Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze26.0ms (0.2%)

Memory

-9.0MiB live, 29.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	14%	86%	0%	0%	0%	0
0%	0%	14%	86%	0%	0%	0%	1
0%	0%	14%	86%	0%	0%	0%	2
25%	3.5%	10.5%	86%	0%	0%	0%	3
62.5%	8.8%	5.3%	86%	0%	0%	0%	4
75%	10.5%	3.5%	86%	0%	0%	0%	5
84.4%	11.8%	2.2%	86%	0%	0%	0%	6
92.2%	12.9%	1.1%	86%	0%	0%	0%	7
93.8%	13.2%	0.9%	86%	0%	0%	0%	8
95.7%	13.4%	0.6%	86%	0%	0%	0%	9
97.9%	13.7%	0.3%	86%	0%	0%	0%	10
98.4%	13.8%	0.2%	86%	0%	0%	0%	11
99%	13.9%	0.1%	86%	0%	0%	0%	12

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.7s (13.1%)

Memory

49.3MiB live, 2 355.0MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 904.0ms

ival-mult: 304.0ms (33.6% of total)

ival-add: 228.0ms (25.2% of total)

ival-div: 155.0ms (17.2% of total)

ival->: 140.0ms (15.5% of total)

ival-sub: 43.0ms (4.8% of total)

ival-and: 17.0ms (1.9% of total)

exact: 14.0ms (1.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain326.0ms (2.5%)

Memory

-16.3MiB live, 453.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
226	0	-	0	-	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`
159	0	-	2	(4.3042286407958174e+184 -1.3518030147792468e-126 5.141405652731409e+26)	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`
0	0	-	0	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	0	-	0	-	`beta`
0	0	-	0	-	`(+.f64 alpha beta)`
0	0	-	0	-	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 (+.f64 alpha beta) i)`
0	0	-	0	-	`alpha`
0	0	-	0	-	`(*.f64 beta alpha)`
0	0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	9	(2.672146968081842e+259 6.656818512646417e+183 4.431830798067165e+83)	0	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	0	-	0	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
0	0	-	0	-	`#s(literal 2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	175	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	158
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	226
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	314
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	175
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	o/o	136	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	158
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	226
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	314
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	175
↳	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	overflow	136
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	175
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	175
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/n	51	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	158
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	226
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	314
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	n/o	21	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	175
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	175
`+.f64`	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	nan-rescue	9	0
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	157

Confusion

	Predicted +	Predicted -
+	226	0
-	0	30

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	226	0	0
-	0	0	30

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	30
1	67
2	152
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 606 to 113 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 39.0ms (67.3% of total)

ival-add: 9.0ms (15.5% of total)

ival-div: 6.0ms (10.4% of total)

ival-sub: 2.0ms (3.5% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess197.0ms (1.5%)

Memory

15.1MiB live, 254.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 580×	`lower-fma.f64`
12 580×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 098×	`lower-*.f64`
3 894×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	508
1	377	482
2	2068	478
0	17	53
0	29	53
1	76	53
2	324	53
3	2002	53
4	6883	53
0	8193	47

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 53 to 17 computations (67.9% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.3%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

12.3%

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

Compiler

Compiled 53 to 17 computations (67.9% saved)

simplify341.0ms (2.6%)

Memory

-24.3MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12 580×	`lower-fma.f64`
12 580×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 098×	`lower-*.f64`
3 894×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	183
0	29	183
1	76	183
2	324	183
3	2002	183
4	6883	183
0	8193	166

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.5%)

Memory

34.2MiB live, 69.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 i (+.f64 (+.f64 alpha beta) i))
accuracy	0.0546875	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	38.179576557452265	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	48.23548874282783	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))

Samples

49.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (44.5% of total)

ival-add: 5.0ms (31.8% of total)

ival-div: 3.0ms (19.1% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series326.0ms (2.5%)

Memory

-35.7MiB live, 125.4MiB allocated

Counts

7 → 252

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (patch (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ())
#s(alt (.f64 i (+.f64 (+.f64 alpha beta) i)) (patch (.f64 i (+.f64 (+.f64 alpha beta) i)) #<representation binary64>) () ())

Outputs
#s(alt (* i (+ alpha i)) (taylor 0 beta) (#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ alpha i)) (* i (+ alpha i))) (taylor 0 beta) (#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ alpha i)) (* i (+ alpha i))) (taylor 0 beta) (#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ alpha i)) (* i (+ alpha i))) (taylor 0 beta) (#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* 2 i)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ alpha (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ alpha (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ alpha (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (- (pow (+ alpha (* 2 i)) 2) 1) (taylor 0 beta) (#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (taylor 0 beta) (#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) (taylor 0 beta) (#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) (taylor 0 beta) (#s(alt (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) (taylor 0 beta) (#s(alt (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
74.0ms	beta	@	0	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)))
29.0ms	i	@	0	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)))
9.0ms	beta	@	-inf	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)))
6.0ms	alpha	@	0	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)))
6.0ms	alpha	@	-inf	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)))

simplify554.0ms (4.2%)

Memory

22.3MiB live, 301.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 052×	`lower-fma.f64`
9 052×	`lower-fma.f32`
5 838×	`lower-+.f64`
5 838×	`lower-+.f32`
4 914×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1076	12372
1	3790	11572
0	8145	10751

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

Inputs
(* i (+ alpha i))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ alpha (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(- (pow (+ alpha (* 2 i)) 2) 1)
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(* (pow i 2) (pow (+ alpha i) 2))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(* i (+ alpha i))
(+ (* beta i) (* i (+ alpha i)))
(+ (* beta i) (* i (+ alpha i)))
(+ (* beta i) (* i (+ alpha i)))
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* beta i)
(* beta (+ i (/ (* i (+ alpha i)) beta)))
(* beta (+ i (/ (* i (+ alpha i)) beta)))
(* beta (+ i (/ (* i (+ alpha i)) beta)))
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* beta i)
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))
(* i (+ beta i))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ beta (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(- (pow (+ beta (* 2 i)) 2) 1)
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(* (pow i 2) (pow (+ beta i) 2))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(* i (+ beta i))
(+ (* alpha i) (* i (+ beta i)))
(+ (* alpha i) (* i (+ beta i)))
(+ (* alpha i) (* i (+ beta i)))
(* alpha (+ beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* alpha i)
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(* alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ alpha beta)
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(/ (* alpha (* beta i)) (+ alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(* i (+ alpha beta))
(* i (+ alpha (+ beta i)))
(* i (+ alpha (+ beta i)))
(* i (+ alpha (+ beta i)))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))

Outputs
(* i (+ alpha i))
(*.f64 (+.f64 alpha i) i)
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(*.f64 (+.f64 beta i) (+.f64 alpha i))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(*.f64 (+.f64 beta i) (+.f64 alpha i))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(*.f64 (+.f64 beta i) (+.f64 alpha i))
(+ alpha (* 2 i))
(fma.f64 #s(literal 2 binary64) i alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(- (pow (+ alpha (* 2 i)) 2) 1)
(-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(.f64 (/.f64 (.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(fma.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (.f64 i i)) (.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
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(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))
(* (pow i 2) (pow (+ beta i) 2))
(.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 (.f64 alpha i) (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 (fma.f64 (.f64 alpha i) (+.f64 beta i) (.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i)) alpha (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 (fma.f64 (.f64 alpha i) (+.f64 beta i) (.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i)) alpha (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)))
(* i (+ beta i))
(*.f64 (+.f64 beta i) i)
(+ (* alpha i) (* i (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(+ (* alpha i) (* i (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(+ (* alpha i) (* i (+ beta i)))
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(* alpha (+ beta i))
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(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
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(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha)
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) #s(literal 1 binary64))) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (.f64 alpha alpha))) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (.f64 alpha alpha))) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (.f64 alpha alpha))
(/ (* i (+ beta i)) (pow alpha 2))
(*.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 i alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)) alpha)))) (*.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
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(* i (+ beta i))
(*.f64 (+.f64 beta i) i)
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(fma.f64 (+.f64 beta i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 beta i)) alpha))))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(-.f64 (fma.f64 i (+.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (+.f64 beta i)) (fma.f64 (.f64 i i) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 alpha alpha)) (/.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 i (-.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 i (-.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 beta i)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))))) (fma.f64 i (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 beta i)) alpha) (.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (/.f64 (.f64 (.f64 i (-.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))))
(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 (*.f64 alpha alpha) i) (+.f64 beta i))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(.f64 (.f64 i (+.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (+.f64 beta i))) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (fma.f64 (/.f64 (.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (.f64 i (+.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (+.f64 beta i)))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (fma.f64 (/.f64 (.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (.f64 i (+.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (+.f64 beta i)))) (*.f64 alpha alpha))
(* alpha i)
(*.f64 alpha i)
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) alpha)
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) alpha)
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) alpha)
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(*.f64 (-.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) beta) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(*.f64 (-.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) beta) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(*.f64 (-.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) beta) (neg.f64 alpha))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 alpha))) alpha)) (.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 alpha))) alpha)) (.f64 alpha alpha))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (neg.f64 beta) i) alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (.f64 (-.f64 (neg.f64 beta) i) i) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64)))) alpha))) (.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (.f64 (-.f64 (neg.f64 beta) i) i) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))) alpha)) #s(literal -4 binary64) (-.f64 (fma.f64 (neg.f64 i) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (-.f64 (neg.f64 beta) i)) alpha) (fma.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha) (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i)))) (fma.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (-.f64 (neg.f64 beta) i))) i (.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64)))) alpha))) (.f64 alpha alpha))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64)))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))) alpha) (.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (.f64 i i))) (fma.f64 (neg.f64 (.f64 (-.f64 (neg.f64 beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) i (.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64)))) alpha)))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(.f64 (.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (neg.f64 (.f64 i (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) alpha)))) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (neg.f64 i) i) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) alpha))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (.f64 (.f64 (neg.f64 i) i) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) alpha))) (*.f64 alpha alpha))
(* alpha i)
(*.f64 alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(*.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(*.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(*.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) (neg.f64 alpha))
(* alpha beta)
(*.f64 beta alpha)
(+ (* alpha beta) (* i (+ alpha beta)))
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(*.f64 (+.f64 beta i) (+.f64 alpha i))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(*.f64 (+.f64 beta i) (+.f64 alpha i))
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(- (pow (+ alpha beta) 2) 1)
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(.f64 (/.f64 (.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 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2 binary64))))))) i (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 beta alpha) i) (+.f64 beta alpha))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha)))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* alpha (* beta (* i (+ alpha beta))))
(.f64 (.f64 (*.f64 (+.f64 beta alpha) i) beta) alpha)
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(.f64 (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i (.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i)
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
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(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) i) i (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i)
(* i (+ alpha beta))
(*.f64 (+.f64 beta alpha) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (.f64 i i))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 beta i))) (.f64 i i))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 beta i))) (.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i)
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (.f64 i i))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
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(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
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(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
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(* 1/4 (pow i 2))
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(pow i 4)
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(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (neg.f64 (fma.f64 alpha (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i)))) i)) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i)) i))) i)) (pow.f64 i #s(literal 4 binary64)))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (.f64 i i))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (.f64 i i))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (.f64 i i))

rewrite315.0ms (2.4%)

Memory

-28.7MiB live, 264.3MiB allocated

Rules

5 174×	`lower-fma.f64`
5 174×	`lower-fma.f32`
4 888×	`lower-/.f32`
4 884×	`lower-/.f64`
4 186×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	149
0	29	125
1	146	125
2	1503	125
0	8180	116

Stop Event

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

Counts

7 → 432

Calls

Call 1

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

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

eval187.0ms (1.4%)

Memory: 15.6MiB live, 320.2MiB allocated
Compiler: Compiled 68 815 to 3 753 computations (94.5% saved)

prune331.0ms (2.5%)

Memory

-13.3MiB live, 395.2MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1 023	19	1 042
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 024	19	1 043

Accuracy

99.2%

Counts

1 043 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	12.3%	(/.f64 (/.f64 (.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	1.6%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	5.4%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) beta)) (.f64 beta beta))))
	12.3%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	35.0%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	35.2%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	19.6%	(/.f64 (.f64 (neg.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	9.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	28.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) i))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	31.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	18.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))))
	35.0%	(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(literal -1 binary64)))
	39.9%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
	63.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64)))) i)))
▶	26.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
▶	76.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 730 to 768 computations (55.6% saved)

simplify184.0ms (1.4%)

Memory

31.4MiB live, 190.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	384	(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	192	(fma.f64 i i (*.f64 (+.f64 alpha beta) i))
cost-diff	512	(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))
cost-diff	0	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
cost-diff	0	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	512	(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Rules

7 766×	`lower-fma.f32`
7 756×	`lower-fma.f64`
4 162×	`lower-*.f32`
4 140×	`lower-*.f64`
3 524×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	747
0	94	696
1	198	696
2	603	696
3	3541	696
4	5375	657
5	6605	657
0	8015	649

Stop Event

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

Calls

Call 1

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

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

localize261.0ms (2%)

Memory

-1.3MiB live, 151.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))
accuracy	5.173475128111855	(.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))))
accuracy	38.179576557452265	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	42.432943449829445	(.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))
accuracy	0.015625	(*.f64 (+.f64 alpha beta) i)
accuracy	0.0546875	(.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	38.179576557452265	(/.f64 (/.f64 (.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	48.23548874282783	(/.f64 (.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))
accuracy	0.0546875	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	36.191852535699006	#s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))
accuracy	38.179576557452265	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
accuracy	48.23548874282783	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))
accuracy	0	(/.f64 i beta)
accuracy	0	(+.f64 alpha i)
accuracy	0.20703125	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
accuracy	47.021195262662694	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
accuracy	15.304046594592075	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Samples

107.0ms

256×

valid

Compiler

Compiled 728 to 46 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 46.0ms (55.2% of total)

ival-mult: 20.0ms (24% of total)

ival-add: 12.0ms (14.4% of total)

ival-pow: 3.0ms (3.6% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series286.0ms (2.1%)

Memory

-40.1MiB live, 178.4MiB allocated

Counts

23 → 804

Calls

Call 1

Inputs
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) (patch (.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ())
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) (patch (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (patch (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ())
#s(alt (fma.f64 i i (.f64 (+.f64 alpha beta) i)) (patch (fma.f64 i i (.f64 (+.f64 alpha beta) i)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (patch (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ())
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Calls

9 calls:

Time	Variable		Point	Expression
79.0ms	beta	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* i i) (* (+ alpha beta) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ i beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ alpha beta) i) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (pow (+ (* 2 i) (+ alpha beta)) -2))
49.0ms	alpha	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* i i) (* (+ alpha beta) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ i beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ alpha beta) i) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (pow (+ (* 2 i) (+ alpha beta)) -2))
10.0ms	beta	@	inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* i i) (* (+ alpha beta) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ i beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ alpha beta) i) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (pow (+ (* 2 i) (+ alpha beta)) -2))
7.0ms	beta	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* i i) (* (+ alpha beta) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ i beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ alpha beta) i) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (pow (+ (* 2 i) (+ alpha beta)) -2))
6.0ms	alpha	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* i i) (* (+ alpha beta) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ i beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ alpha beta) i) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2))) (pow (+ (* 2 i) (+ alpha beta)) -2))

simplify402.0ms (3%)

Memory

37.6MiB live, 341.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 220×	`lower-*.f64`
7 220×	`lower-*.f32`
7 210×	`lower-fma.f64`
7 210×	`lower-fma.f32`
4 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2152	51586
1	7547	51548
0	8827	47183

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 794

Calls

Call 1

Inputs
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(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* beta i)
(* beta (+ i (+ (/ (* alpha i) beta) (/ (pow i 2) beta))))
(* beta (+ i (+ (/ (* alpha i) beta) (/ (pow i 2) beta))))
(* beta (+ i (+ (/ (* alpha i) beta) (/ (pow i 2) beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))))
(* beta i)
(* beta (+ i (/ (* alpha i) beta)))
(* beta (+ i (/ (* alpha i) beta)))
(* beta (+ i (/ (* alpha i) beta)))
(/ i beta)
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 alpha) (* 4 i)) (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))) beta)
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* 2 alpha) (* 4 i)) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (+ alpha (* 2 i)) 2)) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (+ alpha (* 2 i)) 2)) (+ (* 2 alpha) (* 4 i)))) (* -1 (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ (* 2 alpha) (* 4 i)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* beta i)
(* -1 (* beta (+ (* -1 i) (* -1 (/ (+ (* alpha i) (pow i 2)) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (+ (* alpha i) (pow i 2)) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (+ (* alpha i) (pow i 2)) beta)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (pow (+ alpha (* 2 i)) 2) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) beta))))
(* beta i)
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* alpha i) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* alpha i) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* alpha i) beta)))))
(/ i beta)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -1 (/ (* i (pow (+ alpha (* 2 i)) 2)) beta)) (* i (+ alpha i)))) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))))) (* -1 (* i (pow (+ alpha (* 2 i)) 2))))) beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))))) (* -1 (* i (pow (+ alpha (* 2 i)) 2))))) beta)) (* i (+ alpha i))) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(/ 1 (pow beta 2))
(/ (+ 1 (* -2 (/ (+ alpha (* 2 i)) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ alpha (* 2 i)) 2) beta)) (/ (pow (+ alpha (* 2 i)) 2) beta)) (* -2 (+ alpha (* 2 i)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -4 (pow (+ alpha (* 2 i)) 2)) (pow (+ alpha (* 2 i)) 2))) beta)) (* 2 (/ (pow (+ alpha (* 2 i)) 3) beta))) (+ (* -4 (pow (+ alpha (* 2 i)) 2)) (pow (+ alpha (* 2 i)) 2))) beta)) (* -2 (+ alpha (* 2 i)))) beta))) (pow beta 2))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* alpha i)
(* alpha (+ i (+ (/ (* beta i) alpha) (/ (pow i 2) alpha))))
(* alpha (+ i (+ (/ (* beta i) alpha) (/ (pow i 2) alpha))))
(* alpha (+ i (+ (/ (* beta i) alpha) (/ (pow i 2) alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* alpha (+ beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))))
(* alpha i)
(* alpha (+ i (/ (* beta i) alpha)))
(* alpha (+ i (/ (* beta i) alpha)))
(* alpha (+ i (/ (* beta i) alpha)))
(/ i alpha)
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(/ 1 (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ (* 2 beta) (* 4 i)) alpha))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (+ beta (* 2 i)) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (+ beta (* 2 i)) 2)) (+ (* 2 beta) (* 4 i)))) (* -1 (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ (* 2 beta) (* 4 i)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(/ alpha beta)
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (pow (+ beta (* 2 i)) 2) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) alpha))))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* beta i) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* beta i) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* beta i) alpha)))))
(/ i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) alpha)) (* i (+ beta i)))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (* i (+ beta i))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(/ 1 (pow alpha 2))
(/ (+ 1 (* -2 (/ (+ beta (* 2 i)) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ beta (* 2 i)) 2) alpha)) (/ (pow (+ beta (* 2 i)) 2) alpha)) (* -2 (+ beta (* 2 i)))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -4 (pow (+ beta (* 2 i)) 2)) (pow (+ beta (* 2 i)) 2))) alpha)) (* 2 (/ (pow (+ beta (* 2 i)) 3) alpha))) (+ (* -4 (pow (+ beta (* 2 i)) 2)) (pow (+ beta (* 2 i)) 2))) alpha)) (* -2 (+ beta (* 2 i)))) alpha))) (pow alpha 2))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ alpha beta)
(+ (/ alpha beta) (/ i beta))
(+ (/ alpha beta) (/ i beta))
(+ (/ alpha beta) (/ i beta))
alpha
(+ alpha i)
(+ alpha i)
(+ alpha i)
(* alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ alpha beta)
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(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
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(/ i beta)
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(* i (+ alpha beta))
(* i (+ alpha beta))
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(* i (+ (* -3 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))
(* i (+ (* i (- (* 8 (/ i (pow (+ alpha beta) 3))) (* 3 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))
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(/ (* alpha (* beta i)) (+ alpha beta))
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1/16
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1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ i beta)
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
i
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(* i (+ alpha beta))
(* i (+ alpha beta))
(* i (+ alpha beta))
(* i (+ alpha beta))
1/4
(+ 1/4 (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ alpha beta) 4)) (* 1/16 (pow (+ alpha beta) 4))) (pow i 4)))) (+ (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(/ 1/4 (pow i 2))
(/ (+ 1/4 (* -1/4 (/ (+ alpha beta) i))) (pow i 2))
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (pow (+ alpha beta) 2))) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) (pow i 2))
(/ (- (+ 1/4 (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (pow (+ alpha beta) 2))))) (* -1/16 (pow (+ alpha beta) 3))) (pow i 3)))) (+ (* -1/4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (pow i 2))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ i beta)
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
i
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* 1/4 (pow i 2))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/16 (pow (+ alpha beta) 2)))) i)) (* -1/2 (+ alpha beta))) (* -1/4 (+ alpha beta))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (* alpha (* beta (+ alpha beta)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/16 (pow (+ alpha beta) 2)))))) (* 1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) i)) (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/16 (pow (+ alpha beta) 2)))) i)) (* -1/2 (+ alpha beta))) (* -1/4 (+ alpha beta))) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))))) (pow i 3))) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha beta) (- (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))))))) i)) (+ (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))))) i))))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))))) (pow i 3))) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(pow i 4)
(* (pow i 4) (+ 1 (* 2 (/ (+ alpha beta) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 (+ alpha beta)) (* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 (+ alpha beta)) (* -1 (/ (+ (* alpha beta) (+ (/ (* alpha (* beta (+ alpha beta))) i) (pow (+ alpha beta) 2))) i))) i))))
(* i (+ alpha beta))
(* i (+ alpha beta))
(* i (+ alpha beta))
(* i (+ alpha beta))
1/4
(+ 1/4 (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(+ 1/4 (+ (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))))
(+ 1/4 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow (+ alpha beta) 4)) (* 1/64 (pow (+ alpha beta) 4))) i)) (* -1/16 (pow (+ alpha beta) 3))) (pow i 3))) (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(/ 1/4 (pow i 2))
(/ (+ 1/4 (* -1/4 (/ (+ alpha beta) i))) (pow i 2))
(/ (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (+ alpha beta) 2) i)) (* 1/16 (/ (pow (+ alpha beta) 2) i))) (* -1/4 (+ alpha beta))) i))) (pow i 2))
(/ (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (+ alpha beta) 3) i)) (/ (* (+ alpha beta) (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (pow (+ alpha beta) 2)))) i)) (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (pow (+ alpha beta) 2)))) i)) (* -1/4 (+ alpha beta))) i))) (pow i 2))

Outputs
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(.f64 (/.f64 (.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
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#s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 alpha #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (.f64 (+.f64 alpha i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (.f64 (/.f64 i (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 alpha i) (/.f64 (.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))))
(* i (* (+ alpha i) (+ (* alpha i) (pow i 2))))
(.f64 (.f64 (+.f64 alpha i) i) (*.f64 (+.f64 alpha i) i))
(+ (* beta (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i)))) (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))))
(fma.f64 (fma.f64 (.f64 (+.f64 alpha i) i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (.f64 i i))) beta (.f64 (.f64 (+.f64 alpha i) i) (.f64 (+.f64 alpha i) i)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))))) (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))))
(fma.f64 (fma.f64 (.f64 beta i) (+.f64 alpha i) (fma.f64 (.f64 (+.f64 alpha i) i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (.f64 i i)))) beta (.f64 (.f64 (+.f64 alpha i) i) (*.f64 (+.f64 alpha i) i)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))))) (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))))
(fma.f64 (fma.f64 (.f64 beta i) (+.f64 alpha i) (fma.f64 (.f64 (+.f64 alpha i) i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (.f64 i i)))) beta (.f64 (.f64 (+.f64 alpha i) i) (*.f64 (+.f64 alpha i) i)))
(* alpha i)
(*.f64 alpha i)
(+ (* alpha i) (* beta i))
(*.f64 (+.f64 beta alpha) i)
(+ (* alpha i) (* beta i))
(*.f64 (+.f64 beta alpha) i)
(+ (* alpha i) (* beta i))
(*.f64 (+.f64 beta alpha) i)
(/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))
(/.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))
(+ (* beta (- (/ i (pow (+ alpha (* 2 i)) 2)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))
(fma.f64 (-.f64 (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) beta (/.f64 (.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ i (pow (+ alpha (* 2 i)) 2)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (/ i (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))
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(+ (* beta (- (+ (* beta (- (* beta (- (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (* -1 (/ (* (+ (* 2 alpha) (* 4 i)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ i (pow (+ alpha (* 2 i)) 2)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)))) (pow (+ alpha (* 2 i)) 2))) (/ i (pow (+ alpha (* 2 i)) 4))))) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ i (pow (+ alpha (* 2 i)) 2)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (/ i (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
(/.f64 (.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) beta (/.f64 (.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
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(* (pow beta 2) (* i (+ alpha i)))
(.f64 (.f64 (*.f64 beta beta) i) (+.f64 alpha i))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))))
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(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))))
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(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))))
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(* beta i)
(*.f64 beta i)
(* beta (+ i (/ (* alpha i) beta)))
(*.f64 (fma.f64 alpha (/.f64 i beta) i) beta)
(* beta (+ i (/ (* alpha i) beta)))
(*.f64 (fma.f64 alpha (/.f64 i beta) i) beta)
(* beta (+ i (/ (* alpha i) beta)))
(*.f64 (fma.f64 alpha (/.f64 i beta) i) beta)
(/ i beta)
(/.f64 i beta)
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
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(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
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(* i (+ alpha i))
(*.f64 (+.f64 alpha i) i)
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(/ 1 (pow beta 2))
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(/ (+ 1 (* -1 (/ (+ (* 2 alpha) (* 4 i)) beta))) (pow beta 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (.f64 alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (+ alpha (* 2 i)) 2)) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))) (pow beta 2))
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (+ alpha (* 2 i)) 2)) (+ (* 2 alpha) (* 4 i)))) (* -1 (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ (* 2 alpha) (* 4 i)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(.f64 (/.f64 (neg.f64 i) beta) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 alpha i)) beta))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(- (pow (+ beta (* 2 i)) 2) 1)
(-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha) alpha (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha) alpha (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2))
(/.f64 (.f64 (.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
(+ (* alpha (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2)))
(fma.f64 (-.f64 (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (.f64 (.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 4)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 4)))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta i) (.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))
(/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(.f64 (/.f64 i (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 beta i) (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))
(+ (* alpha (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow i 2)) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(* i (* (+ beta i) (+ (* beta i) (pow i 2))))
(.f64 (.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))
(+ (* alpha (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i)))) (* i (* (+ beta i) (+ (* beta i) (pow i 2)))))
(fma.f64 (fma.f64 (.f64 (+.f64 beta i) i) (+.f64 beta i) (.f64 (+.f64 beta i) (.f64 i i))) alpha (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))))) (* i (* (+ beta i) (+ (* beta i) (pow i 2)))))
(fma.f64 (fma.f64 (.f64 (+.f64 beta i) i) alpha (fma.f64 (.f64 (+.f64 beta i) i) (+.f64 beta i) (.f64 (+.f64 beta i) (.f64 i i)))) alpha (.f64 (.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))))) (* i (* (+ beta i) (+ (* beta i) (pow i 2)))))
(fma.f64 (fma.f64 (.f64 (+.f64 beta i) i) alpha (fma.f64 (.f64 (+.f64 beta i) i) (+.f64 beta i) (.f64 (+.f64 beta i) (.f64 i i)))) alpha (.f64 (.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)))
(* beta i)
(*.f64 beta i)
(+ (* alpha i) (* beta i))
(*.f64 (+.f64 beta alpha) i)
(+ (* alpha i) (* beta i))
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
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(* alpha (+ beta i))
(*.f64 (+.f64 beta i) alpha)
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) alpha)
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) alpha)
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) alpha)
(/ (* i (+ beta i)) (pow alpha 2))
(*.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 i alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
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(* i (+ beta i))
(*.f64 (+.f64 beta i) i)
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
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(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (.f64 (/.f64 i alpha) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
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(* i (+ beta i))
(*.f64 (+.f64 beta i) i)
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(- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(/ (* i (+ beta i)) (pow alpha 2))
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(/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
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(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 (*.f64 alpha alpha) i) (+.f64 beta i))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))
(.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 beta i) alpha)))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))))
(.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) alpha)) (/.f64 i alpha) (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 beta i) alpha))))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))))
(.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) alpha)) (/.f64 i alpha) (fma.f64 (+.f64 beta i) (/.f64 (.f64 (+.f64 beta i) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 beta i) alpha))))) (*.f64 alpha alpha))
(* alpha i)
(*.f64 alpha i)
(* alpha (+ i (/ (* beta i) alpha)))
(*.f64 (fma.f64 beta (/.f64 i alpha) i) alpha)
(* alpha (+ i (/ (* beta i) alpha)))
(*.f64 (fma.f64 beta (/.f64 i alpha) i) alpha)
(* alpha (+ i (/ (* beta i) alpha)))
(*.f64 (fma.f64 beta (/.f64 i alpha) i) alpha)
(/ i alpha)
(/.f64 i alpha)
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/.f64 (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) i) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
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(* i (+ beta i))
(*.f64 (+.f64 beta i) i)
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta i) i)) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (+ (* 2 beta) (* 4 i)) alpha))) (pow alpha 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (+ beta (* 2 i)) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) alpha) #s(literal 1 binary64)) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (.f64 (/.f64 i alpha) #s(literal 4 binary64)))) (*.f64 alpha alpha))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (+ beta (* 2 i)) 2)) (+ (* 2 beta) (* 4 i)))) (* -1 (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ (* 2 beta) (* 4 i)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 #s(literal -1 binary64) alpha) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (.f64 alpha alpha)))))) (.f64 alpha alpha))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 beta i)) alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (.f64 (neg.f64 i) (+.f64 beta i))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
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(* alpha i)
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
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(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
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(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) (neg.f64 beta)))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
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(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(* -1 (* i (+ (* -1 beta) (* -1 i))))
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(* -1 (* i (+ (* -1 beta) (* -1 i))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) alpha))))
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) alpha))))
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) alpha))))
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(* alpha i)
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(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* beta i) alpha)))))
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(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* beta i) alpha)))))
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(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* beta i) alpha)))))
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(/ i alpha)
(/.f64 i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) alpha)) (* i (+ beta i)))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (* i (+ beta i))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (* i (+ (* -1 beta) (* -1 i))))
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
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(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (+ 1 (* -2 (/ (+ beta (* 2 i)) alpha))) (pow alpha 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ beta (* 2 i)) 2) alpha)) (/ (pow (+ beta (* 2 i)) 2) alpha)) (* -2 (+ beta (* 2 i)))) alpha))) (pow alpha 2))
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(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -4 (pow (+ beta (* 2 i)) 2)) (pow (+ beta (* 2 i)) 2))) alpha)) (* 2 (/ (pow (+ beta (* 2 i)) 3) alpha))) (+ (* -4 (pow (+ beta (* 2 i)) 2)) (pow (+ beta (* 2 i)) 2))) alpha)) (* -2 (+ beta (* 2 i)))) alpha))) (pow alpha 2))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(.f64 (/.f64 (.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(.f64 (/.f64 (.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 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(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 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(*.f64 (/.f64 alpha beta) (/.f64 i beta))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
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(/ alpha beta)
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(+ (/ alpha beta) (/ i beta))
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alpha
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(* alpha beta)
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(+ (* alpha beta) (* i (+ alpha beta)))
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(+ (* alpha beta) (* i (+ alpha (+ beta i))))
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(+ (* alpha beta) (* i (+ alpha (+ beta i))))
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(+ alpha beta)
(+.f64 beta alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(.f64 (/.f64 (.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(* alpha (* beta (* i (+ alpha beta))))
(.f64 (.f64 (*.f64 (+.f64 beta alpha) i) beta) alpha)
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(.f64 (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i (.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i)
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(.f64 (fma.f64 (fma.f64 beta alpha (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 (.f64 (+.f64 beta alpha) beta) alpha)) i)
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(.f64 (fma.f64 (fma.f64 beta alpha (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) i) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i)
(* i (+ alpha beta))
(*.f64 (+.f64 beta alpha) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(- (pow (+ alpha beta) 2) 1)
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(* alpha beta)
(*.f64 beta alpha)
(+ (* alpha beta) (* i (+ alpha beta)))
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(.f64 (/.f64 (.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 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(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 beta alpha) i) (+.f64 beta alpha))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha))))) i)) (.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(- (pow (+ alpha beta) 2) 1)
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 beta alpha) i) (+.f64 beta alpha))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(.f64 (/.f64 (.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) i (.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 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(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 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(* alpha (* beta (* i (+ alpha beta))))
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(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(.f64 (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i (.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i)
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
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(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
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(* i (+ alpha beta))
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(* i (+ alpha beta))
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(* i (+ alpha beta))
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(* i (+ alpha beta))
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(/ i (+ alpha beta))
(/.f64 i (+.f64 beta alpha))
(* i (+ (* -3 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))
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(* i (+ (* i (- (* 8 (/ i (pow (+ alpha beta) 3))) (* 3 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))
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(* i (+ (* i (- (* i (+ (* -20 (/ i (pow (+ alpha beta) 4))) (* 8 (/ 1 (pow (+ alpha beta) 3))))) (* 3 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))
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(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 beta alpha) i) (+.f64 beta alpha))
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(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -3/16 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 i i))
(/ (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (+ alpha beta) 3) i)) (/ (* (+ alpha beta) (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (pow (+ alpha beta) 2)))) i)) (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (pow (+ alpha beta) 2)))) i)) (* -1/4 (+ alpha beta))) i))) (pow i 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) i) #s(literal 1/16 binary64) (.f64 (+.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -3/16 binary64)) i))) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -3/16 binary64))) i) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 i i))

rewrite293.0ms (2.2%)

Memory

0.3MiB live, 383.5MiB allocated

Rules

5 146×	`lower-/.f32`
5 136×	`lower-/.f64`
3 038×	`lower-*.f32`
3 016×	`lower-*.f64`
2 540×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	550
0	94	445
1	393	445
2	3442	445
0	8262	445

Stop Event

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

Counts

23 → 1 185

Calls

Call 1

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

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

eval421.0ms (3.2%)

Memory: 59.8MiB live, 1 000.1MiB allocated
Compiler: Compiled 176 804 to 7 164 computations (95.9% saved)

prune474.0ms (3.6%)

Memory

-23.8MiB live, 978.5MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	2 775	29	2 804
Fresh	12	2	14
Picked	4	1	5
Done	0	0	0
Total	2 791	32	2 823

Accuracy

99.4%

Counts

2 823 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.1%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.3%	(/.f64 (/.f64 (.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	1.6%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	12.3%	(/.f64 (/.f64 #s(approx (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	2.5%	(/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (.f64 (.f64 (.f64 beta beta) i) (+.f64 alpha i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	35.0%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))))
	35.1%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	28.2%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #s(approx (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	31.9%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #s(approx (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	35.2%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	7.9%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	35.0%	(/.f64 (.f64 (+.f64 (fma.f64 beta alpha (.f64 (+.f64 beta alpha) i)) (.f64 i i)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	35.0%	(/.f64 (.f64 #s(approx (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (.f64 (+.f64 beta i) i)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	31.9%	(/.f64 #s(approx (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 beta alpha) i)) #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.6%	(/.f64 #s(approx (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	11.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	39.9%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
▶	63.4%	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))
▶	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
▶	26.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
	26.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
	12.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
	19.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	20.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64))) beta) (/.f64 i beta)))
	20.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
▶	12.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	26.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 (/.f64 (+.f64 alpha i) beta) i) (pow.f64 beta #s(literal -1 binary64))))
	25.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	10.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 i beta)))
✓	76.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 844 to 975 computations (47.1% saved)

simplify157.0ms (1.2%)

Memory

33.6MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	768	(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
cost-diff	320	(fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))))
cost-diff	1216	(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
cost-diff	384	(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(/.f64 i (*.f64 beta beta))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))
cost-diff	128	(-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))
cost-diff	7168	(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))

Rules

8 932×	`lower-fma.f32`
8 918×	`lower-fma.f64`
5 088×	`lower-*.f32`
5 064×	`lower-*.f64`
3 544×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	896
0	129	867
1	271	864
2	788	834
3	3707	799
4	6537	799
0	8337	775

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))
(fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/16 binary64) i)
#s(literal 1/16 binary64)
i
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
beta
alpha
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 beta alpha)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))
(/.f64 #s(literal 1/256 binary64) i)
#s(literal 1/256 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))
#s(literal 20 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
(+.f64 alpha i)
alpha
i
(/.f64 i (*.f64 beta beta))
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
alpha
i
beta
(/.f64 beta i)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
(/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))
(fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))))
(+.f64 alpha i)
alpha
i
(.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))
(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta)
(*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i))
(+.f64 (+.f64 alpha i) i)
beta
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)
(.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i))
(fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha))
#s(literal 8 binary64)
(*.f64 #s(literal 4 binary64) alpha)
#s(literal 4 binary64)
(*.f64 beta beta)
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(+.f64 (+.f64 alpha beta) i)
(+.f64 alpha beta)
alpha
beta
i
(*.f64 alpha beta)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
#s(literal 2 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 1 binary64)

Outputs
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (fma.f64 (/.f64 #s(literal -1/256 binary64) i) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i) (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) i) i) #s(literal 1/16 binary64))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))
(fma.f64 (/.f64 #s(literal -1/256 binary64) i) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i) (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) i) i) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64))
(fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) i) i) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/16 binary64) i)
#s(literal 1/16 binary64)
i
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
beta
alpha
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 beta alpha)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))
(*.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) (/.f64 (/.f64 #s(literal 1/256 binary64) i) i))
(/.f64 #s(literal 1/256 binary64) i)
#s(literal 1/256 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i)
(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))
(fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64))
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))
(*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
#s(literal 20 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 alpha i) beta) beta) i))
(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha i) beta) beta) i)
(+.f64 alpha i)
alpha
i
(/.f64 i (*.f64 beta beta))
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 alpha i) beta) beta) i))
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))
(*.f64 (/.f64 (/.f64 (+.f64 alpha i) beta) beta) i)
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
alpha
i
beta
(/.f64 beta i)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)))) (+.f64 alpha i)) beta) (/.f64 i beta)))
(/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))
(.f64 (/.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)))) (+.f64 alpha i)) beta) (/.f64 i beta))
(fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))))
(.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)))) (+.f64 alpha i)) i)
(+.f64 alpha i)
alpha
i
(.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))
(.f64 (.f64 (/.f64 (+.f64 alpha i) beta) i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)))))
(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))
(.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)))))
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (+.f64 alpha i))
(*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i))
(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i))
(+.f64 (+.f64 alpha i) i)
(fma.f64 #s(literal 2 binary64) i alpha)
beta
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 alpha i))
(.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i))
(fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha))
#s(literal 8 binary64)
(*.f64 #s(literal 4 binary64) alpha)
#s(literal 4 binary64)
(*.f64 beta beta)
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (+.f64 beta i) i (*.f64 alpha (+.f64 beta i)))) (/.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
(.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (+.f64 beta i) i (*.f64 alpha (+.f64 beta i)))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 beta i) i (*.f64 alpha (+.f64 beta i))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(fma.f64 (+.f64 beta i) i (*.f64 alpha (+.f64 beta i)))
(+.f64 (+.f64 alpha beta) i)
(+.f64 (+.f64 beta alpha) i)
(+.f64 alpha beta)
(+.f64 beta alpha)
alpha
beta
i
(*.f64 alpha beta)
(*.f64 beta alpha)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
#s(literal 2 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i))
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
(*.f64 #s(literal 2 binary64) i)
#s(literal 1 binary64)

localize231.0ms (1.7%)

Memory

-39.3MiB live, 339.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
accuracy	36.79237951356662	(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
accuracy	36.93395100303582	(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
accuracy	38.179576557452265	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	9.679016334507175	(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta)
accuracy	19.90807244453925	(/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))
accuracy	31.308370819662205	(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))
accuracy	48.17281171240502	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
accuracy	0	(/.f64 beta i)
accuracy	0	(+.f64 alpha i)
accuracy	0.16796875	(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))
accuracy	47.021195262662694	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
accuracy	0	(*.f64 beta beta)
accuracy	3.7005004586982237	(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
accuracy	12.304943103016292	(/.f64 i (*.f64 beta beta))
accuracy	47.021195262662694	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
accuracy	4.914099647995214	(-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))
accuracy	11.779502538704085	(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
accuracy	11.831341967242583	(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
accuracy	15.734857570861607	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))

Samples

150.0ms

256×

valid

Compiler

Compiled 833 to 73 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 47.0ms (38.6% of total)

ival-mult: 32.0ms (26.3% of total)

ival-add: 28.0ms (23% of total)

ival-sub: 11.0ms (9% of total)

ival-pow2: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series272.0ms (2%)

Memory

8.5MiB live, 237.3MiB allocated

Counts

26 → 864

Calls

Call 1

Inputs
#s(alt (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (patch (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))) (patch (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))) (patch #s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))) #<representation binary64>) () ())
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())
#s(alt (/.f64 i (.f64 beta beta)) (patch (/.f64 i (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) (patch (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)) (patch (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (patch (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (.f64 beta beta))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (patch (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) (patch (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) (patch (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))) (patch (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 beta i) (patch (/.f64 beta i) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (.f64 beta beta)) (patch (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (patch (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (patch (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)) (patch (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)) #<representation binary64>) () ())

Outputs
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (patch (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (* 40 alpha))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (patch (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (patch (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	i	@	0	((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (* (+ alpha i) (/ i (* beta beta))) (/ beta i) (/ (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (* beta beta)) (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)))
24.0ms	beta	@	-inf	((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (* (+ alpha i) (/ i (* beta beta))) (/ beta i) (/ (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (* beta beta)) (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)))
22.0ms	alpha	@	inf	((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (* (+ alpha i) (/ i (* beta beta))) (/ beta i) (/ (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (* beta beta)) (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)))
9.0ms	beta	@	0	((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (* (+ alpha i) (/ i (* beta beta))) (/ beta i) (/ (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (* beta beta)) (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)))
8.0ms	i	@	-inf	((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (* (+ alpha i) (/ i (* beta beta))) (/ beta i) (/ (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (* beta beta)) (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)))

simplify351.0ms (2.6%)

Memory

21.5MiB live, 486.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 574×	`lower-fma.f64`
6 574×	`lower-fma.f32`
6 486×	`lower-*.f64`
6 486×	`lower-*.f32`
5 714×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2543	48416
0	8751	44501

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 854

Calls

Call 1

Inputs
(+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (* 40 alpha)))))
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha))))))
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha))))))
(- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (+ (* -1/32 (/ beta (pow i 2))) (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (+ (* -1/32 (/ beta (pow i 2))) (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (* (+ alpha i) (* (+ (* 4 alpha) (* 8 i)) (+ (* alpha i) (pow i 2))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2))))
(+ 1/16 (+ (* 1/16 (* beta (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/16 (/ (pow alpha 2) (pow i 2)))))
(+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (+ (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/16 (/ beta (pow i 2)))))))
(+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (+ (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/16 (/ beta (pow i 2)))))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (pow alpha 2) i)
(+ (* beta (+ (* 2 (/ alpha i)) (/ alpha i))) (/ (pow alpha 2) i))
(+ (* beta (+ (* 2 (/ alpha i)) (+ (/ alpha i) (/ beta i)))) (/ (pow alpha 2) i))
(+ (* beta (+ (* 2 (/ alpha i)) (+ (/ alpha i) (/ beta i)))) (/ (pow alpha 2) i))
(/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)
(+ (* 4 (/ (- (pow alpha 2) 1) i)) (+ (* 20 (/ (pow alpha 2) i)) (* beta (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))))))
(+ (* 4 (/ (- (pow alpha 2) 1) i)) (+ (* 20 (/ (pow alpha 2) i)) (* beta (+ (* 8 (/ alpha i)) (+ (* 24 (/ beta i)) (* 40 (/ alpha i)))))))
(+ (* 4 (/ (- (pow alpha 2) 1) i)) (+ (* 20 (/ (pow alpha 2) i)) (* beta (+ (* 8 (/ alpha i)) (+ (* 24 (/ beta i)) (* 40 (/ alpha i)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* i (+ alpha i)) (+ alpha (* 2 i)))
(+ (* beta (- (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3)) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))))) (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ alpha (pow (+ alpha (* 2 i)) 3)) (/ i (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3))) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))))) (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(/ (+ alpha (* 2 i)) (* i (+ alpha i)))
(+ (* beta (- (/ 1 (* i (+ alpha i))) (+ (* 2 (/ 1 (pow (+ alpha i) 2))) (/ alpha (* i (pow (+ alpha i) 2)))))) (+ (/ 2 (+ alpha i)) (/ alpha (* i (+ alpha i)))))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ alpha i) 3))) (/ alpha (* i (pow (+ alpha i) 3)))) (/ 1 (* i (pow (+ alpha i) 2))))) (/ 1 (* i (+ alpha i)))) (+ (* 2 (/ 1 (pow (+ alpha i) 2))) (/ alpha (* i (pow (+ alpha i) 2)))))) (+ (/ 2 (+ alpha i)) (/ alpha (* i (+ alpha i)))))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ alpha i) 3))) (+ (* beta (- (/ 1 (* i (pow (+ alpha i) 3))) (+ (* 2 (/ 1 (pow (+ alpha i) 4))) (/ alpha (* i (pow (+ alpha i) 4)))))) (/ alpha (* i (pow (+ alpha i) 3))))) (/ 1 (* i (pow (+ alpha i) 2))))) (/ 1 (* i (+ alpha i)))) (+ (* 2 (/ 1 (pow (+ alpha i) 2))) (/ alpha (* i (pow (+ alpha i) 2)))))) (+ (/ 2 (+ alpha i)) (/ alpha (* i (+ alpha i)))))
(* 24 (pow beta 2))
(* (pow beta 2) (+ 24 (+ (* 8 (/ alpha beta)) (* 40 (/ alpha beta)))))
(* (pow beta 2) (+ 24 (+ (* 4 (/ (- (pow alpha 2) 1) (pow beta 2))) (+ (* 8 (/ alpha beta)) (+ (* 20 (/ (pow alpha 2) (pow beta 2))) (* 40 (/ alpha beta)))))))
(* (pow beta 2) (+ 24 (+ (* 4 (/ (- (pow alpha 2) 1) (pow beta 2))) (+ (* 8 (/ alpha beta)) (+ (* 20 (/ (pow alpha 2) (pow beta 2))) (* 40 (/ alpha beta)))))))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2))))))
(* (pow beta 2) (- (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (/ 1/16 (pow beta 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2)))))))
(* (pow beta 2) (- (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (/ 1/16 (pow beta 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* 1/16 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/16 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (+ (/ 1/16 (pow beta 2)) (* 1/16 (/ 1 (pow i 2)))))))
(* (pow beta 2) (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (+ (/ 1/16 (pow beta 2)) (* 1/16 (/ 1 (pow i 2)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(* i (+ alpha i))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (pow beta 2) i)
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* (pow beta 2) i))))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* (pow beta 2) i))))))
(* 24 (/ (pow beta 2) i))
(* (pow beta 2) (+ (* 8 (/ alpha (* beta i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i)))))
(* (pow beta 2) (+ (* 4 (/ (- (pow alpha 2) 1) (* (pow beta 2) i))) (+ (* 8 (/ alpha (* beta i))) (+ (* 20 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i)))))))
(* (pow beta 2) (+ (* 4 (/ (- (pow alpha 2) 1) (* (pow beta 2) i))) (+ (* 8 (/ alpha (* beta i))) (+ (* 20 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(+ alpha i)
(- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
(- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 3))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))
(/ 1 i)
(+ (/ 1 beta) (/ 1 i))
(+ (* -1 (/ (+ alpha i) (pow beta 2))) (+ (/ 1 beta) (/ 1 i)))
(- (+ (/ 1 beta) (+ (/ 1 i) (/ (pow (+ alpha i) 2) (pow beta 3)))) (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* 24 (pow beta 2))
(* (pow beta 2) (+ 24 (* -1 (/ (+ (* -40 alpha) (* -8 alpha)) beta))))
(* (pow beta 2) (+ 24 (* -1 (/ (+ (* -40 alpha) (+ (* -8 alpha) (* -1 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) beta)))) beta))))
(* (pow beta 2) (+ 24 (* -1 (/ (+ (* -40 alpha) (+ (* -8 alpha) (* -1 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) beta)))) beta))))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* 1/16 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (+ (* -1/16 (/ (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))) beta)) (* 1/16 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/16 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/16 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* i (+ alpha i))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (pow beta 2) i)
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) beta)) (/ 1 i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (/ alpha i)) (+ (* -1 (/ alpha i)) (* -1 (/ (pow alpha 2) (* beta i))))) beta)) (/ 1 i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (/ alpha i)) (+ (* -1 (/ alpha i)) (* -1 (/ (pow alpha 2) (* beta i))))) beta)) (/ 1 i)))
(* 24 (/ (pow beta 2) i))
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) beta)) (* 24 (/ 1 i))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (+ (* -8 (/ alpha i)) (* -1 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) beta)))) beta)) (* 24 (/ 1 i))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (+ (* -8 (/ alpha i)) (* -1 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) beta)))) beta)) (* 24 (/ 1 i))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
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i
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (pow beta 2) i)
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(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)
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(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (+ (* 24 (/ alpha i)) (* 40 (/ beta i)))))))
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (+ (* 24 (/ alpha i)) (* 40 (/ beta i)))))))
(/ (pow i 2) (pow beta 2))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) (pow beta 2))
(+ (* alpha (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2)))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
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(* 2 (/ (pow i 2) beta))
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (/ i beta))))
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta)))))
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta)))))
(/ (* i (+ beta i)) (+ beta (* 2 i)))
(+ (* alpha (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
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(/ (+ beta (* 2 i)) (* i (+ beta i)))
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(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ beta i) 3))) (+ (* alpha (- (/ 1 (* i (pow (+ beta i) 3))) (+ (* 2 (/ 1 (pow (+ beta i) 4))) (/ beta (* i (pow (+ beta i) 4)))))) (/ beta (* i (pow (+ beta i) 3))))) (/ 1 (* i (pow (+ beta i) 2))))) (/ 1 (* i (+ beta i)))) (+ (* 2 (/ 1 (pow (+ beta i) 2))) (/ beta (* i (pow (+ beta i) 2)))))) (+ (/ 2 (+ beta i)) (/ beta (* i (+ beta i)))))
(* 24 (pow alpha 2))
(* (pow alpha 2) (+ 24 (+ (* 8 (/ beta alpha)) (* 40 (/ beta alpha)))))
(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha)))))))
(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha)))))))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2))))))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* 1/16 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
(* (pow alpha 2) (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (+ (/ 1/16 (pow alpha 2)) (* 1/16 (/ 1 (pow i 2)))))))
(* (pow alpha 2) (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (+ (/ 1/16 (pow alpha 2)) (* 1/16 (/ 1 (pow i 2)))))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
alpha
(* alpha (+ 1 (/ i alpha)))
(* alpha (+ 1 (/ i alpha)))
(* alpha (+ 1 (/ i alpha)))
(/ (* alpha i) (pow beta 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* -3 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (+ (* 2 (/ i (* alpha beta))) (/ i (* alpha beta))) (+ (* 3 (/ 1 beta)) (+ (* 4 (/ i (* alpha beta))) (* 8 (/ i (* alpha beta)))))))
(* (pow alpha 2) (- (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta)))) (+ (* 3 (/ 1 beta)) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 8 (/ (pow i 2) (* (pow alpha 2) beta))))))))
(* (pow alpha 2) (- (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta)))) (+ (* 3 (/ 1 beta)) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 8 (/ (pow i 2) (* (pow alpha 2) beta))))))))
(* -3 (/ (* (pow alpha 2) i) beta))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (pow alpha 2) i)
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (+ (/ 1 i) (/ beta (* alpha i)))))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (+ (/ 1 i) (+ (/ beta (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) i))))))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (+ (/ 1 i) (+ (/ beta (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) i))))))
(* 24 (/ (pow alpha 2) i))
(* (pow alpha 2) (+ (* 8 (/ beta (* alpha i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))))
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))))
(/ (* alpha i) (pow beta 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
(/ (pow alpha 2) beta)
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta))))))
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta))))))
(+ beta i)
(- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
(- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
(- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 3))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))
(/ 1 i)
(+ (/ 1 alpha) (/ 1 i))
(+ (* -1 (/ (+ beta i) (pow alpha 2))) (+ (/ 1 alpha) (/ 1 i)))
(- (+ (/ 1 alpha) (+ (/ 1 i) (/ (pow (+ beta i) 2) (pow alpha 3)))) (+ (/ beta (pow alpha 2)) (/ i (pow alpha 2))))
(* 24 (pow alpha 2))
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (* -8 beta)) alpha))))
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (+ (* -8 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha)))) alpha))))
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (+ (* -8 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha)))) alpha))))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* 1/16 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (+ (* -1/16 (/ (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ alpha beta)
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -3 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta))) alpha)))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta))) alpha)))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
(* -3 (/ (* (pow alpha 2) i) beta))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (pow alpha 2) i)
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) alpha)) (/ 1 i)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ beta i)) (+ (* -1 (/ beta i)) (* -1 (/ (pow beta 2) (* alpha i))))) alpha)) (/ 1 i)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ beta i)) (+ (* -1 (/ beta i)) (* -1 (/ (pow beta 2) (* alpha i))))) alpha)) (/ 1 i)))
(* 24 (/ (pow alpha 2) i))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) alpha)) (* 24 (/ 1 i))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i))))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2)))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2)))) alpha))))
(/ (pow alpha 2) beta)
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (* -1 (/ i beta))) alpha)) (/ 1 beta)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta)))
(* -1 (+ (* -1 beta) (* -1 i)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(/ 1 i)
(+ (* -1 (/ (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i))) alpha)) (/ 1 i))
(+ (* -1 (/ (- (+ (* -1 (/ (* (+ beta i) (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i)))) alpha)) (* -1 (/ (+ beta (* 2 i)) i))) (* -1 (/ (+ beta i) i))) alpha)) (/ 1 i))
(+ (* -1 (/ (- (+ (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (- (* -1 (/ (* (pow (+ beta i) 2) (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i)))) alpha)) (* -1 (* (+ beta i) (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i)))))) alpha))) (* -1 (/ (+ beta i) i))) alpha)) (/ 1 i))
(/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
(/ (- (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
(/ (- (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
(/ (- (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))
(/ (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (pow i 2))
(/ (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (pow i 2))
(/ (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (pow i 2))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
alpha
(+ alpha i)
(+ alpha i)
(+ alpha i)
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/ (* alpha (* beta i)) (+ alpha beta))
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(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(+ alpha beta)
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
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(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ beta i)
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(/ (* i (- (+ alpha (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta)))) (pow beta 2))
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(/ (pow alpha 2) beta)
(+ (* i (+ (* 2 (/ alpha beta)) (/ alpha beta))) (/ (pow alpha 2) beta))
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(/ 1 i)
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1/16
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1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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1/16
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1/16
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i
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
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(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(/ i beta)
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* -6 (/ (pow i 2) beta))
(* (pow i 2) (- (+ (* 2 (/ alpha (* beta i))) (/ alpha (* beta i))) (+ (* 4 (/ alpha (* beta i))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i)))))))
(* (pow i 2) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* (pow i 2) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* -6 (/ (pow i 3) beta))
(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 4 (/ alpha (* beta i))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i)))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(* -6 (/ (pow i 3) (pow beta 3)))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (/ alpha (* (pow beta 3) i)))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3)))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (pow alpha 2) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 4 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (pow alpha 2) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 4 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))))
(* 2 (/ (pow i 2) beta))
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (/ alpha (* beta i)))))
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))))))
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))))))
(* 1/2 i)
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i))))
(* i (- (+ 1/2 (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(/ 2 i)
(/ (- (+ 2 (+ (/ alpha i) (/ beta i))) (* 2 (/ (+ alpha beta) i))) i)
(/ (- (+ 2 (+ (* -1 (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 2))) (+ (/ alpha i) (/ beta i)))) (* 2 (/ (+ alpha beta) i))) i)
(/ (- (+ 2 (+ (/ alpha i) (+ (/ beta i) (/ (* (pow (+ alpha beta) 2) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 3))))) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 2)))) i)
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))))) (pow i 3))) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha beta) (- (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))))))) i)) (+ (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))))) i))))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))))) (pow i 3))) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
1/16
(+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))
(+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))
(+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
i
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ i (pow beta 2))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ i beta)
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -6 (/ (pow i 2) beta))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) i)))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) i)))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(* -6 (/ (pow i 3) beta))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))))) i)) (* 6 (/ 1 beta)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))))) i)))) i)) (* 6 (/ 1 beta)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))))) i)))) i)) (* 6 (/ 1 beta)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(* -6 (/ (pow i 3) (pow beta 3)))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2))) i)) (* 6 (/ 1 (pow beta 3))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(* 2 (/ (pow i 2) beta))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) i)) (* 2 (/ 1 beta))))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta))))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta))))
(* 1/2 i)
(* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(/ 2 i)
(* -1 (/ (- (* -1 (/ (+ alpha beta) i)) (+ 2 (* -2 (/ (+ alpha beta) i)))) i))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) (/ (* (+ alpha beta) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) i)) i)) 2) i))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta))))) (/ (* (pow (+ alpha beta) 2) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) i)) i))) i)) 2) i))

Outputs
(+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))
(fma.f64 #s(literal 20 binary64) (.f64 alpha alpha) (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64)))
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (* 40 alpha)))))
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (fma.f64 (.f64 alpha #s(literal 48 binary64)) beta (.f64 #s(literal 20 binary64) (*.f64 alpha alpha))))
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha))))))
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 8 binary64) alpha (fma.f64 #s(literal 24 binary64) beta (.f64 #s(literal 40 binary64) alpha))) beta (.f64 #s(literal 20 binary64) (*.f64 alpha alpha))))
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha))))))
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 8 binary64) alpha (fma.f64 #s(literal 24 binary64) beta (.f64 #s(literal 40 binary64) alpha))) beta (.f64 #s(literal 20 binary64) (*.f64 alpha alpha))))
(- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
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(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
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(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (+ (* -1/32 (/ beta (pow i 2))) (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
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(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (+ (* -1/32 (/ beta (pow i 2))) (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
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(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(+ (* beta (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 i alpha) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 i alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 i alpha) i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (+.f64 i alpha) i) (.f64 (.f64 (+.f64 i alpha) i) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) beta (.f64 (/.f64 i (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 i alpha) i) (+.f64 i alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
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(* (pow beta 2) (- (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (/ 1/16 (pow beta 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2)))))))
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(/ (* i (+ alpha i)) (pow beta 2))
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(+ (* alpha (+ i (+ (* -3 (/ (* alpha i) beta)) (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
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(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
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(- (pow (+ beta (* 2 i)) 2) 1)
(-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) alpha (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) alpha (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) alpha (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+ beta (* 2 i))
(fma.f64 i #s(literal 2 binary64) beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (fma.f64 (/.f64 beta alpha) #s(literal 8 binary64) (fma.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal 20 binary64) (.f64 (/.f64 beta alpha) #s(literal 40 binary64))))) #s(literal 24 binary64)) (.f64 alpha alpha))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(/.f64 (.f64 #s(literal -1/32 binary64) (.f64 alpha alpha)) (*.f64 i i))
(* (pow alpha 2) (- (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal 1/256 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i)))) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
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(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
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(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 (+.f64 i beta) (/.f64 (.f64 (+.f64 i beta) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 i beta) alpha)))) (/.f64 (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (.f64 (+.f64 i beta) i)) alpha)) (*.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 i (/.f64 (.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta)) (.f64 alpha alpha)) (fma.f64 (+.f64 i beta) (/.f64 (.f64 (+.f64 i beta) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 i beta) alpha))))) (fma.f64 i (/.f64 (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (+.f64 i beta)) alpha) (fma.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (/.f64 (-.f64 (fma.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta) (.f64 (+.f64 i beta) (.f64 i i))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (.f64 (+.f64 i beta) i))) (.f64 alpha alpha)) (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 i beta) i)) (.f64 alpha alpha))))) (*.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
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(* 1/16 (/ (pow alpha 2) (pow i 2)))
(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 alpha alpha)) (*.f64 i i))
(* (pow alpha 2) (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 i i))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (+ (/ 1/16 (pow alpha 2)) (* 1/16 (/ 1 (pow i 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 i i)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1/16 binary64) (.f64 i i))))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (+ (/ 1/16 (pow alpha 2)) (* 1/16 (/ 1 (pow i 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 i i)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1/16 binary64) (.f64 i i))))) (*.f64 alpha alpha))
(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (+.f64 i beta) i (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha)) (/.f64 (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (.f64 (+.f64 i beta) i)) alpha)) (*.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 i (/.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) alpha) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (+.f64 i beta)) alpha) (fma.f64 i (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 i beta)) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64))) (+.f64 i beta)))) (fma.f64 i #s(literal 8 binary64) (.f64 beta #s(literal 4 binary64)))) (.f64 alpha alpha))))) (*.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
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alpha
(* alpha (+ 1 (/ i alpha)))
(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (/ i alpha)))
(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (/ i alpha)))
(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha)
(/ (* alpha i) (pow beta 2))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (.f64 i i) alpha) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) alpha)
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (.f64 i i) alpha) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) alpha)
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (.f64 i i) alpha) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) alpha)
(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
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(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(* i (+ beta i))
(*.f64 (+.f64 i beta) i)
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(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
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alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
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(* 24 (/ (pow alpha 2) i))
(.f64 (/.f64 (.f64 alpha alpha) i) #s(literal 24 binary64))
(* (pow alpha 2) (+ (* 8 (/ beta (* alpha i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))
(.f64 (fma.f64 (/.f64 (/.f64 beta alpha) i) #s(literal 8 binary64) (fma.f64 (/.f64 (/.f64 beta alpha) i) #s(literal 40 binary64) (/.f64 #s(literal 24 binary64) i))) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))))
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(/ (* alpha i) (pow beta 2))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (.f64 i i) alpha) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) alpha)
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (.f64 i i) alpha) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) alpha)
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (.f64 i i) alpha) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) alpha)
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 i (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))))))
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(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
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(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
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(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))
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(* 24 (pow alpha 2))
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(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 i i)) #s(literal 4 binary64) (/.f64 (.f64 (.f64 beta beta) #s(literal 20 binary64)) (.f64 i i))) #s(literal 1/256 binary64))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -3 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/256 binary64) (.f64 (/.f64 beta (.f64 i i)) #s(literal -48 binary64))))) alpha)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 i beta) (.f64 alpha alpha)))))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(* 1/16 (/ (pow alpha 2) (pow i 2)))
(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 alpha alpha)) (*.f64 i i))
(* (pow alpha 2) (+ (* -1/16 (/ (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
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(* (pow alpha 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
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(* (pow alpha 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/16 (/ 1 (pow i 2)))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 i beta) (.f64 alpha alpha)))))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
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(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 i alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 i alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(/ (* alpha i) (pow beta 2))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
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(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
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(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 i beta) (.f64 alpha alpha)))))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(* -3 (/ (pow alpha 2) beta))
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(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
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(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta))) alpha)))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
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(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta))) alpha)))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
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(* -3 (/ (* (pow alpha 2) i) beta))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))))) alpha))))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(* -1 (* i (+ (* -1 beta) (* -1 i))))
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alpha
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(* 24 (/ (pow alpha 2) i))
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(/ (* alpha i) (pow beta 2))
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(/.f64 (.f64 (.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) 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(* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))
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(/ (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 i i))) (*.f64 i i))
(/ (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 i i))) (*.f64 i i))
(/ (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 i i))) (*.f64 i i))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) i (.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (*.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
alpha
(+ alpha i)
(+.f64 i alpha)
(+ alpha i)
(+.f64 i alpha)
(+ alpha i)
(+.f64 i alpha)
(/ i (pow beta 2))
(/.f64 i (*.f64 beta beta))
(/ i (pow beta 2))
(/.f64 i (*.f64 beta beta))
(/ i (pow beta 2))
(/.f64 i (*.f64 beta beta))
(/ i (pow beta 2))
(/.f64 i (*.f64 beta beta))
(/ (* alpha i) (pow beta 2))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i)
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i)
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(- (+ (* i (- (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta)))
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(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta))))
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(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
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(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
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(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (*.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 beta alpha) i) (+.f64 beta alpha))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i)
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(- (pow (+ alpha beta) 2) 1)
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
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(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/4 binary64) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (+.f64 beta alpha)) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64)))))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/4 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (+.f64 beta alpha)) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64)))) (+.f64 beta alpha)) i)))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 i i))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) i))) i) #s(literal -1 binary64) #s(literal 4 binary64)) (.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) i))) i) #s(literal -1 binary64) #s(literal 4 binary64)) (.f64 i i))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)))
1/16
#s(literal 1/16 binary64)
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(-.f64 (fma.f64 (.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64) (neg.f64 (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (/.f64 (.f64 (.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) i))) i) #s(literal -1 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 #s(literal -4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) #s(literal -1/256 binary64))))) i) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) i) #s(literal -1 binary64) #s(literal 1/16 binary64))
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 (+.f64 (/.f64 (/.f64 alpha (.f64 beta beta)) i) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (.f64 i i))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 (+.f64 (/.f64 (/.f64 alpha (.f64 beta beta)) i) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (.f64 i i))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 (+.f64 (/.f64 (/.f64 alpha (.f64 beta beta)) i) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (.f64 i i))
(/ beta i)
(/.f64 beta i)
(/ beta i)
(/.f64 beta i)
(/ beta i)
(/.f64 beta i)
(/ beta i)
(/.f64 beta i)
(* -6 (/ (pow i 3) (pow beta 3)))
(/.f64 (*.f64 #s(literal -6 binary64) (pow.f64 i #s(literal 3 binary64))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2))) i)) (* 6 (/ 1 (pow beta 3))))))
(neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -3 binary64) (/.f64 alpha beta)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (.f64 beta beta)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) i) #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 (/.f64 (.f64 alpha alpha) beta) #s(literal 4 binary64))) (.f64 beta beta)) #s(literal -1 binary64) (/.f64 (neg.f64 alpha) (.f64 beta beta))) i) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -3 binary64) (/.f64 alpha beta)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (.f64 beta beta)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))) i) #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 (/.f64 (.f64 alpha alpha) beta) #s(literal 4 binary64))) (.f64 beta beta)) #s(literal -1 binary64) (/.f64 (neg.f64 alpha) (.f64 beta beta))) i) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -3 binary64) (/.f64 alpha beta)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (.f64 beta beta)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))) i) #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 i #s(literal 3 binary64))))
(* 2 (/ (pow i 2) beta))
(.f64 (/.f64 (.f64 i i) beta) #s(literal 2 binary64))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) i)) (* 2 (/ 1 beta))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) (/.f64 alpha beta)) i) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) (*.f64 i i))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 alpha beta) (neg.f64 (/.f64 (/.f64 (.f64 alpha alpha) beta) i))) i) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) (*.f64 i i))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 alpha beta) (neg.f64 (/.f64 (/.f64 (.f64 alpha alpha) beta) i))) i) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) (*.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2)))
(.f64 (neg.f64 i) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i)) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 beta alpha) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))) i) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) i) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta alpha (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 beta alpha) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))) (+.f64 beta alpha)) i)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)))) i) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) i) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(* -1 (/ (- (* -1 (/ (+ alpha beta) i)) (+ 2 (* -2 (/ (+ alpha beta) i)))) i))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 beta alpha) i)) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -2 binary64) #s(literal 2 binary64))) i))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) (/ (* (+ alpha beta) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) i)) i)) 2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i) (neg.f64 (.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta))))) (/ (* (pow (+ alpha beta) 2) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) i)) i))) i)) 2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i))) i))) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))

rewrite296.0ms (2.2%)

Memory

13.2MiB live, 394.0MiB allocated

Rules

5 746×	`lower-*.f32`
5 722×	`lower-*.f64`
5 004×	`lower-fma.f32`
4 990×	`lower-fma.f64`
3 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	681
0	129	596
1	624	567
2	6155	567
0	8910	556

Stop Event

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

Counts

26 → 857

Calls

Call 1

Inputs
(fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))
(-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))
(fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
(+.f64 alpha i)
(/.f64 i (*.f64 beta beta))
(*.f64 beta beta)
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
(/.f64 (+.f64 alpha i) beta)
(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))
(fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)
(/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i)
(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
(/.f64 beta i)
(/.f64 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta)
(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 20 binary64) (+.f64 alpha beta)) (+.f64 alpha beta) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)))
(fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i) (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i)) (fma.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i) (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i) (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64))) (-.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) i) (/.f64 #s(literal 1/256 binary64) i)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 alpha beta) (-.f64 (.f64 alpha beta) (.f64 (+.f64 (+.f64 alpha beta) i) i)) (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 (neg.f64 alpha) beta)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (.f64 alpha beta) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 (neg.f64 alpha) beta))))
(/.f64 (-.f64 (pow.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 (.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (.f64 alpha beta) #s(literal 3 binary64))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 alpha beta) (-.f64 (.f64 alpha beta) (.f64 (+.f64 (+.f64 alpha beta) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (.f64 alpha beta) #s(literal 3 binary64))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 (neg.f64 alpha) beta)) (pow.f64 (.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))))
(neg.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 i #s(literal 2 binary64)) beta) alpha) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 i #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 i #s(literal 2 binary64)) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (neg.f64 i) (+.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i))
(.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)))) (*.f64 i (-.f64 i (+.f64 alpha beta))))
(.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 alpha beta) i) (-.f64 (.f64 (+.f64 alpha beta) i) (*.f64 i i)) (pow.f64 i #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) (pow.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i) (pow.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)))
(.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (.f64 (neg.f64 i) (+.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) (+.f64 (+.f64 alpha beta) i)))
(pow.f64 (/.f64 i (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) (+.f64 (+.f64 alpha beta) i)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i)) (-.f64 (-.f64 (.f64 i #s(literal 2 binary64)) beta) alpha))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i)) (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (.f64 (.f64 i i) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) i)) (fma.f64 (.f64 i #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 i #s(literal 2 binary64)) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) i) i))
(/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) (+.f64 (+.f64 alpha beta) i))
(/.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (+.f64 alpha beta) i))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (.f64 i #s(literal 2 binary64)) beta) alpha) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (.f64 (.f64 i i) #s(literal 4 binary64))) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 i #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 i #s(literal 2 binary64)) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
(/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) i)
(/.f64 (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (-.f64 (-.f64 (*.f64 i #s(literal 2 binary64)) beta) alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (.f64 (*.f64 i i) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (.f64 i #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 i #s(literal 2 binary64)) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (neg.f64 i) (+.f64 (+.f64 alpha beta) i)))
(/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -1 binary64)))

eval751.0ms (5.6%)

Memory: -79.7MiB live, 738.9MiB allocated
Compiler: Compiled 104 348 to 6 928 computations (93.4% saved)

prune678.0ms (5.1%)

Memory

-37.1MiB live, 507.7MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1 951	19	1 970
Fresh	14	12	26
Picked	4	1	5
Done	0	1	1
Total	1 969	33	2 002

Accuracy

99.4%

Counts

2 002 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
	35.1%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 beta beta)) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	17.4%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
	12.3%	(/.f64 (/.f64 (.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	35.1%	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	1.6%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	35.1%	(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) (+.f64 (+.f64 alpha beta) i)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	35.0%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/.f64 (.f64 (+.f64 i beta) i) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	11.6%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.3%	(/.f64 (/.f64 #s(approx (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	31.9%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #s(approx (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	7.9%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	35.2%	(/.f64 (.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i))) i) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.6%	(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	11.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
▶	63.4%	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
	20.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta))
	19.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta)))
	26.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
▶	25.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
	20.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 (/.f64 i alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i)))
	10.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (fma.f64 (.f64 #s(literal -6 binary64) (/.f64 (.f64 i i) beta)) i (.f64 i i))) (.f64 beta beta)))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	20.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i alpha) (/.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 beta i))))
	20.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
✓	12.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	19.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 beta i) beta)) #s(literal -1 binary64)))))
	26.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 (/.f64 (+.f64 alpha i) beta) i) (pow.f64 beta #s(literal -1 binary64))))
	25.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	10.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 i beta)))
▶	12.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
✓	76.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 756 to 919 computations (47.7% saved)

simplify156.0ms (1.2%)

Memory

9.6MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	320	(.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64))
cost-diff	384	(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
cost-diff	0	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	768	(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
cost-diff	0	(/.f64 i beta)
cost-diff	0	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
cost-diff	384	(/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(*.f64 i i)
cost-diff	0	#s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
cost-diff	0	#s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))))
cost-diff	0	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
cost-diff	512	(-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))
cost-diff	704	(fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))

Rules

7 738×	`lower-fma.f32`
7 726×	`lower-fma.f64`
4 766×	`lower-*.f32`
4 746×	`lower-*.f64`
3 098×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	917
0	135	880
1	316	875
2	939	875
3	4860	840
4	6268	807
0	8029	783

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
#s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))))
(-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))
(fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64))
(/.f64 (.f64 beta beta) (.f64 i i))
(*.f64 beta beta)
beta
(*.f64 i i)
i
#s(literal 1/16 binary64)
(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))
(.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 beta beta) #s(literal 20 binary64))))
#s(literal 1/256 binary64)
(fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
(fma.f64 beta beta #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 beta beta) #s(literal 20 binary64))
#s(literal 20 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))
(/.f64 (.f64 i i) (.f64 beta beta))
(*.f64 i i)
i
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
(/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))
#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
(/.f64 i beta)
i
beta
(/.f64 beta i)
(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))
(+.f64 i alpha)
i
alpha
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
beta
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(+.f64 (+.f64 alpha beta) i)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 1 binary64)
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64))
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(+.f64 (+.f64 alpha beta) i)
(+.f64 alpha beta)
alpha
beta
i
#s(literal 1 binary64)
(.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(*.f64 alpha beta)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)

Outputs
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (fma.f64 (/.f64 #s(literal -1/256 binary64) (.f64 i i)) (fma.f64 (.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64)) (*.f64 (fma.f64 (/.f64 beta i) (/.f64 beta i) #s(literal 1 binary64)) #s(literal 1/16 binary64)))))
#s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))))
#s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (fma.f64 (/.f64 #s(literal -1/256 binary64) (.f64 i i)) (fma.f64 (.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64)) (*.f64 (fma.f64 (/.f64 beta i) (/.f64 beta i) #s(literal 1 binary64)) #s(literal 1/16 binary64))))
(-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))
(fma.f64 (/.f64 #s(literal -1/256 binary64) (.f64 i i)) (fma.f64 (.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64)) (*.f64 (fma.f64 (/.f64 beta i) (/.f64 beta i) #s(literal 1 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (/.f64 beta i) (/.f64 beta i) #s(literal 1 binary64)) #s(literal 1/16 binary64))
(/.f64 (.f64 beta beta) (.f64 i i))
(*.f64 (/.f64 (/.f64 beta i) i) beta)
(*.f64 beta beta)
beta
(*.f64 i i)
i
#s(literal 1/16 binary64)
(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))
(.f64 (/.f64 (/.f64 #s(literal 1/256 binary64) i) i) (fma.f64 (.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64)))
(.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 beta beta) #s(literal 20 binary64))))
(.f64 (fma.f64 (.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64)) #s(literal 1/256 binary64))
#s(literal 1/256 binary64)
(fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
(fma.f64 (*.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64))
(fma.f64 beta beta #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 beta beta) #s(literal 20 binary64))
#s(literal 20 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (*.f64 (/.f64 (/.f64 i beta) beta) i)))
#s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))
#s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (*.f64 (/.f64 (/.f64 i beta) beta) i))
(/.f64 (.f64 i i) (.f64 beta beta))
(*.f64 (/.f64 (/.f64 i beta) beta) i)
(*.f64 i i)
i
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
(/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))
#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
(/.f64 i beta)
i
beta
(/.f64 beta i)
(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i)
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
(.f64 (.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) i)
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i))
(+.f64 i alpha)
(+.f64 alpha i)
i
alpha
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
#s(literal 2 binary64)
(+.f64 alpha beta)
(+.f64 beta alpha)
beta
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(+.f64 (+.f64 alpha beta) i)
(+.f64 (+.f64 beta alpha) i)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
(*.f64 #s(literal 2 binary64) i)
#s(literal 1 binary64)
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 i (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 beta i) (+.f64 alpha i)))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(.f64 (.f64 (/.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64))
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(*.f64 (+.f64 (+.f64 beta alpha) i) i)
(+.f64 (+.f64 alpha beta) i)
(+.f64 (+.f64 beta alpha) i)
(+.f64 alpha beta)
(+.f64 beta alpha)
alpha
beta
i
#s(literal 1 binary64)
(.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (.f64 (+.f64 beta i) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
#s(literal 2 binary64)
(/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (+.f64 beta i) (+.f64 alpha i)))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(*.f64 (+.f64 beta i) (+.f64 alpha i))
(*.f64 alpha beta)
(*.f64 beta alpha)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
(*.f64 #s(literal 2 binary64) i)

localize293.0ms (2.2%)

Memory

-3.8MiB live, 345.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4101452323474126	(.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
accuracy	4.9154651679327275	(/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
accuracy	37.01939780362886	(/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))
accuracy	38.179576557452265	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.14453125	(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
accuracy	36.79237951356662	(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
accuracy	38.179576557452265	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	39.90861972429418	#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))
accuracy	0	(/.f64 beta i)
accuracy	0.16796875	(/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))
accuracy	1.281816542351573	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
accuracy	47.021195262662694	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
accuracy	0	(*.f64 beta beta)
accuracy	0.8005892586954656	#s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))
accuracy	19.585066743343116	(/.f64 (.f64 i i) (.f64 beta beta))
accuracy	47.021195262662694	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
accuracy	4.914099647995214	(-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))
accuracy	15.734857570861607	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
accuracy	19.52820276414609	(/.f64 (.f64 beta beta) (.f64 i i))
accuracy	19.978335355965953	(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))

Samples

205.0ms

256×

valid

Compiler

Compiled 793 to 78 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 82.0ms (48.6% of total)

ival-div: 41.0ms (24.3% of total)

ival-add: 37.0ms (21.9% of total)

ival-sub: 5.0ms (3% of total)

ival-pow2: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series141.0ms (1.1%)

Memory

40.5MiB live, 349.0MiB allocated

Counts

28 → 864

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (patch (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))) (patch (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))))) (patch #s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))) (patch #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))) #<representation binary64>) () ())
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Outputs
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Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	inf	((+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20)) (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ alpha i) beta) (/ beta i)) (* i i) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) 1) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/ (* beta beta) (* i i)) (/ (* i i) (* beta beta)) (/ beta i) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))) (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)))))
11.0ms	i	@	0	((+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20)) (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ alpha i) beta) (/ beta i)) (* i i) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) 1) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/ (* beta beta) (* i i)) (/ (* i i) (* beta beta)) (/ beta i) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))) (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)))))
7.0ms	beta	@	0	((+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20)) (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ alpha i) beta) (/ beta i)) (* i i) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) 1) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/ (* beta beta) (* i i)) (/ (* i i) (* beta beta)) (/ beta i) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))) (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)))))
7.0ms	beta	@	-inf	((+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20)) (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ alpha i) beta) (/ beta i)) (* i i) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) 1) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/ (* beta beta) (* i i)) (/ (* i i) (* beta beta)) (/ beta i) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))) (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)))))
5.0ms	i	@	inf	((+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20)) (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ alpha i) beta) (/ beta i)) (* i i) (* beta beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (* (* (+ (+ alpha beta) i) i) 1) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/ (* beta beta) (* i i)) (/ (* i i) (* beta beta)) (/ beta i) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))) (/ (* (* (+ (+ alpha beta) i) i) 1) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta))))) (* (+ (* i 2) (+ alpha beta)) (/ (+ (* i 2) (+ alpha beta)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)))))

simplify343.0ms (2.6%)

Memory

-32.4MiB live, 488.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 030×	`lower-*.f64`
6 030×	`lower-*.f32`
5 772×	`lower-fma.f64`
5 772×	`lower-fma.f32`
5 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2464	51128
0	8414	47119

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 860

Calls

Call 1

Inputs
-4
(- (* 24 (pow beta 2)) 4)
(- (* 24 (pow beta 2)) 4)
(- (* 24 (pow beta 2)) 4)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (* (+ alpha i) (* (+ (* 4 alpha) (* 8 i)) (+ (* alpha i) (pow i 2))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (+ (* -1/32 (/ beta (pow i 2))) (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(- (+ 1/16 (+ (* 1/16 (/ (pow alpha 2) (pow i 2))) (* beta (- (+ (* -1/32 (/ beta (pow i 2))) (* 1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) (* 1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (+ alpha (* 2 i)) (* i (+ alpha i)))
(+ (* -1 (* beta (+ (/ 1 (* i (+ alpha i))) (/ alpha (* (pow i 2) (+ alpha i)))))) (+ (/ 2 (+ alpha i)) (/ alpha (* i (+ alpha i)))))
(+ (* beta (- (/ (* beta (+ (/ 1 (* i (+ alpha i))) (/ alpha (* (pow i 2) (+ alpha i))))) i) (+ (/ 1 (* i (+ alpha i))) (/ alpha (* (pow i 2) (+ alpha i)))))) (+ (/ 2 (+ alpha i)) (/ alpha (* i (+ alpha i)))))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
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(/ (pow (+ alpha (* 2 i)) 2) (* i (+ alpha i)))
(+ (* beta (- (+ (* 2 (/ alpha (* i (+ alpha i)))) (* 4 (/ 1 (+ alpha i)))) (/ (pow (+ alpha (* 2 i)) 2) (* (pow i 2) (+ alpha i))))) (/ (pow (+ alpha (* 2 i)) 2) (* i (+ alpha i))))
(+ (* beta (- (+ (* 2 (/ alpha (* i (+ alpha i)))) (+ (* 4 (/ 1 (+ alpha i))) (* beta (- (/ (pow (+ alpha (* 2 i)) 2) (* (pow i 3) (+ alpha i))) (+ (* 2 (/ alpha (* (pow i 2) (+ alpha i)))) (* 3 (/ 1 (* i (+ alpha i))))))))) (/ (pow (+ alpha (* 2 i)) 2) (* (pow i 2) (+ alpha i))))) (/ (pow (+ alpha (* 2 i)) 2) (* i (+ alpha i))))
(+ (* beta (- (+ (* 2 (/ alpha (* i (+ alpha i)))) (+ (* 4 (/ 1 (+ alpha i))) (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (* (pow i 3) (+ alpha i)))) (* 3 (/ 1 (* (pow i 2) (+ alpha i))))) (/ (pow (+ alpha (* 2 i)) 2) (* (pow i 4) (+ alpha i))))) (/ (pow (+ alpha (* 2 i)) 2) (* (pow i 3) (+ alpha i)))) (+ (* 2 (/ alpha (* (pow i 2) (+ alpha i)))) (* 3 (/ 1 (* i (+ alpha i))))))))) (/ (pow (+ alpha (* 2 i)) 2) (* (pow i 2) (+ alpha i))))) (/ (pow (+ alpha (* 2 i)) 2) (* i (+ alpha i))))
(* 24 (pow beta 2))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) beta) (/ (* (pow i 2) (+ alpha i)) beta))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (+ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow i 2) (+ alpha i))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2))))))
(* (pow beta 2) (- (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (/ 1/16 (pow beta 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2)))))))
(* (pow beta 2) (- (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (/ 1/16 (pow beta 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta i)
(* beta (+ i (/ (* i (+ alpha i)) beta)))
(* beta (+ i (/ (* i (+ alpha i)) beta)))
(* beta (+ i (/ (* i (+ alpha i)) beta)))
(* 3/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* 3/32 (/ 1 (pow i 2))) (* 1/64 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 3/32 (/ 1 (pow i 2))) (* 1/64 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 3/32 (/ 1 (pow i 2))) (* 1/64 (/ 1 (* (pow beta 2) (pow i 2))))))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(+ alpha i)
(- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
(- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 3))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))
(/ 1 i)
(+ (/ 1 beta) (/ 1 i))
(+ (* -1 (/ (+ alpha i) (pow beta 2))) (+ (/ 1 beta) (/ 1 i)))
(- (+ (/ 1 beta) (+ (/ 1 i) (/ (pow (+ alpha i) 2) (pow beta 3)))) (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ 1 (+ alpha i))
(- (+ (* 2 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (/ alpha (* beta (+ alpha i))))) (/ i (* beta (+ alpha i))))
(- (+ (* -1 (/ (* i (- (+ (* 2 (/ i (+ alpha i))) (/ alpha (+ alpha i))) (/ i (+ alpha i)))) (pow beta 2))) (+ (* 2 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (/ alpha (* beta (+ alpha i)))))) (/ i (* beta (+ alpha i))))
(- (+ (* 2 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (+ (/ alpha (* beta (+ alpha i))) (/ (* (pow i 2) (- (+ (* 2 (/ i (+ alpha i))) (/ alpha (+ alpha i))) (/ i (+ alpha i)))) (pow beta 3))))) (+ (/ i (* beta (+ alpha i))) (/ (* i (- (+ (* 2 (/ i (+ alpha i))) (/ alpha (+ alpha i))) (/ i (+ alpha i)))) (pow beta 2))))
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(/ beta (+ alpha i))
(* beta (- (+ (* 2 (/ alpha (* beta (+ alpha i)))) (+ (* 4 (/ i (* beta (+ alpha i)))) (/ 1 (+ alpha i)))) (/ i (* beta (+ alpha i)))))
(* beta (- (+ (* 2 (/ alpha (* beta (+ alpha i)))) (+ (* 4 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (/ (pow (+ alpha (* 2 i)) 2) (* (pow beta 2) (+ alpha i)))))) (+ (/ i (* beta (+ alpha i))) (/ (* i (- (+ (* 2 (/ alpha (+ alpha i))) (* 4 (/ i (+ alpha i)))) (/ i (+ alpha i)))) (pow beta 2)))))
(* beta (- (+ (* -1 (/ (* i (- (/ (pow (+ alpha (* 2 i)) 2) (+ alpha i)) (* i (- (+ (* 2 (/ alpha (+ alpha i))) (* 4 (/ i (+ alpha i)))) (/ i (+ alpha i)))))) (pow beta 3))) (+ (* 2 (/ alpha (* beta (+ alpha i)))) (+ (* 4 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (/ (pow (+ alpha (* 2 i)) 2) (* (pow beta 2) (+ alpha i))))))) (+ (/ i (* beta (+ alpha i))) (/ (* i (- (+ (* 2 (/ alpha (+ alpha i))) (* 4 (/ i (+ alpha i)))) (/ i (+ alpha i)))) (pow beta 2)))))
(* 24 (pow beta 2))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ (+ alpha i) beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* beta i)
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))
(* 3/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* 3/32 (/ 1 (pow i 2))) (* 1/64 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 3/32 (/ 1 (pow i 2))) (* 1/64 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 3/32 (/ 1 (pow i 2))) (* 1/64 (/ 1 (* (pow beta 2) (pow i 2))))))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(* -1 (+ (* -1 alpha) (* -1 i)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(/ 1 i)
(+ (* -1 (/ (- (* -1 (/ (+ alpha (* 2 i)) i)) (* -1 (/ (+ alpha i) i))) beta)) (/ 1 i))
(+ (* -1 (/ (- (+ (* -1 (/ (* (+ alpha i) (- (* -1 (/ (+ alpha (* 2 i)) i)) (* -1 (/ (+ alpha i) i)))) beta)) (* -1 (/ (+ alpha (* 2 i)) i))) (* -1 (/ (+ alpha i) i))) beta)) (/ 1 i))
(+ (* -1 (/ (- (+ (* -1 (/ (+ alpha (* 2 i)) i)) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha i) 2) (- (* -1 (/ (+ alpha (* 2 i)) i)) (* -1 (/ (+ alpha i) i)))) beta)) (* -1 (* (+ alpha i) (- (* -1 (/ (+ alpha (* 2 i)) i)) (* -1 (/ (+ alpha i) i)))))) beta))) (* -1 (/ (+ alpha i) i))) beta)) (/ 1 i))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i)))
(+ (* alpha (- (+ (* 2 (/ beta (* i (+ beta i)))) (* 4 (/ 1 (+ beta i)))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i))))
(+ (* alpha (- (+ (* 2 (/ beta (* i (+ beta i)))) (+ (* 4 (/ 1 (+ beta i))) (* alpha (- (/ (pow (+ beta (* 2 i)) 2) (* (pow i 3) (+ beta i))) (+ (* 2 (/ beta (* (pow i 2) (+ beta i)))) (* 3 (/ 1 (* i (+ beta i))))))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i))))
(+ (* alpha (- (+ (* 2 (/ beta (* i (+ beta i)))) (+ (* 4 (/ 1 (+ beta i))) (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (* (pow i 3) (+ beta i)))) (* 3 (/ 1 (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 4) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 3) (+ beta i)))) (+ (* 2 (/ beta (* (pow i 2) (+ beta i)))) (* 3 (/ 1 (* i (+ beta i))))))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2))))))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (* alpha i) (pow beta 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* alpha i) (pow beta 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* alpha (+ beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha i)
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(* alpha (+ i (/ (* i (+ beta i)) alpha)))
(+ beta i)
(- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
(- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
(- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 3))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))
(/ 1 i)
(+ (/ 1 alpha) (/ 1 i))
(+ (* -1 (/ (+ beta i) (pow alpha 2))) (+ (/ 1 alpha) (/ 1 i)))
(- (+ (/ 1 alpha) (+ (/ 1 i) (/ (pow (+ beta i) 2) (pow alpha 3)))) (+ (/ beta (pow alpha 2)) (/ i (pow alpha 2))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ 1 (+ beta i))
(- (+ (* 2 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (/ beta (* alpha (+ beta i))))) (/ i (* alpha (+ beta i))))
(- (+ (* -1 (/ (* i (- (+ (* 2 (/ i (+ beta i))) (/ beta (+ beta i))) (/ i (+ beta i)))) (pow alpha 2))) (+ (* 2 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (/ beta (* alpha (+ beta i)))))) (/ i (* alpha (+ beta i))))
(- (+ (* 2 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (+ (/ beta (* alpha (+ beta i))) (/ (* (pow i 2) (- (+ (* 2 (/ i (+ beta i))) (/ beta (+ beta i))) (/ i (+ beta i)))) (pow alpha 3))))) (+ (/ i (* alpha (+ beta i))) (/ (* i (- (+ (* 2 (/ i (+ beta i))) (/ beta (+ beta i))) (/ i (+ beta i)))) (pow alpha 2))))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(/ alpha (+ beta i))
(* alpha (- (+ (* 2 (/ beta (* alpha (+ beta i)))) (+ (* 4 (/ i (* alpha (+ beta i)))) (/ 1 (+ beta i)))) (/ i (* alpha (+ beta i)))))
(* alpha (- (+ (* 2 (/ beta (* alpha (+ beta i)))) (+ (* 4 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (/ (pow (+ beta (* 2 i)) 2) (* (pow alpha 2) (+ beta i)))))) (+ (/ i (* alpha (+ beta i))) (/ (* i (- (+ (* 2 (/ beta (+ beta i))) (* 4 (/ i (+ beta i)))) (/ i (+ beta i)))) (pow alpha 2)))))
(* alpha (- (+ (* -1 (/ (* i (- (/ (pow (+ beta (* 2 i)) 2) (+ beta i)) (* i (- (+ (* 2 (/ beta (+ beta i))) (* 4 (/ i (+ beta i)))) (/ i (+ beta i)))))) (pow alpha 3))) (+ (* 2 (/ beta (* alpha (+ beta i)))) (+ (* 4 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (/ (pow (+ beta (* 2 i)) 2) (* (pow alpha 2) (+ beta i))))))) (+ (/ i (* alpha (+ beta i))) (/ (* i (- (+ (* 2 (/ beta (+ beta i))) (* 4 (/ i (+ beta i)))) (/ i (+ beta i)))) (pow alpha 2)))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ alpha beta)
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))
(* -1 (+ (* -1 beta) (* -1 i)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(/ 1 i)
(+ (* -1 (/ (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i))) alpha)) (/ 1 i))
(+ (* -1 (/ (- (+ (* -1 (/ (* (+ beta i) (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i)))) alpha)) (* -1 (/ (+ beta (* 2 i)) i))) (* -1 (/ (+ beta i) i))) alpha)) (/ 1 i))
(+ (* -1 (/ (- (+ (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (- (* -1 (/ (* (pow (+ beta i) 2) (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i)))) alpha)) (* -1 (* (+ beta i) (- (* -1 (/ (+ beta (* 2 i)) i)) (* -1 (/ (+ beta i) i)))))) alpha))) (* -1 (/ (+ beta i) i))) alpha)) (/ 1 i))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ -1 (+ (* -1 beta) (* -1 i)))
(- (* -1 (/ (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))
(- (* -1 (/ (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (+ (/ beta (+ (* -1 beta) (* -1 i))) (/ (* i (* (+ beta i) (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))))) (* alpha (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))))) (* alpha (pow (+ (* -1 beta) (* -1 i)) 2)))) (/ (* i (* (+ beta i) (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i))))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(* -1 (/ alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 (/ (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (/ (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))) (/ (* i (* (+ beta i) (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))))) (+ (* -1 beta) (* -1 i)))) alpha))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (/ (* i (* (+ beta i) (- (/ (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))) (/ (* i (* (+ beta i) (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))))) (+ (* -1 beta) (* -1 i)))))) (* alpha (+ (* -1 beta) (* -1 i)))) (/ (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))) (/ (* i (* (+ beta i) (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))))) (+ (* -1 beta) (* -1 i)))) alpha))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))))
(/ (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/ (- (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/ (- (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/ (- (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(/ alpha beta)
(+ (/ alpha beta) (/ i beta))
(+ (/ alpha beta) (/ i beta))
(+ (/ alpha beta) (/ i beta))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ (* alpha (* beta i)) (+ alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
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(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(* alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(* i (+ alpha beta))
(* i (+ alpha (+ beta i)))
(* i (+ alpha (+ beta i)))
(* i (+ alpha (+ beta i)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(/ (* alpha beta) (+ alpha beta))
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(+ (* i (- (+ 1 (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(+ (* i (- (+ 1 (* i (- (+ (* -2 (/ (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta))) (/ 1 (+ alpha beta))) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(/ 1 i)
(/ (+ 1 (/ i (+ alpha beta))) i)
(/ (+ 1 (* i (+ (* -1 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))) i)
(/ (+ 1 (* i (+ (* i (- (/ i (pow (+ alpha beta) 3)) (/ 1 (pow (+ alpha beta) 2)))) (/ 1 (+ alpha beta))))) i)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/ (+ alpha beta) (* alpha beta))
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(/ (* alpha (* beta i)) (+ alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(/ (pow (+ alpha beta) 2) (* alpha beta))
(+ (* i (- (* 4 (/ (+ alpha beta) (* alpha beta))) (/ (pow (+ alpha beta) 3) (* (pow alpha 2) (pow beta 2))))) (/ (pow (+ alpha beta) 2) (* alpha beta)))
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1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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1/16
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(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(/ i beta)
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
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(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(* 1/2 i)
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i))))
(* i (- (+ 1/2 (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(/ 2 i)
(/ (- (+ 2 (+ (/ alpha i) (/ beta i))) (* 2 (/ (+ alpha beta) i))) i)
(/ (- (+ 2 (+ (* -1 (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 2))) (+ (/ alpha i) (/ beta i)))) (* 2 (/ (+ alpha beta) i))) i)
(/ (- (+ 2 (+ (/ alpha i) (+ (/ beta i) (/ (* (pow (+ alpha beta) 2) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 3))))) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 2)))) i)
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(/ 2 i)
(/ (- (+ 2 (+ (/ alpha i) (/ beta i))) (* 2 (/ (+ alpha beta) i))) i)
(/ (- (+ 2 (+ (* -1 (/ (+ (* 2 (* alpha beta)) (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta))))) (pow i 2))) (+ (/ alpha i) (/ beta i)))) (* 2 (/ (+ alpha beta) i))) i)
(/ (- (+ 2 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 2 (* alpha beta)) (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta))))))) (* alpha (* beta (- (+ alpha beta) (* 2 (+ alpha beta)))))) (pow i 3))) (+ (/ alpha i) (/ beta i)))) (+ (* 2 (/ (* alpha beta) (pow i 2))) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) (pow i 2))))) i)
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
4
(- (+ 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 4 (/ (* alpha beta) (pow i 2))))
(- (+ 4 (+ (* -1 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))) (pow i 3))) (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 4 (/ (* alpha beta) (pow i 2))))
(- (+ 4 (+ (* -1 (/ (+ (* -1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta))))) (* alpha (* beta (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))))) (pow i 4))) (/ (pow (+ alpha beta) 2) (pow i 2)))) (+ (* 4 (/ (* alpha beta) (pow i 2))) (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))) (pow i 3))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))))) (pow i 3))) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha beta) (- (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))))))) i)) (+ (* -1/16 (* alpha (* beta (+ alpha beta)))) (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))))) i))))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))))) (pow i 3))) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
(- (+ 1/16 (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ i beta)
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ beta i)
(/ beta i)
(/ beta i)
(/ beta i)
(* 1/2 i)
(* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(/ 2 i)
(* -1 (/ (- (* -1 (/ (+ alpha beta) i)) (+ 2 (* -2 (/ (+ alpha beta) i)))) i))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) (/ (* (+ alpha beta) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) i)) i)) 2) i))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta))))) (/ (* (pow (+ alpha beta) 2) (- (* -1 (+ alpha beta)) (* -2 (+ alpha beta)))) i)) i))) i)) 2) i))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ 2 i)
(* -1 (/ (- (* -1 (/ (- (+ alpha beta) (* 2 (+ alpha beta))) i)) 2) i))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ beta (+ (* -2 (/ (* alpha beta) i)) (* -1 (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) i))))) (* 2 (+ alpha beta))) i)) 2) i))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ beta (* -1 (/ (- (+ (/ (* alpha (* beta (- (+ alpha beta) (* 2 (+ alpha beta))))) i) (/ (* (+ alpha beta) (+ (* -2 (* alpha beta)) (* -1 (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta))))))) i)) (+ (* -2 (* alpha beta)) (* -1 (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta))))))) i)))) (* 2 (+ alpha beta))) i)) 2) i))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
4
(- (+ 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 4 (/ (* alpha beta) (pow i 2))))
(- (+ 4 (+ (* -1 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))) (pow i 3))) (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 4 (/ (* alpha beta) (pow i 2))))
(- (+ 4 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))) i)) (/ (* alpha (* beta (- (pow (+ alpha beta) 2) (* 4 (* alpha beta))))) i)) (* -1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))))) (pow i 3))) (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 4 (/ (* alpha beta) (pow i 2))))

Outputs
-4
#s(literal -4 binary64)
(- (* 24 (pow beta 2)) 4)
(fma.f64 (*.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64))
(- (* 24 (pow beta 2)) 4)
(fma.f64 (*.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64))
(- (* 24 (pow beta 2)) 4)
(fma.f64 (*.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64))
(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(.f64 (/.f64 i (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (+.f64 alpha i) i) (+.f64 alpha i)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+ (* beta (- (+ (/ (* (+ alpha i) (+ (* alpha i) (pow i 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (* (+ (* alpha i) (pow i 2)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 alpha i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 alpha i) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 alpha i) i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (+.f64 alpha i) i) (.f64 (.f64 (+.f64 alpha i) i) (fma.f64 (fma.f64 alpha #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) beta (.f64 (/.f64 i (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 alpha i) i) (+.f64 alpha i)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(* (pow beta 2) (- (+ (* 1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* 1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (/ 1/16 (pow beta 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* 1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (* 1/32 (/ 1 (pow i 2)))))))
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(/ (* i (+ alpha i)) (pow beta 2))
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(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
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(- (+ (* 2 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (+ (/ alpha (* beta (+ alpha i))) (/ (* (pow i 2) (- (+ (* 2 (/ i (+ alpha i))) (/ alpha (+ alpha i))) (/ i (+ alpha i)))) (pow beta 3))))) (+ (/ i (* beta (+ alpha i))) (/ (* i (- (+ (* 2 (/ i (+ alpha i))) (/ alpha (+ alpha i))) (/ i (+ alpha i)))) (pow beta 2))))
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(* i (+ alpha i))
(*.f64 (+.f64 alpha i) i)
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
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(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
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(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
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(/ beta (+ alpha i))
(/.f64 beta (+.f64 alpha i))
(* beta (- (+ (* 2 (/ alpha (* beta (+ alpha i)))) (+ (* 4 (/ i (* beta (+ alpha i)))) (/ 1 (+ alpha i)))) (/ i (* beta (+ alpha i)))))
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(* beta (- (+ (* 2 (/ alpha (* beta (+ alpha i)))) (+ (* 4 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (/ (pow (+ alpha (* 2 i)) 2) (* (pow beta 2) (+ alpha i)))))) (+ (/ i (* beta (+ alpha i))) (/ (* i (- (+ (* 2 (/ alpha (+ alpha i))) (* 4 (/ i (+ alpha i)))) (/ i (+ alpha i)))) (pow beta 2)))))
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(* beta (- (+ (* -1 (/ (* i (- (/ (pow (+ alpha (* 2 i)) 2) (+ alpha i)) (* i (- (+ (* 2 (/ alpha (+ alpha i))) (* 4 (/ i (+ alpha i)))) (/ i (+ alpha i)))))) (pow beta 3))) (+ (* 2 (/ alpha (* beta (+ alpha i)))) (+ (* 4 (/ i (* beta (+ alpha i)))) (+ (/ 1 (+ alpha i)) (/ (pow (+ alpha (* 2 i)) 2) (* (pow beta 2) (+ alpha i))))))) (+ (/ i (* beta (+ alpha i))) (/ (* i (- (+ (* 2 (/ alpha (+ alpha i))) (* 4 (/ i (+ alpha i)))) (/ i (+ alpha i)))) (pow beta 2)))))
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(* 24 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal 24 binary64))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 4 binary64) (.f64 beta beta))) (*.f64 beta beta))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 4 binary64) (.f64 beta beta))) (*.f64 beta beta))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 4 binary64) (.f64 beta beta))) (*.f64 beta beta))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(/.f64 (.f64 #s(literal -1/32 binary64) (.f64 beta beta)) (*.f64 i i))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 beta beta)) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (/.f64 #s(literal 1/32 binary64) (.f64 i i)))) (.f64 beta beta))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
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(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 beta beta)) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (/.f64 #s(literal 1/32 binary64) (.f64 i i)))) (.f64 beta beta))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 alpha i) (.f64 beta beta)))))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ alpha i))) (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2)))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* (+ (* -1 alpha) (* -1 i)) (+ (* alpha i) (pow i 2))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(* -1/32 (/ (pow beta 2) (pow i 2)))
(/.f64 (.f64 #s(literal -1/32 binary64) (.f64 beta beta)) (*.f64 i i))
(* (pow beta 2) (- (* -1 (/ (- (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow alpha 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))))) beta)) (* 1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) (* 1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 alpha i) (.f64 beta beta)))))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
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(/ (* i (+ alpha i)) (pow beta 2))
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(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(pow beta 2)
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(pow beta 2)
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(pow beta 2)
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(pow beta 2)
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(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 alpha i) (.f64 beta beta)))))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(* beta i)
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(* -1 (/ beta (+ (* -1 alpha) (* -1 i))))
(/.f64 (neg.f64 beta) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))
(* -1 (* beta (+ (* -1 (/ (- (* -2 (/ (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) (/ (* i (+ alpha i)) (pow (+ (* -1 alpha) (* -1 i)) 2))) beta)) (/ 1 (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 #s(literal -1 binary64) (+.f64 alpha i))) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 i) (+.f64 alpha i)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 alpha i)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -2 (/ (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))) (/ (* i (* (+ alpha i) (- (* -2 (/ (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) (/ (* i (+ alpha i)) (pow (+ (* -1 alpha) (* -1 i)) 2))))) (+ (* -1 alpha) (* -1 i)))) beta))) (/ (* i (+ alpha i)) (pow (+ (* -1 alpha) (* -1 i)) 2))) beta)) (/ 1 (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 #s(literal -1 binary64) (+.f64 alpha i))) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 alpha i))) (/.f64 (.f64 (.f64 (+.f64 alpha i) i) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 #s(literal -1 binary64) (+.f64 alpha i))) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 i) (+.f64 alpha i)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 alpha i)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 alpha i)))) beta))) (/.f64 (.f64 (+.f64 alpha i) i) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 alpha i)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 alpha i)))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -2 (/ (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (/ (* i (* (+ alpha i) (- (/ (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))) (/ (* i (* (+ alpha i) (- (* -2 (/ (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) (/ (* i (+ alpha i)) (pow (+ (* -1 alpha) (* -1 i)) 2))))) (+ (* -1 alpha) (* -1 i)))))) (* beta (+ (* -1 alpha) (* -1 i)))) (/ (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))) (/ (* i (* (+ alpha i) (- (* -2 (/ (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) (/ (* i (+ alpha i)) (pow (+ (* -1 alpha) (* -1 i)) 2))))) (+ (* -1 alpha) (* -1 i)))) beta))) (/ (* i (+ alpha i)) (pow (+ (* -1 alpha) (* -1 i)) 2))) beta)) (/ 1 (+ (* -1 alpha) (* -1 i))))))
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(/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(.f64 (/.f64 i (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (+.f64 i beta) i) (+.f64 i beta)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+ (* alpha (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow i 2)) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(fma.f64 (fma.f64 (/.f64 (+.f64 i beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 i beta) i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 (+.f64 i beta) (.f64 i i)) (.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 i beta) i) (.f64 (.f64 (+.f64 i beta) i) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (.f64 (/.f64 i (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (+.f64 i beta) i) (+.f64 i beta)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* i (* (+ beta i) (* (+ (* beta i) (pow i 2)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow i 2)) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow i 2)) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(- (pow (+ beta (* 2 i)) 2) 1)
(-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha) alpha (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha) alpha (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+ beta (* 2 i))
(fma.f64 i #s(literal 2 binary64) beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (.f64 (/.f64 (.f64 i i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (+ beta (* 2 i)) (* i (+ beta i)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
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(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i)))
(/.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) i) (+.f64 i beta))
(+ (* alpha (- (+ (* 2 (/ beta (* i (+ beta i)))) (* 4 (/ 1 (+ beta i)))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i))))
(fma.f64 (-.f64 (fma.f64 (/.f64 beta (.f64 (+.f64 i beta) i)) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 i beta))) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 i beta) (*.f64 i i)))) alpha (/.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) i) (+.f64 i beta)))
(+ (* alpha (- (+ (* 2 (/ beta (* i (+ beta i)))) (+ (* 4 (/ 1 (+ beta i))) (* alpha (- (/ (pow (+ beta (* 2 i)) 2) (* (pow i 3) (+ beta i))) (+ (* 2 (/ beta (* (pow i 2) (+ beta i)))) (* 3 (/ 1 (* i (+ beta i))))))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i))))
(fma.f64 (-.f64 (fma.f64 (/.f64 beta (.f64 (+.f64 i beta) i)) #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 i beta) (pow.f64 i #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 beta (.f64 i i)) (+.f64 i beta)) #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (.f64 (+.f64 i beta) i)))) alpha (/.f64 #s(literal 4 binary64) (+.f64 i beta)))) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 i beta) (.f64 i i)))) alpha (/.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) i) (+.f64 i beta)))
(+ (* alpha (- (+ (* 2 (/ beta (* i (+ beta i)))) (+ (* 4 (/ 1 (+ beta i))) (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (* (pow i 3) (+ beta i)))) (* 3 (/ 1 (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 4) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 3) (+ beta i)))) (+ (* 2 (/ beta (* (pow i 2) (+ beta i)))) (* 3 (/ 1 (* i (+ beta i))))))))) (/ (pow (+ beta (* 2 i)) 2) (* (pow i 2) (+ beta i))))) (/ (pow (+ beta (* 2 i)) 2) (* i (+ beta i))))
(fma.f64 (fma.f64 (/.f64 beta (.f64 (+.f64 i beta) i)) #s(literal 2 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 beta (pow.f64 i #s(literal 3 binary64))) (+.f64 i beta)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3 binary64) (.f64 (+.f64 i beta) (.f64 i i))) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 i beta) (pow.f64 i #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 i beta) (pow.f64 i #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 beta (.f64 i i)) (+.f64 i beta)) #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (.f64 (+.f64 i beta) i))))) alpha (/.f64 #s(literal 4 binary64) (+.f64 i beta))) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 i beta) (*.f64 i i))))) alpha (/.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) i) (+.f64 i beta)))
(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 (+.f64 i beta) (/.f64 (.f64 (+.f64 i beta) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 i beta) alpha)))) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (+.f64 i beta) i)) alpha)) (*.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 i (/.f64 (.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta)) (.f64 alpha alpha)) (fma.f64 (+.f64 i beta) (/.f64 (.f64 (+.f64 i beta) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 i beta) alpha))))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (+.f64 i beta)) alpha) (fma.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (/.f64 (fma.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta) (-.f64 (.f64 (+.f64 i beta) (.f64 i i)) (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (+.f64 i beta) i)))) (.f64 alpha alpha)) (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 i beta) i)) (.f64 alpha alpha))))) (*.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (+ (/ (* (+ beta i) (+ (* beta i) (pow i 2))) alpha) (/ (* (pow i 2) (+ beta i)) alpha))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (+ (* (+ beta i) (+ (* beta i) (pow i 2))) (* (pow i 2) (+ beta i))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 i beta)) i (fma.f64 (-.f64 (.f64 (.f64 (+.f64 i beta) i) (.f64 (+.f64 i beta) i)) (fma.f64 (fma.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta) (-.f64 (.f64 (+.f64 i beta) (.f64 i i)) (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (+.f64 i beta) i)))) (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 i beta) i)))) (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (fma.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta) (-.f64 (.f64 (+.f64 i beta) (.f64 i i)) (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (+.f64 i beta) i)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 i (/.f64 (.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta)) (.f64 alpha alpha)) (fma.f64 (+.f64 i beta) (/.f64 (.f64 (+.f64 i beta) i) alpha) (.f64 (.f64 i i) (/.f64 (+.f64 i beta) alpha))))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (+.f64 i beta)) alpha) (fma.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (/.f64 (fma.f64 (.f64 (+.f64 i beta) i) (+.f64 i beta) (-.f64 (.f64 (+.f64 i beta) (.f64 i i)) (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta)) (.f64 (+.f64 i beta) i)))) (.f64 alpha alpha)) (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 i beta) i)) (.f64 alpha alpha)))))) (*.f64 alpha alpha))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(/.f64 (.f64 #s(literal -1/32 binary64) (.f64 alpha alpha)) (*.f64 i i))
(* (pow alpha 2) (- (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal 1/256 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i)))) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 alpha alpha) (.f64 i i))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 alpha alpha)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 i i)) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 20 binary64) (.f64 beta beta)) (.f64 i i))) (.f64 alpha alpha)) #s(literal 1/256 binary64) (fma.f64 (/.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal 1/256 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))))) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* 1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/16 (pow alpha 2)))) (+ (* 1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* 1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (* 1/32 (/ 1 (pow i 2)))))))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta (.f64 i i))) alpha) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 alpha alpha) (.f64 i i))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 alpha alpha)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 i i)) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 20 binary64) (.f64 beta beta)) (.f64 i i))) (.f64 alpha alpha)) #s(literal 1/256 binary64) (fma.f64 (/.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal 1/256 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))))) (*.f64 alpha alpha))
(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 i (/.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) alpha) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)) alpha) (fma.f64 i (/.f64 (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 i beta)) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 i (/.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) alpha) (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)) alpha) (fma.f64 i (/.f64 (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 i beta)) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))))))
(/ alpha (+ beta i))
(/.f64 alpha (+.f64 i beta))
(* alpha (- (+ (* 2 (/ beta (* alpha (+ beta i)))) (+ (* 4 (/ i (* alpha (+ beta i)))) (/ 1 (+ beta i)))) (/ i (* alpha (+ beta i)))))
(.f64 (-.f64 (fma.f64 (/.f64 beta (.f64 (+.f64 i beta) alpha)) #s(literal 2 binary64) (fma.f64 (/.f64 i (.f64 (+.f64 i beta) alpha)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 i beta)))) (/.f64 i (.f64 (+.f64 i beta) alpha))) alpha)
(* alpha (- (+ (* 2 (/ beta (* alpha (+ beta i)))) (+ (* 4 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (/ (pow (+ beta (* 2 i)) 2) (* (pow alpha 2) (+ beta i)))))) (+ (/ i (* alpha (+ beta i))) (/ (* i (- (+ (* 2 (/ beta (+ beta i))) (* 4 (/ i (+ beta i)))) (/ i (+ beta i)))) (pow alpha 2)))))
(.f64 (-.f64 (fma.f64 (/.f64 beta (.f64 (+.f64 i beta) alpha)) #s(literal 2 binary64) (fma.f64 (/.f64 i (.f64 (+.f64 i beta) alpha)) #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (+.f64 i beta)) (/.f64 #s(literal 1 binary64) (+.f64 i beta))))) (fma.f64 i (/.f64 (-.f64 (fma.f64 (/.f64 beta (+.f64 i beta)) #s(literal 2 binary64) (.f64 (/.f64 i (+.f64 i beta)) #s(literal 4 binary64))) (/.f64 i (+.f64 i beta))) (.f64 alpha alpha)) (/.f64 i (*.f64 (+.f64 i beta) alpha)))) alpha)
(* alpha (- (+ (* -1 (/ (* i (- (/ (pow (+ beta (* 2 i)) 2) (+ beta i)) (* i (- (+ (* 2 (/ beta (+ beta i))) (* 4 (/ i (+ beta i)))) (/ i (+ beta i)))))) (pow alpha 3))) (+ (* 2 (/ beta (* alpha (+ beta i)))) (+ (* 4 (/ i (* alpha (+ beta i)))) (+ (/ 1 (+ beta i)) (/ (pow (+ beta (* 2 i)) 2) (* (pow alpha 2) (+ beta i))))))) (+ (/ i (* alpha (+ beta i))) (/ (* i (- (+ (* 2 (/ beta (+ beta i))) (* 4 (/ i (+ beta i)))) (/ i (+ beta i)))) (pow alpha 2)))))
(.f64 (fma.f64 (.f64 i (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 i beta)) (.f64 (-.f64 (fma.f64 (/.f64 beta (+.f64 i beta)) #s(literal 2 binary64) (.f64 (/.f64 i (+.f64 i beta)) #s(literal 4 binary64))) (/.f64 i (+.f64 i beta))) i)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 beta (.f64 (+.f64 i beta) alpha)) #s(literal 2 binary64) (fma.f64 (/.f64 i (.f64 (+.f64 i beta) alpha)) #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (+.f64 i beta)) (/.f64 #s(literal 1 binary64) (+.f64 i beta))))) (fma.f64 i (/.f64 (-.f64 (fma.f64 (/.f64 beta (+.f64 i beta)) #s(literal 2 binary64) (.f64 (/.f64 i (+.f64 i beta)) #s(literal 4 binary64))) (/.f64 i (+.f64 i beta))) (.f64 alpha alpha)) (/.f64 i (.f64 (+.f64 i beta) alpha))))) alpha)
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 i beta) (.f64 alpha alpha)))))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (.f64 (+.f64 i beta) (.f64 i i)))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 i i)) (+.f64 i beta) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 i beta) i) (.f64 (+.f64 i beta) i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (.f64 (+.f64 i beta) (.f64 i i)))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (neg.f64 i) (.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta))))) alpha))) (.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (+ beta i))) (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (+ (* -1 (* (pow i 2) (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2)))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* (+ (* -1 beta) (* -1 i)) (+ (* beta i) (pow i 2))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 i i)) (+.f64 i beta) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (-.f64 (.f64 (.f64 (+.f64 i beta) i) (.f64 (+.f64 i beta) i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (.f64 (+.f64 i beta) (.f64 i i)))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (neg.f64 i) (.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)) #s(literal -4 binary64) (-.f64 (fma.f64 (.f64 i (/.f64 (.f64 (.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 #s(literal -1 binary64) (+.f64 i beta))) alpha)) #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (.f64 (+.f64 i beta) (.f64 i i)))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha) (.f64 (.f64 (+.f64 i beta) i) (.f64 (+.f64 i beta) i)))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (.f64 (+.f64 i beta) i) (neg.f64 (.f64 (+.f64 i beta) (.f64 i i)))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (neg.f64 i) (.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))))) alpha))) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (fma.f64 i #s(literal 2 binary64) beta))))) alpha))) (.f64 alpha alpha))
(* -1/32 (/ (pow alpha 2) (pow i 2)))
(/.f64 (.f64 #s(literal -1/32 binary64) (.f64 alpha alpha)) (*.f64 i i))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -3 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/256 binary64) (.f64 (/.f64 beta (.f64 i i)) #s(literal -48 binary64)))) alpha)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 i i)) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 20 binary64) (.f64 beta beta)) (.f64 i i))) #s(literal 1/256 binary64))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -3 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/256 binary64) (.f64 (/.f64 beta (.f64 i i)) #s(literal -48 binary64))))) alpha)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))))) alpha)) (* 1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) (* 1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 i i)) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 20 binary64) (.f64 beta beta)) (.f64 i i))) #s(literal 1/256 binary64))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -3 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/256 binary64) (.f64 (/.f64 beta (.f64 i i)) #s(literal -48 binary64))))) alpha)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 alpha alpha))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(neg.f64 (.f64 i (neg.f64 (/.f64 (+.f64 i beta) (.f64 alpha alpha)))))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
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alpha
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(- (* -1 (/ (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (+ (/ beta (+ (* -1 beta) (* -1 i))) (/ (* i (* (+ beta i) (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))))) (* alpha (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))
(-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 i (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal 2 binary64) (fma.f64 (/.f64 i alpha) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 i (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal 2 binary64) (/.f64 beta (.f64 #s(literal -1 binary64) (+.f64 i beta)))) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)))) (+.f64 i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))) (/.f64 beta (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)))) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))))) (* alpha (pow (+ (* -1 beta) (* -1 i)) 2)))) (/ (* i (* (+ beta i) (- (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* 2 (/ i (+ (* -1 beta) (* -1 i)))) (/ beta (+ (* -1 beta) (* -1 i))))) (* -1 (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2)))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))
(-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (-.f64 (fma.f64 (/.f64 i (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal 2 binary64) (/.f64 beta (.f64 #s(literal -1 binary64) (+.f64 i beta)))) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)))) (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 i i)) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)) alpha))) (/.f64 (.f64 (.f64 (+.f64 i beta) i) (-.f64 (fma.f64 (/.f64 i (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal 2 binary64) (/.f64 beta (.f64 #s(literal -1 binary64) (+.f64 i beta)))) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 i beta)))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 i (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal 2 binary64) (/.f64 beta (.f64 #s(literal -1 binary64) (+.f64 i beta)))) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64))))) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(.f64 (neg.f64 i) (.f64 #s(literal -1 binary64) (+.f64 i beta)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha) (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (.f64 (neg.f64 i) (+.f64 i beta))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)))
(* -1 (/ alpha (+ (* -1 beta) (* -1 i))))
(/.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))
(* -1 (* alpha (+ (* -1 (/ (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (/ (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))) (/ (* i (* (+ beta i) (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))))) (+ (* -1 beta) (* -1 i)))) alpha))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta))) (/.f64 (.f64 (.f64 (+.f64 i beta) i) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 i beta)))) alpha))) (/.f64 (.f64 (+.f64 i beta) i) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (/ (* i (* (+ beta i) (- (/ (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))) (/ (* i (* (+ beta i) (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))))) (+ (* -1 beta) (* -1 i)))))) (* alpha (+ (* -1 beta) (* -1 i)))) (/ (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))) (/ (* i (* (+ beta i) (- (* -2 (/ (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))))) (+ (* -1 beta) (* -1 i)))) alpha))) (/ (* i (+ beta i)) (pow (+ (* -1 beta) (* -1 i)) 2))) alpha)) (/ 1 (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta))) (/.f64 (.f64 (.f64 (+.f64 i beta) i) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 i beta)))) (+.f64 i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))) (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta))) (/.f64 (.f64 (.f64 (+.f64 i beta) i) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 #s(literal -1 binary64) (+.f64 i beta))) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 i) (+.f64 i beta)) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha))) (/.f64 (.f64 (+.f64 i beta) i) (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))
(/ (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 beta beta) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i))
(/ (- (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 beta beta (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i))
(/ (- (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 beta beta (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i))
(/ (- (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 beta beta (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) i (.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) 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(/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
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(/ (- (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
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(/ (- (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))))) (.f64 i i))
(/ (- (+ (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/16 (pow i 2))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (pow i 2))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) 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(/ alpha beta)
(/.f64 alpha beta)
(+ (/ alpha beta) (/ i beta))
(+.f64 (/.f64 alpha beta) (/.f64 i beta))
(+ (/ alpha beta) (/ i beta))
(+.f64 (/.f64 alpha beta) (/.f64 i beta))
(+ (/ alpha beta) (/ i beta))
(+.f64 (/.f64 alpha beta) (/.f64 i beta))
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 alpha beta) i) (+.f64 alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(- (pow (+ alpha beta) 2) 1)
(-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) i (.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) i (.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) i (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) i)
(* alpha beta)
(*.f64 alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(fma.f64 (+.f64 alpha beta) i (*.f64 alpha beta))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(* i (+ alpha beta))
(*.f64 (+.f64 alpha beta) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(* i (+ alpha (+ beta i)))
(*.f64 (+.f64 (+.f64 alpha beta) i) i)
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/.f64 (.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))) #s(literal 1/256 binary64)) (.f64 i i))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/.f64 (.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))) #s(literal 1/256 binary64)) (.f64 i i))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/.f64 (.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))) #s(literal 1/256 binary64)) (.f64 i i))
(* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))
(/.f64 (.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))) #s(literal 1/256 binary64)) (.f64 i i))
(/ (pow beta 2) (pow i 2))
(/.f64 (.f64 beta beta) (.f64 i i))
(/ (pow beta 2) (pow i 2))
(/.f64 (.f64 beta beta) (.f64 i i))
(/ (pow beta 2) (pow i 2))
(/.f64 (.f64 beta beta) (.f64 i i))
(/ (pow beta 2) (pow i 2))
(/.f64 (.f64 beta beta) (.f64 i i))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ beta i)
(/.f64 beta i)
(/ beta i)
(/.f64 beta i)
(/ beta i)
(/.f64 beta i)
(/ beta i)
(/.f64 beta i)
(/ (* alpha beta) (+ alpha beta))
(*.f64 alpha (/.f64 beta (+.f64 alpha beta)))
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 alpha beta))))
(+ (* i (- (+ 1 (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha beta)) #s(literal 2 binary64))) i #s(literal 1 binary64)) (/.f64 (.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 alpha beta))))
(+ (* i (- (+ 1 (* i (- (+ (* -2 (/ (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta))) (/ 1 (+ alpha beta))) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 i (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta))) #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha beta)) #s(literal 2 binary64)))) i #s(literal 1 binary64)) (/.f64 (.f64 (.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i (.f64 alpha (/.f64 beta (+.f64 alpha beta))))
(/ 1 i)
(/.f64 #s(literal 1 binary64) i)
(/ (+ 1 (/ i (+ alpha beta))) i)
(/.f64 (+.f64 (/.f64 i (+.f64 alpha beta)) #s(literal 1 binary64)) i)
(/ (+ 1 (* i (+ (* -1 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))) i)
(/.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta))) i #s(literal 1 binary64)) i)
(/ (+ 1 (* i (+ (* i (- (/ i (pow (+ alpha beta) 3)) (/ 1 (pow (+ alpha beta) 2)))) (/ 1 (+ alpha beta))))) i)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 i (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i (/.f64 #s(literal 1 binary64) (+.f64 alpha beta))) i #s(literal 1 binary64)) i)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 20 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) beta) alpha) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) 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(/ (+ alpha beta) (* alpha beta))
(/.f64 (/.f64 (+.f64 alpha beta) alpha) beta)
(+ (* i (- (* 2 (/ 1 (* alpha beta))) (/ (pow (+ alpha beta) 2) (* (pow alpha 2) (pow beta 2))))) (+ (/ 1 alpha) (/ 1 beta)))
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(+ (* i (- (+ (* -1 (* i (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* (pow alpha 2) beta)) (/ (* (+ alpha beta) (- (* 2 (/ 1 (* alpha beta))) (/ (pow (+ alpha beta) 2) (* (pow alpha 2) (pow beta 2))))) (* alpha beta)))))) (* 2 (/ 1 (* alpha beta)))) (/ (pow (+ alpha beta) 2) (* (pow alpha 2) (pow beta 2))))) (+ (/ 1 alpha) (/ 1 beta)))
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(+ (* i (- (+ (* 2 (/ 1 (* alpha beta))) (* i (- (* i (- (/ (pow (+ alpha beta) 2) (* (pow alpha 3) (pow beta 3))) (+ (* -1 (/ (* (+ alpha beta) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* (pow alpha 2) beta)) (/ (* (+ alpha beta) (- (* 2 (/ 1 (* alpha beta))) (/ (pow (+ alpha beta) 2) (* (pow alpha 2) (pow beta 2))))) (* alpha beta))))) (* alpha beta))) (* 2 (/ 1 (* (pow alpha 2) (pow beta 2))))))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* (pow alpha 2) beta)) (/ (* (+ alpha beta) (- (* 2 (/ 1 (* alpha beta))) (/ (pow (+ alpha beta) 2) (* (pow alpha 2) (pow beta 2))))) (* alpha beta))))))) (/ (pow (+ alpha beta) 2) (* (pow alpha 2) (pow beta 2))))) (+ (/ 1 alpha) (/ 1 beta)))
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(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 alpha beta) i) (+.f64 alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(/.f64 #s(literal 2 binary64) i)
(* -1 (/ (- (* -1 (/ (- (+ alpha beta) (* 2 (+ alpha beta))) i)) 2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ beta (+ (* -2 (/ (* alpha beta) i)) (* -1 (/ (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta)))) i))))) (* 2 (+ alpha beta))) i)) 2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (.f64 alpha (/.f64 beta i)) #s(literal -2 binary64) (/.f64 (.f64 (neg.f64 (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i)) beta) alpha) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ beta (* -1 (/ (- (+ (/ (* alpha (* beta (- (+ alpha beta) (* 2 (+ alpha beta))))) i) (/ (* (+ alpha beta) (+ (* -2 (* alpha beta)) (* -1 (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta))))))) i)) (+ (* -2 (* alpha beta)) (* -1 (* (+ alpha beta) (- (+ alpha beta) (* 2 (+ alpha beta))))))) i)))) (* 2 (+ alpha beta))) i)) 2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 alpha (/.f64 (.f64 (-.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) beta) i) (-.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) alpha) beta (.f64 (neg.f64 (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 alpha beta)) i) (fma.f64 (.f64 #s(literal -2 binary64) alpha) beta (.f64 (neg.f64 (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) i) #s(literal -1 binary64) beta) alpha) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))
(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (-.f64 (fma.f64 (.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i))) (.f64 i i))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64) (neg.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (.f64 (neg.f64 (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) beta) alpha) i) #s(literal 1/4 binary64) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))) (.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i) #s(literal 1/4 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))) (.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 alpha beta)) i)))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 i i))
4
#s(literal 4 binary64)
(- (+ 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 4 (/ (* alpha beta) (pow i 2))))
(+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 i i)) (.f64 (.f64 alpha (/.f64 beta (.f64 i i))) #s(literal 4 binary64))))
(- (+ 4 (+ (* -1 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))) (pow i 3))) (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 4 (/ (* alpha beta) (pow i 2))))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 alpha beta) #s(literal 4 binary64))) (+.f64 alpha beta)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 i i))) #s(literal 4 binary64)) (.f64 (.f64 alpha (/.f64 beta (*.f64 i i))) #s(literal 4 binary64)))
(- (+ 4 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))) i)) (/ (* alpha (* beta (- (pow (+ alpha beta) 2) (* 4 (* alpha beta))))) i)) (* -1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) (* 4 (* alpha beta)))))) (pow i 3))) (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 4 (/ (* alpha beta) (pow i 2))))
(-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 alpha beta) #s(literal 4 binary64))) beta) i) (/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 alpha beta) #s(literal 4 binary64)))) i)) (.f64 (neg.f64 (+.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 alpha beta) #s(literal 4 binary64))))) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 i i))) #s(literal 4 binary64)) (.f64 (.f64 alpha (/.f64 beta (*.f64 i i))) #s(literal 4 binary64)))

rewrite287.0ms (2.2%)

Memory

42.2MiB live, 387.2MiB allocated

Rules

6 172×	`lower-*.f32`
6 152×	`lower-*.f64`
5 518×	`lower-fma.f32`
5 506×	`lower-fma.f64`
3 618×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	750
0	135	660
1	713	642
2	6414	642
0	9416	628

Stop Event

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

Counts

28 → 869

Calls

Call 1

Inputs
(fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
(-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
#s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))
(*.f64 i i)
(*.f64 beta beta)
(/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
(/.f64 i beta)
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))
(.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))
(/.f64 (.f64 beta beta) (.f64 i i))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 beta i)
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (*.f64 beta beta))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 20 binary64)) (*.f64 beta beta)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (.f64 beta beta))) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 20 binary64)) (.f64 beta beta)))) (fma.f64 #s(literal 8000 binary64) (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 20 binary64) (.f64 beta beta)) (*.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (.f64 beta beta)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 20 binary64)) (.f64 beta beta))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (.f64 beta beta))))
(/.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 20 binary64)) (.f64 beta beta)))))
(/.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 20 binary64)) (.f64 beta beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (.f64 beta beta))) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 20 binary64)) (.f64 beta beta)))) (fma.f64 #s(literal 8000 binary64) (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal 1 binary64)) (.f64 #s(literal 20 binary64) (*.f64 beta beta)))
(fma.f64 (.f64 #s(literal 20 binary64) beta) beta (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (-.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 20 binary64) (*.f64 beta beta)))
(fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))))
(fma.f64 (.f64 beta beta) #s(literal 20 binary64) (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal 20 binary64) (.f64 beta beta)))
(fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta)))
(fma.f64 beta (.f64 #s(literal 20 binary64) beta) (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (.f64 beta beta)))) (/.f64 (.f64 #s(literal 400 binary64) (pow.f64 beta #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 #s(literal -20 binary64) (.f64 beta beta)))))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64))) (.f64 #s(literal 20 binary64) (*.f64 beta beta)))
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(/.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) beta) alpha))
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(/.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (.f64 (*.f64 i i) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
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(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha)))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (.f64 (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) beta) alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))))
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) beta))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 #s(literal 2 binary64) i) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (+.f64 alpha beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (+.f64 alpha beta) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 #s(literal 2 binary64) i)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) alpha (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i beta)))
(fma.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 (+.f64 alpha beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(fma.f64 (+.f64 alpha beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(fma.f64 alpha (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))) (.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))))
(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))) (.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))))
(+.f64 (.f64 alpha (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) beta))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (.f64 #s(literal 2 binary64) i)) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) (+.f64 alpha beta)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (+.f64 alpha beta)) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i beta)))

eval544.0ms (4.1%)

Memory: -25.2MiB live, 693.2MiB allocated
Compiler: Compiled 116 266 to 6 893 computations (94.1% saved)

prune486.0ms (3.7%)

Memory

17.1MiB live, 552.4MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	2 081	15	2 096
Fresh	11	15	26
Picked	3	2	5
Done	0	2	2
Total	2 095	34	2 129

Accuracy

99.4%

Counts

2 129 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(/.f64 (/.f64 (fma.f64 (+.f64 alpha beta) i (.f64 i i)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.3%	(/.f64 (/.f64 (.f64 (fma.f64 i i (.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	35.1%	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -1 binary64)))
	17.4%	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
	35.1%	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(approx (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (.f64 (+.f64 i beta) i))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	1.6%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	35.0%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/.f64 (.f64 (+.f64 i beta) i) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.1%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) #s(approx (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.3%	(/.f64 (/.f64 #s(approx (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	7.9%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	35.2%	(/.f64 (.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i))) i) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	35.1%	(/.f64 (.f64 (/.f64 (+.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.6%	(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	11.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
	37.5%	(.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) #s(literal -1 binary64)))
	37.5%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
	63.4%	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) #s(approx (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/.f64 (.f64 #s(literal 3/32 binary64) (.f64 beta beta)) (*.f64 i i))))))
	28.2%	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 beta beta (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i)))))
	63.6%	#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))
	20.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta))
	19.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta)))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
✓	25.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
	20.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 (/.f64 i alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i)))
	10.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (fma.f64 (.f64 #s(literal -6 binary64) (/.f64 (.f64 i i) beta)) i (.f64 i i))) (.f64 beta beta)))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	20.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta) i))
✓	12.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) (pow.f64 beta #s(literal -1 binary64))))
	10.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	25.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 i beta)))
✓	12.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
	19.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 i (*.f64 (/.f64 beta i) beta))))
✓	76.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 3 720 to 940 computations (74.7% saved)

regimes150.0ms (1.1%)

Memory

-32.9MiB live, 122.5MiB allocated

Counts

83 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 i (*.f64 (/.f64 beta i) beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (fma.f64 (.f64 #s(literal -6 binary64) (/.f64 (.f64 i i) beta)) i (.f64 i i))) (.f64 beta beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
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(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (fma.f64 beta alpha (.f64 (+.f64 beta alpha) i)) (.f64 i i)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #s(approx (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 beta i) beta)) #s(literal -1 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) beta)) (.f64 beta beta))))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) i))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(literal 1/256 binary64) i) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64)))) i)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

4 calls:

47.0ms	i
41.0ms	beta
21.0ms	alpha
18.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
79.3%	2	`alpha`
89.3%	2	`beta`
85.7%	2	`i`
79.5%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes27.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

78 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 i (*.f64 (/.f64 beta i) beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (fma.f64 (.f64 #s(literal -6 binary64) (/.f64 (.f64 i i) beta)) i (.f64 i i))) (.f64 beta beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 i beta)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) #s(approx (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/.f64 (.f64 #s(literal 3/32 binary64) (.f64 beta beta)) (*.f64 i i))))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 beta beta (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 (/.f64 i alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i)))
(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #s(approx (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
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#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) beta)) (.f64 beta beta))))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

21.0ms

beta

Results

Accuracy	Segments	Branch
89.2%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 i (*.f64 (/.f64 beta i) beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 8 i) (* 4 alpha)) (+ alpha i)) beta)))) (fma.f64 (.f64 #s(literal -6 binary64) (/.f64 (.f64 i i) beta)) i (.f64 i i))) (.f64 beta beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 alpha i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 i beta)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) #s(approx (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i)) (/.f64 (.f64 #s(literal 3/32 binary64) (.f64 beta beta)) (*.f64 i i))))))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) #s(approx (- (+ (* (/ (* beta beta) (* i i)) 1/16) 1/16) (/ (* 1/256 (+ (* (+ (* beta beta) -1) 4) (* (* beta beta) 20))) (* i i))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 beta beta (.f64 i i)) (.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 #s(literal 20 binary64) (.f64 beta beta))))) (*.f64 i i)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 (/.f64 i alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i)))
(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) #s(approx (* (* (+ (+ alpha beta) i) i) (pow (+ (* 2 i) (+ alpha beta)) -2)) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (- (+ (* (/ 1/16 i) (/ (+ (* beta alpha) (pow (+ beta alpha) 2)) i)) 1/16) (* (/ 1/256 i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i))) (-.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i)))))
(/.f64 #s(approx (/ (* (+ (* i i) (* (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 beta alpha) i)) #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) #s(approx (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
88.6%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
88.6%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.2%)

Memory

-32.6MiB live, 6.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

30.0ms

beta

Results

Accuracy	Segments	Branch
87.5%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

2 calls:

3.0ms	beta
2.0ms	i

Results

Accuracy	Segments	Branch
76.1%	1	`i`
82.5%	2	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
79.5%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

3 calls:

2.0ms

beta

1.0ms

alpha

1.0ms

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

Results

Accuracy	Segments	Branch
76.1%	1	`alpha`
76.1%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
79.3%	2	`beta`

Compiler

Compiled 55 to 23 computations (58.2% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

1.0ms	beta
1.0ms	i

Results

Accuracy	Segments	Branch
76.1%	1	`i`
76.1%	1	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch34.0ms (0.3%)

Memory

-17.1MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.9915755312504183e+184	4.3042286407958174e+184

Samples

29.0ms

64×

valid

Compiler

Compiled 228 to 131 computations (42.5% saved)

Precisions

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

ival-mult: 25.0ms (90.5% of total)

ival-div: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9915755312504183e+184	4.3042286407958174e+184

Compiler

Compiled 212 to 119 computations (43.9% saved)

bsearch8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.9915755312504183e+184	4.3042286407958174e+184

Samples

4.0ms

48×

valid

Compiler

Compiled 104 to 83 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (33.7% of total)

ival-add: 1.0ms (33.7% of total)

ival-mult: 1.0ms (33.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.9915755312504183e+184	4.3042286407958174e+184

Compiler

Compiled 104 to 83 computations (20.2% saved)

bsearch28.0ms (0.2%)

Memory

-11.7MiB live, 24.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	9.777252815444382e+192	1.6431887650552563e+195

Samples

10.0ms

112×

valid

Compiler

Compiled 133 to 121 computations (9% saved)

Precisions

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

ival-mult: 3.0ms (42.8% of total)

ival-add: 2.0ms (28.5% of total)

ival-sub: 1.0ms (14.3% of total)

ival-div: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.777252815444382e+192	1.6431887650552563e+195

Samples

6.0ms

64×

valid

Compiler

Compiled 133 to 128 computations (3.8% saved)

Precisions

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

ival-mult: 2.0ms (50.6% of total)

ival-div: 1.0ms (25.3% of total)

ival-add: 1.0ms (25.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch42.0ms (0.3%)

Memory

-29.3MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	5.3104891438501396e+231	1.348326516876324e+233

Samples

10.0ms

112×

valid

Compiler

Compiled 140 to 128 computations (8.6% saved)

Precisions

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

ival-mult: 3.0ms (42.5% of total)

ival-add: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

ival-div: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.979038084651751e+242	2.2045392975429773e+244

Samples

10.0ms

112×

valid

Compiler

Compiled 133 to 128 computations (3.8% saved)

Precisions

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

ival-mult: 3.0ms (42.9% of total)

ival-add: 2.0ms (28.6% of total)

ival-sub: 1.0ms (14.3% of total)

ival-div: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify49.0ms (0.4%)

Memory

5.7MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
10×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`-rgt-identity-binary64-.f64`
2×	`mul-1-neg-binary64-neg.f64-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1041
1	104	1041
2	107	1041
3	112	1041

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 31999999999999998291035934450087306847792859783023643409426286090035030607800191452382720805730992938399797314787691396193127303665687596432840936578500592758136292956988379007543148544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) #s(literal -1 binary64))))
(if (<=.f64 beta #s(literal 31999999999999998291035934450087306847792859783023643409426286090035030607800191452382720805730992938399797314787691396193127303665687596432840936578500592758136292956988379007543148544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 34999999999999997777011575977763490092127698420031901455598635996934524567012118753016335657004318643300397827643528007573572829250235349244927465327285714026577109349890785447369506816 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))))
(if (<=.f64 beta #s(literal 34999999999999997777011575977763490092127698420031901455598635996934524567012118753016335657004318643300397827643528007573572829250235349244927465327285714026577109349890785447369506816 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 195000000000000007849038475154243088811796558199868545504216983381387997344939272153537211630413497496642838716956334587614141123207828316586091978849199954654810515350504727083854914239288311808 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 249999999999999994269441192357429799010366298547094715943611835143145449336963557223604715061977484451939150199028134992982904161421295424808316953487810268417501091762403886052527481270585786368 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 i (*.f64 (/.f64 beta i) beta)))))
(if (<=.f64 beta #s(literal 130000000000000003205064235341218909882735274084612242004988639526375088642833118472449403438467932690874860557323286197214907320296951991564372675551877131637238286526228140984426888817851923754481434039205544736314545781444347691008 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 2900000000000000064873574433270810798292578200180620058367524651295931394145767196765695066312755245666144578655869220002938568328559220606180933406081768277356107849132098997277251104592822783247351297545719847574735730409694443909793053671424 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 beta #s(literal 31999999999999998291035934450087306847792859783023643409426286090035030607800191452382720805730992938399797314787691396193127303665687596432840936578500592758136292956988379007543148544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) #s(literal -1 binary64))))
(if (<=.f64 beta #s(literal 31999999999999998291035934450087306847792859783023643409426286090035030607800191452382720805730992938399797314787691396193127303665687596432840936578500592758136292956988379007543148544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) i))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i))) #s(literal -1 binary64))))
(if (<=.f64 beta #s(literal 31999999999999998291035934450087306847792859783023643409426286090035030607800191452382720805730992938399797314787691396193127303665687596432840936578500592758136292956988379007543148544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 31999999999999998291035934450087306847792859783023643409426286090035030607800191452382720805730992938399797314787691396193127303665687596432840936578500592758136292956988379007543148544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 34999999999999997777011575977763490092127698420031901455598635996934524567012118753016335657004318643300397827643528007573572829250235349244927465327285714026577109349890785447369506816 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))))
(if (<=.f64 beta #s(literal 34999999999999997777011575977763490092127698420031901455598635996934524567012118753016335657004318643300397827643528007573572829250235349244927465327285714026577109349890785447369506816 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 34999999999999997777011575977763490092127698420031901455598635996934524567012118753016335657004318643300397827643528007573572829250235349244927465327285714026577109349890785447369506816 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta))))
(if (<=.f64 beta #s(literal 195000000000000007849038475154243088811796558199868545504216983381387997344939272153537211630413497496642838716956334587614141123207828316586091978849199954654810515350504727083854914239288311808 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 249999999999999994269441192357429799010366298547094715943611835143145449336963557223604715061977484451939150199028134992982904161421295424808316953487810268417501091762403886052527481270585786368 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 i (*.f64 (/.f64 beta i) beta)))))
(if (<=.f64 beta #s(literal 130000000000000003205064235341218909882735274084612242004988639526375088642833118472449403438467932690874860557323286197214907320296951991564372675551877131637238286526228140984426888817851923754481434039205544736314545781444347691008 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 130000000000000003205064235341218909882735274084612242004988639526375088642833118472449403438467932690874860557323286197214907320296951991564372675551877131637238286526228140984426888817851923754481434039205544736314545781444347691008 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 i (.f64 beta beta)) (+.f64 alpha i))))
(if (<=.f64 beta #s(literal 2900000000000000064873574433270810798292578200180620058367524651295931394145767196765695066312755245666144578655869220002938568328559220606180933406081768277356107849132098997277251104592822783247351297545719847574735730409694443909793053671424 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (.f64 i i) (.f64 beta beta)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness956.0ms (7.2%)

Memory

14.5MiB live, 809.1MiB allocated

Rules

9 052×	`lower-fma.f64`
9 052×	`lower-fma.f32`
7 220×	`lower-*.f64`
7 220×	`lower-*.f32`
7 210×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	149
0	29	125
1	146	125
2	1503	125
0	8180	116
0	56	550
0	94	445
1	393	445
2	3442	445
0	8262	445
0	2543	48416
0	8751	44501
0	1076	12372
1	3790	11572
0	8145	10751
0	93	750
0	135	660
1	713	642
2	6414	642
0	9416	628
0	2152	51586
1	7547	51548
0	8827	47183

Stop Event

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

Compiler

Compiled 475 to 262 computations (44.8% saved)

preprocess198.0ms (1.5%)

Memory: -5.2MiB live, 146.9MiB allocated
Compiler: Compiled 570 to 218 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze26.0ms (0.2%)

sample1.7s (13.1%)

explain326.0ms (2.5%)

preprocess197.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify341.0ms (2.6%)

localize61.0ms (0.5%)

series326.0ms (2.5%)

simplify554.0ms (4.2%)

rewrite315.0ms (2.4%)

eval187.0ms (1.4%)

prune331.0ms (2.5%)

simplify184.0ms (1.4%)

localize261.0ms (2%)

series286.0ms (2.1%)

simplify402.0ms (3%)

rewrite293.0ms (2.2%)

eval421.0ms (3.2%)

prune474.0ms (3.6%)

simplify157.0ms (1.2%)

localize231.0ms (1.7%)

series272.0ms (2%)

simplify351.0ms (2.6%)

rewrite296.0ms (2.2%)

eval751.0ms (5.6%)

prune678.0ms (5.1%)

simplify156.0ms (1.2%)

localize293.0ms (2.2%)

series141.0ms (1.1%)

simplify343.0ms (2.6%)

rewrite287.0ms (2.2%)

eval544.0ms (4.1%)

prune486.0ms (3.7%)

regimes150.0ms (1.1%)

regimes27.0ms (0.2%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes31.0ms (0.2%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch34.0ms (0.3%)

bsearch2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch28.0ms (0.2%)

bsearch10.0ms (0.1%)

bsearch42.0ms (0.3%)

bsearch17.0ms (0.1%)

simplify49.0ms (0.4%)

soundness956.0ms (7.2%)

preprocess198.0ms (1.5%)

end0.0ms (0%)

Profiling