* alpha (+ 1 beta))
(* -1 (* alpha (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* -1 (* alpha (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* -1 (* alpha (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
-2
(- (* -3 beta) 2)
(- (* beta (- (* -1 beta) 3)) 2)
(- (* beta (- (* -1 beta) 3)) 2)
(* -1 (pow beta 2))
(* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(* -1 (pow beta 2))
(* -1 (* (pow beta 2) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* 2 (/ 1 beta))) beta)) 1))
(/ (- alpha 2) (pow alpha 2))
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
1
(+ 1 (* 1/2 beta))
(+ 1 (* 1/2 beta))
(+ 1 (* 1/2 beta))
(* 1/2 beta)
(* beta (+ 1/2 (/ 1 beta)))
(* beta (+ 1/2 (/ 1 beta)))
(* beta (+ 1/2 (/ 1 beta)))
(* 1/2 beta)
(* beta (+ 1/2 (/ 1 beta)))
(* beta (+ 1/2 (/ 1 beta)))
(* beta (+ 1/2 (/ 1 beta)))
(log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) (/ alpha (+ 2 beta)))
(+ (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))
(+ (log (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) (* alpha (+ (* alpha (- (* 1/3 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))))
(+ (log (/ 2 (+ 2 (* 2 beta)))) (* -1 (log (/ 1 alpha))))
(+ (log (/ 2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ 1 alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+ (log (/ 2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ 1 alpha))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(+ (log (/ 2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ 1 alpha))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 1/3 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))))
(+ (log (/ -2 (+ 2 (* 2 beta)))) (* -1 (log (/ -1 alpha))))
(+ (log (/ -2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ -1 alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+ (log (/ -2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ -1 alpha))) (* -1 (/ (+ (* -1 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(+ (log (/ -2 (+ 2 (* 2 beta)))) (+ (* -1 (log (/ -1 alpha))) (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (/ (+ (* -1/2 (pow (+ 2 beta) 2)) (* 1/3 (/ (pow (+ 2 beta) 3) alpha))) alpha))) alpha))))
(log (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (log (* alpha (+ 1 (* 2 (/ 1 alpha))))) (* -1 (/ (* beta (+ 1 (/ 1 alpha))) (+ 1 (* 2 (/ 1 alpha))))))
(+ (log (* alpha (+ 1 (* 2 (/ 1 alpha))))) (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))) (* 1/2 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (* 2 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha)))))))))))
(+ (log (* alpha (+ 1 (* 2 (/ 1 alpha))))) (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))) (* beta (+ (* 1/6 (* beta (+ (* -6 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))) (+ (* -2 (/ (pow (+ 1 (/ 1 alpha)) 3) (pow (+ 1 (* 2 (/ 1 alpha))) 3))) (* 6 (/ (pow (+ 1 (/ 1 alpha)) 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (* 2 (/ (+ 1 (/ 1 alpha)) (+ 1 (* 2 (/ 1 alpha))))))))))))
(/ (* alpha (+ 1 (/ 1 alpha))) beta)
(/ (+ (* 1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta)) (* alpha (+ 1 (/ 1 alpha)))) beta)
(/ (+ (* 1/6 (/ (+ (* 2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* 6 (* alpha (+ 1 (/ 1 alpha)))) (* 6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) (pow beta 2))) (+ (* 1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta)) (* alpha (+ 1 (/ 1 alpha))))) beta)
(/ (+ (* 1/24 (/ (+ (* -24 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -24 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (+ (* -24 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* -12 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -6 (* (pow alpha 4) (pow (+ 1 (/ 1 alpha)) 4))))))) (pow beta 3))) (+ (* 1/6 (/ (+ (* 2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* 6 (* alpha (+ 1 (/ 1 alpha)))) (* 6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) (pow beta 2))) (+ (* 1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta)) (* alpha (+ 1 (/ 1 alpha)))))) beta)
(/ (* alpha (+ 1 (/ 1 alpha))) beta)
(* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1/2 (/ (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) beta))) beta))
(* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))))) beta)) (* 1/2 (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) beta))
(* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -24 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (+ (* -24 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* -12 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -6 (* (pow alpha 4) (pow (+ 1 (/ 1 alpha)) 4))))))) beta)) (* 1/6 (+ (* -6 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))))))) beta)) (* 1/2 (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) beta))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* 4 alpha)
(+ (* 4 alpha) (* 8 (* alpha beta)))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
(* alpha (+ 1 beta))
alpha
(+ alpha (* alpha beta))
(+ alpha (* alpha beta))
(+ alpha (* alpha beta))
(* alpha beta)
(* beta (+ alpha (/ alpha beta)))
(* beta (+ alpha (/ alpha beta)))
(* beta (+ alpha (/ alpha beta)))
(* alpha beta)
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))

Outputs
(* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
(+ (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))))
(+.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* 1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))
(+.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (+.f64 (/.f64 (.f64 alpha (+.f64 beta #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 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 4))) (* -1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 3))))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))
(+.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)
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(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)))) beta)) (+.f64 alpha #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))))) beta)) (* 1/2 (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) beta))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)))) (.f64 #s(literal -6 binary64) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))))))) beta) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)))) (+.f64 alpha #s(literal 1 binary64)))) beta))) beta)
(* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -24 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (+ (* -24 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))) (+ (* -12 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -6 (* (pow alpha 4) (pow (+ 1 (/ 1 alpha)) 4))))))) beta)) (* 1/6 (+ (* -6 (* alpha (+ 1 (/ 1 alpha)))) (+ (* -6 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))) (* -2 (* (pow alpha 3) (pow (+ 1 (/ 1 alpha)) 3))))))) beta)) (* 1/2 (+ (* -2 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) beta))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)))) (+.f64 alpha #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) #s(literal -12 binary64)) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 4 binary64)) (.f64 #s(literal -6 binary64) (pow.f64 alpha #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 alpha (.f64 alpha alpha)))) #s(literal -24 binary64)))) (.f64 #s(literal -24 binary64) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)))))) #s(literal -1/24 binary64)) beta) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)))) (.f64 #s(literal -6 binary64) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)))))))) beta)) beta))) beta)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* 4 alpha)
(*.f64 alpha #s(literal 4 binary64))
(+ (* 4 alpha) (* 8 (* alpha beta)))
(+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 beta (*.f64 alpha #s(literal 8 binary64))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 beta (+.f64 (.f64 beta (.f64 alpha #s(literal 4 binary64))) (*.f64 alpha #s(literal 8 binary64)))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 beta (+.f64 (.f64 beta (.f64 alpha #s(literal 4 binary64))) (*.f64 alpha #s(literal 8 binary64)))))
(* 4 (* alpha (pow beta 2)))
(.f64 beta (.f64 beta (*.f64 alpha #s(literal 4 binary64))))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(.f64 (.f64 beta beta) (+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 #s(literal 8 binary64) (/.f64 alpha beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 alpha beta)) (.f64 #s(literal 4 binary64) (+.f64 alpha (/.f64 alpha (*.f64 beta beta))))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 alpha beta)) (.f64 #s(literal 4 binary64) (+.f64 alpha (/.f64 alpha (*.f64 beta beta))))))
(* 4 (* alpha (pow beta 2)))
(.f64 beta (.f64 beta (*.f64 alpha #s(literal 4 binary64))))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(.f64 (.f64 beta beta) (+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 #s(literal 8 binary64) (/.f64 alpha beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(.f64 (.f64 beta beta) (-.f64 (.f64 alpha #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 alpha #s(literal -8 binary64)) (*.f64 (/.f64 alpha beta) #s(literal -4 binary64))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(.f64 (.f64 beta beta) (-.f64 (.f64 alpha #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 alpha #s(literal -8 binary64)) (*.f64 (/.f64 alpha beta) #s(literal -4 binary64))) beta)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ 1 beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
alpha
(+ alpha (* alpha beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(+ alpha (* alpha beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(+ alpha (* alpha beta))
(*.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha beta)
(*.f64 beta alpha)
(* beta (+ alpha (/ alpha beta)))
(*.f64 beta (+.f64 alpha (/.f64 alpha beta)))
(* beta (+ alpha (/ alpha beta)))
(*.f64 beta (+.f64 alpha (/.f64 alpha beta)))
(* beta (+ alpha (/ alpha beta)))
(*.f64 beta (+.f64 alpha (/.f64 alpha beta)))
(* alpha beta)
(*.f64 beta alpha)
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) alpha)))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) alpha)))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta)))))
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) alpha)))

eval168.0ms (1.8%)

Memory: -29.1MiB live, 135.3MiB allocated
Compiler: Compiled 22 379 to 2 728 computations (87.8% saved)

prune105.0ms (1.1%)

Memory

14.2MiB live, 173.8MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	747	8	755
Fresh	7	3	10
Picked	3	2	5
Done	0	3	3
Total	757	16	773

Accuracy

100.0%

Counts

773 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	41.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	69.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	69.6%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
✓	32.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	10.9%	(/.f64 beta alpha)
	65.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
▶	26.1%	(/.f64 #s(literal 1 binary64) alpha)
	31.6%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
▶	31.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	40.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
▶	41.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
▶	32.9%	(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
	38.1%	(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))) #s(literal -1 binary64)))
✓	38.5%	#s(literal 1 binary64)
✓	44.2%	#s(literal 1/2 binary64)

Compiler

Compiled 221 to 167 computations (24.4% saved)

simplify8.0ms (0.1%)

Memory

-21.1MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
26×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	32	57
2	49	57
3	60	57
4	66	57
5	77	57
6	90	57
0	90	56

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize51.0ms (0.5%)

Memory

17.9MiB live, 133.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 alpha #s(literal -1/4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))

Samples

27.0ms

256×

valid

Compiler

Compiled 61 to 18 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (36.2% of total)

ival-add: 5.0ms (36.2% of total)

ival-mult: 3.0ms (21.7% of total)

exact: 1.0ms (7.2% of total)

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

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

series3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

9 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	-inf	(* alpha -1/4)
0.0ms	beta	@	0	(/ -1 beta)
0.0ms	alpha	@	inf	(* alpha -1/4)
0.0ms	alpha	@	-inf	(/ 1 alpha)
0.0ms	alpha	@	inf	(+ 1/2 (* alpha -1/4))

rewrite334.0ms (3.5%)

Memory

-19.3MiB live, 575.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 308×	`-lowering-.f32`
4 308×	`-lowering-.f64`
4 128×	`/-lowering-/.f32`
4 128×	`/-lowering-/.f64`
3 572×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	101	37
2	757	37
0	8651	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 675

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) #s(literal 4 binary64)) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 0 binary64) beta)))
(+.f64 (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 4 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)))) (.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (*.f64 beta beta)) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (*.f64 beta beta)) #s(literal 8 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta)))) (.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)))
(-.f64 (/.f64 (*.f64 beta (/.f64 beta (+.f64 beta #s(literal -1 binary64)))) (+.f64 beta #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) (+.f64 beta #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)))
(-.f64 (/.f64 (.f64 beta beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal -1 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)))))
(fma.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)))))
(fma.f64 (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (-.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 (.f64 beta beta) (+.f64 #s(literal 4 binary64) (.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 (.f64 beta beta) (+.f64 #s(literal 4 binary64) (.f64 beta #s(literal -2 binary64)))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64))))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64))))) #s(literal -1 binary64)) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(fma.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (.f64 beta (+.f64 beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) #s(literal 2 binary64) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 0 binary64) beta)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))))) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (+.f64 #s(literal -2 binary64) beta) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (+.f64 #s(literal -2 binary64) beta) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta)))))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 beta (.f64 beta beta)) (-.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta)))))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 beta (.f64 beta beta)) (-.f64 (.f64 beta (.f64 beta beta)) #s(literal 8 binary64)))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta))))) (-.f64 #s(literal 8 binary64) (.f64 beta (.f64 beta beta))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 beta (+.f64 beta #s(literal -2 binary64)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta))))) (-.f64 #s(literal 8 binary64) (.f64 beta (.f64 beta beta))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)) #s(literal -8 binary64))) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)) #s(literal -8 binary64))) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 beta (+.f64 beta #s(literal -2 binary64))))) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 beta beta))) (+.f64 #s(literal -2 binary64) beta) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 beta beta))) (+.f64 #s(literal -2 binary64) beta) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 64 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 beta beta) (+.f64 (.f64 beta beta) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 64 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 beta beta) (+.f64 (.f64 beta beta) #s(literal 4 binary64)))) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 16 binary64) (.f64 beta (.f64 beta (.f64 beta beta))))) (+.f64 #s(literal 4 binary64) (.f64 beta beta)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 16 binary64) (.f64 beta (.f64 beta (.f64 beta beta))))) (+.f64 #s(literal 4 binary64) (.f64 beta beta)) (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 beta beta) #s(literal -1 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 beta #s(literal -1 binary64)))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 beta #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64)) (.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal -1 binary64)))) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 beta #s(literal -1 binary64)) (-.f64 #s(literal -2 binary64) beta)))
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(/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64)) (.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 beta #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (.f64 alpha (-.f64 #s(literal 0 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 beta #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 beta #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) (*.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 alpha (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha)) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha) (+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal -1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 beta beta) #s(literal -1 binary64)) alpha) (+.f64 beta #s(literal -1 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)) (.f64 alpha (-.f64 #s(literal 0 binary64) beta))) (*.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (+.f64 alpha (.f64 alpha beta)) (.f64 alpha alpha))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) (.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) (.f64 (-.f64 #s(literal 0 binary64) alpha) alpha))
(/.f64 (+.f64 alpha (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) beta))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (+.f64 (.f64 beta alpha) alpha) (.f64 alpha alpha))
(/.f64 (+.f64 (.f64 beta (-.f64 #s(literal 0 binary64) alpha)) (-.f64 #s(literal 0 binary64) alpha)) (.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)) alpha) (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) beta) alpha) (-.f64 #s(literal 0 binary64) alpha)) (.f64 (-.f64 #s(literal 0 binary64) alpha) alpha))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) alpha))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)) alpha))
(/.f64 (.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)))) (.f64 alpha (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 beta #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))) (.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (*.f64 alpha (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (neg.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 beta #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 beta #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha))))) (neg.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha))) (neg.f64 (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 beta beta) #s(literal -1 binary64)) alpha)) (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 beta (.f64 alpha alpha)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (*.f64 alpha alpha))) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 beta #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha))))) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha))) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)) alpha)
(pow.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) alpha)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 beta #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) alpha))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) alpha)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) (/.f64 #s(literal 1 binary64) alpha)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) alpha))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) alpha))
(.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 beta #s(literal -1 binary64)))))
(.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) alpha)))
(.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 beta #s(literal -1 binary64))))))
(.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha))))
(.f64 (.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 beta #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))))
(.f64 (+.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 beta #s(literal -1 binary64))))))
(.f64 (+.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))))
(.f64 (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal -1 binary64)) alpha)))
(.f64 (pow.f64 alpha #s(literal -1/2 binary64)) (.f64 (pow.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) alpha) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (pow.f64 alpha #s(literal -1/2 binary64))) (pow.f64 alpha #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha) (+.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 beta (.f64 beta beta))) (.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) beta))))) (+.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 (-.f64 #s(literal 1 binary64) beta) (*.f64 beta beta)))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))) alpha) (-.f64 (.f64 beta (.f64 beta (.f64 beta beta))) (.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) beta)))) (+.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) beta))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) alpha) (+.f64 (*.f64 beta beta) #s(literal -1 binary64))) (+.f64 beta #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 beta beta) #s(literal -1 binary64)) alpha) (+.f64 (.f64 beta (.f64 beta beta)) #s(literal -1 binary64))) (+.f64 (*.f64 beta (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))

simplify259.0ms (2.7%)

Memory

23.1MiB live, 575.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 408×	`accelerator-lowering-fma.f32`
5 408×	`accelerator-lowering-fma.f64`
2 812×	`-lowering-.f32`
2 812×	`-lowering-.f64`
1 566×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	480
1	204	480
2	402	472
3	957	468
4	2292	468
5	4352	468
6	6222	468
0	8066	453

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval108.0ms (1.1%)

Memory: 14.2MiB live, 323.1MiB allocated
Compiler: Compiled 16 015 to 1 742 computations (89.1% saved)

prune163.0ms (1.7%)

Memory

-28.4MiB live, 348.0MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	913	1	914
Fresh	0	6	6
Picked	1	4	5
Done	0	5	5
Total	914	16	930

Accuracy

100.0%

Counts

930 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	41.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	69.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	69.6%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
✓	32.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	10.9%	(/.f64 beta alpha)
	65.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
✓	26.1%	(/.f64 #s(literal 1 binary64) alpha)
	31.6%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
✓	31.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	40.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓	41.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
	10.8%	(*.f64 (/.f64 #s(literal 1 binary64) alpha) beta)
	38.1%	(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))) #s(literal -1 binary64)))
✓	38.5%	#s(literal 1 binary64)
✓	44.2%	#s(literal 1/2 binary64)

Compiler

Compiled 530 to 245 computations (53.8% saved)

regimes47.0ms (0.5%)

Memory

24.0MiB live, 140.0MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.1%	2	`alpha`
98.8%	3	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

-0.6MiB live, 41.9MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	beta
7.0ms	alpha

Results

Accuracy	Segments	Branch
91.1%	2	`alpha`
91.6%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-16.6MiB live, 22.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
91.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-6.9MiB live, 32.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	alpha
4.0ms	beta

Results

Accuracy	Segments	Branch
72.8%	2	`alpha`
90.5%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
90.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-14.4MiB live, 25.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
65.0%	2	`alpha`
68.3%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
68.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
68.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

1.0ms	alpha
1.0ms	beta

Results

Accuracy	Segments	Branch
44.2%	1	`alpha`
44.2%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999995682588	-0.9999997539986586

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch16.0ms (0.2%)

Memory

-24.4MiB live, 30.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.003262842637921959	0.02107596864833581

Samples

8.0ms	70×	0	valid
2.0ms	16×	1	valid
2.0ms	10×	2	valid

Compiler

Compiled 138 to 111 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (41.6% of total)

ival-add: 2.0ms (41.6% of total)

adjust: 1.0ms (20.8% of total)

ival-sub: 1.0ms (20.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-4.0MiB live, 34.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.003262842637921959	0.02107596864833581

Samples

4.0ms	61×	0	valid
2.0ms	22×	1	valid
2.0ms	13×	2	valid

Compiler

Compiled 126 to 105 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.3% of total)

ival-add: 2.0ms (38.3% of total)

adjust: 1.0ms (19.1% of total)

ival-sub: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Memory

7.3MiB live, 45.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	308562059.714404	31476072057386956.0

Samples

5.0ms	48×	1	valid
5.0ms	23×	2	valid
4.0ms	73×	0	valid

Compiler

Compiled 180 to 141 computations (21.7% saved)

Precisions

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

ival-add: 4.0ms (39.6% of total)

ival-div: 3.0ms (29.7% of total)

adjust: 1.0ms (9.9% of total)

ival-sub: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

8.5MiB live, 47.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	308562059.714404	31476072057386956.0

Samples

5.0ms	25×	2	valid
5.0ms	90×	0	valid
3.0ms	29×	1	valid

Compiler

Compiled 162 to 141 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (43.8% of total)

ival-div: 3.0ms (32.9% of total)

adjust: 1.0ms (11% of total)

ival-sub: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

-12.6MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.24868104936980906	1.7202996344989512

Samples

5.0ms	54×	0	valid
3.0ms	28×	1	valid
2.0ms	14×	2	valid

Compiler

Compiled 114 to 99 computations (13.2% saved)

Precisions

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

ival-add: 4.0ms (52.2% of total)

ival-div: 2.0ms (26.1% of total)

adjust: 1.0ms (13.1% of total)

ival-sub: 1.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-15.7MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7202996344989512	7.543238194646903

Samples

4.0ms	61×	0	valid
3.0ms	24×	1	valid
2.0ms	11×	2	valid

Compiler

Compiled 90 to 81 computations (10% saved)

Precisions

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

ival-add: 3.0ms (46.5% of total)

ival-div: 2.0ms (31% of total)

adjust: 1.0ms (15.5% of total)

ival-sub: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.7202996344989512	7.543238194646903

Samples

3.0ms	63×	0	valid
2.0ms	20×	1	valid
2.0ms	13×	2	valid

Compiler

Compiled 66 to 63 computations (4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.7% of total)

ival-add: 2.0ms (38.7% of total)

adjust: 1.0ms (19.3% of total)

ival-sub: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-17.7MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	125
1	65	125
2	75	125
3	86	125
4	96	125
5	104	125

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 3804640965202595/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 3804640965202595/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))
(if (<=.f64 beta #s(literal 320000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(if (<=.f64 beta #s(literal 320000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 3804640965202595/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 3804640965202595/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 3804640965202595/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))
(if (<=.f64 beta #s(literal 3804640965202595/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 320000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(if (<=.f64 beta #s(literal 320000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
(if (<=.f64 beta #s(literal 320000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 320000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness765.0ms (8.1%)

Memory

21.4MiB live, 692.9MiB allocated

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
9 116×	`accelerator-lowering-fma.f32`
9 116×	`accelerator-lowering-fma.f64`
8 290×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	1205	13554
1	3904	12876
0	8500	12218
0	10	44
1	85	44
2	742	44
0	9043	43
0	697	5121
1	2172	4344
2	7059	4289
0	8060	4032

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

Compiler

Compiled 423 to 276 computations (34.8% saved)

preprocess62.0ms (0.7%)

Memory: 2.9MiB live, 120.3MiB allocated
Compiler: Compiled 284 to 112 computations (60.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.2s (12.5%)

preprocess529.0ms (5.6%)

explain129.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify150.0ms (1.6%)

localize68.0ms (0.7%)

series37.0ms (0.4%)

rewrite388.0ms (4.1%)

simplify487.0ms (5.2%)

eval80.0ms (0.8%)

prune94.0ms (1%)

simplify570.0ms (6%)

localize196.0ms (2.1%)

series70.0ms (0.7%)

rewrite490.0ms (5.2%)

simplify633.0ms (6.7%)

eval213.0ms (2.3%)

prune144.0ms (1.5%)

simplify336.0ms (3.6%)

localize200.0ms (2.1%)

series41.0ms (0.4%)

rewrite558.0ms (5.9%)

simplify588.0ms (6.2%)

eval168.0ms (1.8%)

prune105.0ms (1.1%)

simplify8.0ms (0.1%)

localize51.0ms (0.5%)

series3.0ms (0%)

rewrite334.0ms (3.5%)

simplify259.0ms (2.7%)

eval108.0ms (1.1%)

prune163.0ms (1.7%)

regimes47.0ms (0.5%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch12.0ms (0.1%)

simplify11.0ms (0.1%)

soundness765.0ms (8.1%)

preprocess62.0ms (0.7%)

end0.0ms (0%)

Profiling