Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze24.0ms (0.2%)

Memory

-8.0MiB live, 35.7MiB 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)

sample1.9s (17%)

Memory

43.6MiB live, 2 547.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 909.0ms

ival-mult: 369.0ms (40.6% of total)

ival-add: 234.0ms (25.7% of total)

ival->: 115.0ms (12.6% of total)

ival-div: 110.0ms (12.1% of total)

ival-sub: 44.0ms (4.8% of total)

ival-and: 18.0ms (2% of total)

exact: 16.0ms (1.8% of total)

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

Bogosity

explain308.0ms (2.8%)

Memory

-1.9MiB live, 331.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
220	-	-	`(/.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))))`
147	-	-	`(/.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	-	-	`#s(literal 1 binary64)`
0	-	-	`i`
0	-	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	-	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	-	-	`beta`
0	-	-	`(+.f64 alpha beta)`
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	-	-	`(+.f64 (+.f64 alpha beta) i)`
0	-	-	`alpha`
0	-	-	`(*.f64 beta alpha)`
0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	-	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
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	165	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	220
↳	`(*.f64 beta alpha)`	overflow	15
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	292
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	165
`/.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	133	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	220
↳	`(*.f64 beta alpha)`	overflow	15
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	292
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	165
↳	`(/.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	133
↳	`(-.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	165
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	165
`/.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	55	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	220
↳	`(*.f64 beta alpha)`	overflow	15
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	292
`/.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	14	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))`	overflow	165
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	165

Confusion

	Predicted +	Predicted -
+	220	0
-	0	36

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	220	0	0
-	0	0	36

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	36
1	73
2	147

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms

512×

valid

Compiler

Compiled 423 to 55 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 42.0ms (64.4% of total)

ival-mult: 14.0ms (21.5% of total)

ival-div: 5.0ms (7.7% of total)

ival-sub: 2.0ms (3.1% of total)

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

exact: 1.0ms (1.5% of total)

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

preprocess144.0ms (1.3%)

Memory

21.8MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	522
1	414	508
2	2730	505
0	17	53
0	29	53
1	86	53
2	459	53
3	4243	47
0	8152	43

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

Symmetry

(sort alpha beta)

Compiler

Compiled 53 to 17 computations (67.9% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.7%	(/.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

▶

14.7%

(/.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)

simplify139.0ms (1.3%)

Memory

-15.0MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	183
0	29	183
1	86	183
2	459	183
3	4243	177
0	8152	162

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 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 2 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 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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 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)

localize50.0ms (0.5%)

Memory

-1.5MiB live, 85.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.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	35.38660874036028	(/.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	46.974196698160696	(/.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

28.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 9.0ms (51.1% of total)

ival-add: 5.0ms (28.4% of total)

ival-div: 3.0ms (17% of total)

ival-sub: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series114.0ms (1%)

Memory

-28.1MiB live, 71.6MiB allocated

Counts

7 → 164

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
8.0ms	i	@	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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
7.0ms	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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
6.0ms	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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
6.0ms	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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))

simplify234.0ms (2.1%)

Memory

42.8MiB live, 360.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	11239
1	4076	10377
0	8872	9515

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

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

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

rewrite363.0ms (3.3%)

Memory

-54.6MiB live, 380.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	157
0	29	127
1	149	127
2	1506	127
0	9159	117

Stop Event

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

Counts

7 → 862

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

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

eval275.0ms (2.5%)

Memory: 31.5MiB live, 314.9MiB allocated
Compiler: Compiled 132 213 to 5 964 computations (95.5% saved)

prune69.0ms (0.6%)

Memory

-31.4MiB live, 116.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1 622	11	1 633
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 623	11	1 634

Accuracy

99.2%

Counts

1 634 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (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)))
	14.6%	(/.f64 (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (fma.f64 (+.f64 (+.f64 beta alpha) i) 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 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	14.7%	(/.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)))
▶	39.7%	(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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)))
	18.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 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)))
▶	34.4%	(/.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) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) 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)))
	39.6%	(.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	12.9%	#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) (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 beta beta)))
	64.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)))
▶	30.4%	#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)))
▶	72.7%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 1 416 to 554 computations (60.9% saved)

simplify358.0ms (3.2%)

Memory

-4.7MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	5	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
cost-diff	0	(/.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))))
cost-diff	0	(/.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)))
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	5	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	1	(.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))
cost-diff	4	(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))
cost-diff	5	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	808
0	94	678
1	233	678
2	918	650
3	7279	650
0	8113	644

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

localize574.0ms (5.2%)

Memory

12.6MiB live, 208.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))))
accuracy	0.0546875	(.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))))
accuracy	35.38660874036028	(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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	39.93158486871426	(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	0.0546875	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)))
accuracy	0.8775689877059646	#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))
accuracy	35.38660874036028	(/.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)))
accuracy	46.974196698160696	(/.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))))
accuracy	0.0546875	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))
accuracy	0.1861956210287728	(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))
accuracy	11.022881642120284	#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) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i)))
accuracy	35.38660874036028	(/.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) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) 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)))
accuracy	0.0	(+.f64 alpha i)
accuracy	0.015625	(/.f64 (+.f64 alpha i) beta)
accuracy	0.1953125	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
accuracy	44.43880356369409	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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	17.441886458231618	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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

375.0ms

256×

valid

Compiler

Compiled 745 to 44 computations (94.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-sub: 153.0ms (48.4% of total)

ival-add: 130.0ms (41.1% of total)

ival-mult: 19.0ms (6% of total)

ival-div: 10.0ms (3.2% of total)

ival-pow2: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series396.0ms (3.6%)

Memory

19.2MiB live, 163.3MiB allocated

Counts

20 → 268

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

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

Calls

9 calls:

Time	Variable		Point	Expression
287.0ms	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) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (/ (/ (* (* i (+ (+ alpha beta) 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)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2))))
31.0ms	i	@	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) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (/ (/ (* (* i (+ (+ alpha beta) 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)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2))))
25.0ms	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) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (/ (/ (* (* i (+ (+ alpha beta) 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)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2))))
13.0ms	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) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (/ (/ (* (* i (+ (+ alpha beta) 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)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2))))
7.0ms	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) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)))) (/ (/ (* (* i (+ (+ alpha beta) 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)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2)) (* i (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 2))))

simplify303.0ms (2.7%)

Memory

-32.9MiB live, 353.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1674	16503
1	6045	16302
0	8498	14922

Stop Event

1×	iter limit
1×	node limit

Counts

268 → 265

Calls

Call 1

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

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

rewrite277.0ms (2.5%)

Memory

20.3MiB live, 302.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	578
0	94	485
1	409	485
2	3523	485
0	8299	482

Stop Event

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

Counts

20 → 613

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

eval327.0ms (3%)

Memory: 16.9MiB live, 326.4MiB allocated
Compiler: Compiled 168 238 to 6 653 computations (96% saved)

prune105.0ms (1%)

Memory

-4.0MiB live, 145.3MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2 147	17	2 164
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	2 154	21	2 175

Accuracy

99.3%

Counts

2 175 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 beta i) alpha) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))
	14.6%	(/.f64 (/.f64 (.f64 (+.f64 (+.f64 beta i) alpha) (.f64 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)))
	14.7%	(/.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)) #s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)))
	34.4%	(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 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)))
	18.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 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)))
	34.4%	(/.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) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	34.4%	(/.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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) 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)))
	12.9%	#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) (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 beta beta)))
▶	30.4%	#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))
	30.4%	#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 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)))
▶	64.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)))
	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 (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (/.f64 i beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 i beta) #s(literal 2 binary64)) (.f64 (/.f64 alpha beta) (/.f64 i beta))))) (/.f64 i beta)))
▶	17.1%	#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 alpha i) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta)))
	30.4%	#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 #s(approx (+ alpha i) (.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i)) beta) (/.f64 i beta)))
	23.8%	#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)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
▶	16.4%	#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 alpha i) (/.f64 i (.f64 beta beta))))
	28.7%	#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 i beta)) (/.f64 i beta)))
	11.8%	#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)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	22.0%	#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 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
	29.3%	#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 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)))) (/.f64 i beta)))
✓	72.7%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 2 893 to 1 137 computations (60.7% saved)

simplify215.0ms (2%)

Memory

-4.6MiB live, 186.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i)))
cost-diff	0	(/.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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) 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)))
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	1	(-.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	0	(*.f64 (+.f64 alpha i) (-.f64 alpha i))
cost-diff	0	(.f64 (/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.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 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta)))
cost-diff	6	(/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (.f64 (-.f64 alpha i) beta))
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	(*.f64 (/.f64 (+.f64 alpha i) beta) i)
cost-diff	0	(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) 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 (+.f64 alpha i) beta) i) beta))
cost-diff	0	(/.f64 i (*.f64 beta beta))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(.f64 (+.f64 alpha i) (/.f64 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)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
cost-diff	2	(.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))))
cost-diff	3	(fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i))
cost-diff	7	(fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))
cost-diff	11	(fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1145
0	127	1103
1	306	955
2	1259	895
3	7780	871
0	9944	820

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)) (-.f64 #s(literal 1/16 binary64) (/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i))
#s(literal 1/16 binary64)
(/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)
(fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i))
(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 #s(literal 2 binary64) (+.f64 beta alpha))
#s(literal 2 binary64)
(+.f64 beta alpha)
beta
alpha
(*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))
#s(literal -1/8 binary64)
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)
(-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64))
(neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(.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))))
#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 (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)
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 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 (+.f64 alpha i) beta) i) beta))
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
(*.f64 (/.f64 (+.f64 alpha i) beta) i)
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
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 (/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta)))
(.f64 (/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta))
(/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (.f64 (-.f64 alpha i) beta))
(*.f64 (+.f64 alpha i) (-.f64 alpha i))
(+.f64 alpha i)
alpha
i
(-.f64 alpha i)
(*.f64 (-.f64 alpha i) beta)
beta
(/.f64 i beta)
(/.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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) 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)))
#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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i)))
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i))
#s(literal 1/4 binary64)
(/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i)
#s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta))
(*.f64 #s(literal 1/4 binary64) beta)
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))
(.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 alpha beta)
alpha
(*.f64 #s(literal 2 binary64) i)
#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)) (-.f64 #s(literal 1/16 binary64) (/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) 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(literal 1/16 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i))
(-.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i) i))
#s(literal 1/16 binary64)
(/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)
(/.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i) i)
(fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i))
(/.f64 (fma.f64 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i)
(fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(*.f64 (+.f64 beta alpha) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 beta alpha)
beta
alpha
(*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))
#s(literal -1/8 binary64)
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i)
(-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64))
(*.f64 #s(literal -1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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 #s(literal -5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(.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 #s(literal -5/64 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))
#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 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 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)
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 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 (+.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 (+.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 alpha i) beta) beta) i))
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
(*.f64 (/.f64 (/.f64 (+.f64 alpha i) beta) beta) i)
(*.f64 (/.f64 (+.f64 alpha i) beta) i)
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
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 (/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.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) #s(literal 1 binary64)) (/.f64 i beta)))
(.f64 (/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta))
(.f64 (.f64 (/.f64 (+.f64 alpha i) beta) #s(literal 1 binary64)) (/.f64 i beta))
(/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (.f64 (-.f64 alpha i) beta))
(*.f64 (/.f64 (+.f64 alpha i) beta) #s(literal 1 binary64))
(*.f64 (+.f64 alpha i) (-.f64 alpha i))
(*.f64 (-.f64 alpha i) (+.f64 alpha i))
(+.f64 alpha i)
alpha
i
(-.f64 alpha i)
(*.f64 (-.f64 alpha i) beta)
beta
(/.f64 i beta)
(/.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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) 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)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 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(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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i)))
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 binary64))))
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i))
(.f64 (.f64 i i) (+.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i))
(+.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i)
#s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta))
(*.f64 #s(literal 1/4 binary64) beta)
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))
(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 alpha beta)
(+.f64 beta alpha)
alpha
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize462.0ms (4.2%)

Memory

30.3MiB live, 320.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i))
accuracy	11.022881642120284	#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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 i i)))
accuracy	15.065553575826392	#s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta))
accuracy	35.38660874036028	(/.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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) 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)))
accuracy	0.0078125	(*.f64 (-.f64 alpha i) beta)
accuracy	0.1953125	(.f64 (/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta))
accuracy	24.24424487018059	(/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (.f64 (-.f64 alpha i) beta))
accuracy	44.43880356369409	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta)))
accuracy	0.015625	(/.f64 (+.f64 alpha i) beta)
accuracy	0.12109375	(*.f64 (/.f64 (+.f64 alpha i) beta) i)
accuracy	4.745825460308662	(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
accuracy	44.43880356369409	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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))
accuracy	0.0	(*.f64 beta beta)
accuracy	4.399649324267445	(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
accuracy	9.054100384720915	(/.f64 i (*.f64 beta beta))
accuracy	44.43880356369409	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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	4.131286354657261	(/.f64 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)
accuracy	8.473892625401234	(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)
accuracy	15.18499765629508	(-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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))))))
accuracy	17.98457091928363	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) i)) i)))

Samples

211.0ms	192×	1	valid
76.0ms	31×	0	valid
51.0ms	33×	2	valid

Compiler

Compiled 1 011 to 70 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 252.0ms

ival-mult: 93.0ms (36.9% of total)

ival-add: 88.0ms (35% of total)

adjust: 28.0ms (11.1% of total)

ival-div: 22.0ms (8.7% of total)

ival-sub: 12.0ms (4.8% of total)

ival-pow2: 5.0ms (2% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series127.0ms (1.2%)

Memory

11.1MiB live, 197.7MiB allocated

Counts

28 → 280

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	alpha	@	0	((+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)))) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))) (/ (/ (* (* i (+ (+ alpha beta) 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))) (+ alpha i) (/ i (* beta 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (* (+ alpha i) (- alpha i)) (* (- 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 i) (- alpha i)) (* (- alpha i) beta)) (/ i beta)) (* (+ alpha i) (- alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (* beta beta) (* (- alpha i) beta) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)))
23.0ms	beta	@	-inf	((+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)))) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))) (/ (/ (* (* i (+ (+ alpha beta) 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))) (+ alpha i) (/ i (* beta 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (* (+ alpha i) (- alpha i)) (* (- 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 i) (- alpha i)) (* (- alpha i) beta)) (/ i beta)) (* (+ alpha i) (- alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (* beta beta) (* (- alpha i) beta) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)))
12.0ms	i	@	0	((+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)))) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))) (/ (/ (* (* i (+ (+ alpha beta) 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))) (+ alpha i) (/ i (* beta 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (* (+ alpha i) (- alpha i)) (* (- 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 i) (- alpha i)) (* (- alpha i) beta)) (/ i beta)) (* (+ alpha i) (- alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (* beta beta) (* (- alpha i) beta) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)))
11.0ms	i	@	inf	((+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)))) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))) (/ (/ (* (* i (+ (+ alpha beta) 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))) (+ alpha i) (/ i (* beta 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (* (+ alpha i) (- alpha i)) (* (- 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 i) (- alpha i)) (* (- alpha i) beta)) (/ i beta)) (* (+ alpha i) (- alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (* beta beta) (* (- alpha i) beta) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)))
9.0ms	alpha	@	-inf	((+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)))) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))) (/ (/ (* (* i (+ (+ alpha beta) 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))) (+ alpha i) (/ i (* beta 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (* (+ alpha i) (- alpha i)) (* (- 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 i) (- alpha i)) (* (- alpha i) beta)) (/ i beta)) (* (+ alpha i) (- alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (* beta beta) (* (- alpha i) beta) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)))

simplify311.0ms (2.8%)

Memory

-31.9MiB live, 291.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1869	15345
1	6920	14996
0	8739	13835

Stop Event

1×	iter limit
1×	node limit

Counts

280 → 277

Calls

Call 1

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

Outputs
(+ (* -1/8 beta) (* 1/8 beta))
(*.f64 beta #s(literal 0 binary64))
(+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))))
(fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64)))
(+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (* alpha (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/256 (+ (* 8 beta) (* 40 beta)))))))
(fma.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) alpha (.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64))))
(+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (* alpha (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (+ (* -3/32 alpha) (* -1/256 (+ (* 8 beta) (* 40 beta))))))))
(fma.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)) (fma.f64 #s(literal -3/32 binary64) alpha (.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64)))) alpha (.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64))))
(- (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/16 (/ (pow beta 2) i))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i))))
(fma.f64 #s(literal -1 binary64) (.f64 beta #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (*.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64)))) i))
(- (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i))))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i))))
(-.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 beta i)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) i)) alpha (.f64 (/.f64 (.f64 beta beta) i) #s(literal -1/16 binary64))) (neg.f64 (.f64 beta #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) i))
(- (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i))))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i))))
(-.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) alpha)) i) (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) i)) alpha (.f64 (/.f64 (.f64 beta beta) i) #s(literal -1/16 binary64))) (neg.f64 (.f64 beta #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) i))
(* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))
(.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64))
(+ (* -1/256 (* alpha (+ (* 8 beta) (* 40 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))))
(.f64 #s(literal -1/256 binary64) (fma.f64 (.f64 beta #s(literal 48 binary64)) alpha (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64)))))
(+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (* alpha (+ (* -3/32 alpha) (* -1/256 (+ (* 8 beta) (* 40 beta))))))
(fma.f64 (fma.f64 #s(literal -3/32 binary64) alpha (.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64))) alpha (.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(.f64 (/.f64 (.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 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 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (.f64 (/.f64 (.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))
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(- (* -1/16 (pow beta 2)) (+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))))
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(- (+ (* -1/16 (pow beta 2)) (* alpha (- (* -1/16 (+ beta (* 2 beta))) (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/256 (+ (* 8 beta) (* 40 beta))))))) (+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))))
(-.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) beta) #s(literal -1/16 binary64)) (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64))))) alpha (.f64 #s(literal -1/16 binary64) (.f64 beta beta))) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (*.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))))
(- (+ (* -1/16 (pow beta 2)) (* alpha (- (+ (* -1/16 (+ beta (* 2 beta))) (* 1/32 alpha)) (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/256 (+ (* 8 beta) (* 40 beta))))))) (+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))))
(-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) alpha)) (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64))))) alpha (.f64 #s(literal -1/16 binary64) (.f64 beta beta))) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (*.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))))
(/ (- (* -1/16 (pow beta 2)) (+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))))) i)
(/.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64)))) i)
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (* -1/16 (/ (+ beta (* 2 beta)) i)) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) i)))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i))))
(-.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 beta i)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) i)) alpha (.f64 (/.f64 (.f64 beta beta) i) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (*.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) i))
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (/ (+ beta (* 2 beta)) i)) (* 1/32 (/ alpha i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) i)))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i))))
(-.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) alpha)) i) (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) i)) alpha (.f64 (/.f64 (.f64 beta beta) i) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (*.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) i))
(/ (- (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/16 (/ (pow beta 2) i))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)))) i)
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(- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (+ (* -1/16 (/ (pow beta 2) (pow i 2))) (* alpha (- (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) i)) (+ (* -2 (/ (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i))) i)) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) i))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))))
(-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 beta beta) i) (/.f64 (neg.f64 (.f64 beta #s(literal 0 binary64))) i)) (.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta i)) i) #s(literal -1/16 binary64)) (/.f64 (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) i) i)) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) (*.f64 i i)))
(- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (+ (* -1/16 (/ (pow beta 2) (pow i 2))) (* alpha (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) i)) (* 1/32 (/ alpha (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i))) i)) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) i))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))))
(-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 beta beta) i) (/.f64 (neg.f64 (.f64 beta #s(literal 0 binary64))) i)) (.f64 (-.f64 (fma.f64 (/.f64 alpha (.f64 i i)) #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta i)) i) #s(literal -1/16 binary64))) (/.f64 (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) i) i)) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) (.f64 i i)))
(* -1 (* beta i))
(*.f64 (neg.f64 beta) i)
(+ (* -1 (* beta i)) (* alpha beta))
(fma.f64 (neg.f64 beta) i (*.f64 alpha beta))
(* 1/4 (- (* 2 beta) beta))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) beta) #s(literal 1/4 binary64))
(+ (* 1/4 alpha) (* 1/4 (- (* 2 beta) beta)))
(.f64 #s(literal 1/4 binary64) (+.f64 alpha (-.f64 (.f64 #s(literal 2 binary64) beta) beta)))
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i))
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 i i) (.f64 (.f64 #s(literal 1/4 binary64) alpha) i))
(* -3/32 (pow alpha 2))
(.f64 (.f64 alpha alpha) #s(literal -3/32 binary64))
(* (pow alpha 2) (- (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) alpha)) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) alpha))) 3/32))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) alpha) #s(literal 3/32 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow alpha 2))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) alpha)) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) alpha))))) 3/32))
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(* 1/32 (/ (pow alpha 2) i))
(.f64 (/.f64 (.f64 alpha alpha) i) #s(literal 1/32 binary64))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)))))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (fma.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64) (.f64 (/.f64 (/.f64 (.f64 beta #s(literal 0 binary64)) alpha) i) #s(literal -2 binary64)))) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow alpha 2))) (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)))))))
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(* (pow alpha 2) (- (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) alpha)) 3/32))
(.f64 (-.f64 (.f64 (/.f64 (.f64 beta #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64)) #s(literal 3/32 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) alpha))) 3/32))
(.f64 (-.f64 (.f64 #s(literal -1/256 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) (.f64 alpha alpha)) (/.f64 (.f64 beta #s(literal 48 binary64)) alpha))) #s(literal 3/32 binary64)) (.f64 alpha alpha))
(/ (* i (+ beta i)) (pow alpha 2))
(*.f64 (/.f64 (+.f64 i beta) 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 (-.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 (.f64 (+.f64 i beta) i) (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) beta))) 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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(/ (* alpha i) (pow beta 2))
(*.f64 (/.f64 alpha beta) (/.f64 i beta))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 i i) alpha) i) (*.f64 beta beta)) alpha)
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(/ (* alpha i) beta)
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(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
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(/ alpha beta)
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(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (+ (* -1 (/ i alpha)) (/ i alpha))))
(.f64 (fma.f64 #s(literal 0 binary64) (/.f64 i alpha) #s(literal 1 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ i alpha)) (+ (* -1 (/ (pow i 2) (pow alpha 2))) (/ i alpha)))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) alpha)) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (.f64 i i) alpha) (/.f64 i alpha))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) alpha) #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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(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 1 binary64)) alpha)
(* i (+ beta i))
(*.f64 (+.f64 i beta) 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 i beta) i (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha)) (/.f64 (.f64 (.f64 (+.f64 i beta) i) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta))) 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)))))
(-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) alpha) (/.f64 (.f64 i i) alpha) (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)) alpha) (/.f64 (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.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 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) 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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (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) (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) alpha) (/.f64 (.f64 i i) alpha) (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)) alpha) (/.f64 (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (.f64 alpha alpha)))))
(* 1/32 (pow alpha 2))
(.f64 (.f64 alpha alpha) #s(literal 1/32 binary64))
(* (pow alpha 2) (- (+ 1/32 (* -1/16 (/ (+ beta (* 2 beta)) alpha))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) alpha)) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) alpha)))))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) beta) alpha) #s(literal -1/16 binary64) #s(literal 1/32 binary64)) (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) alpha)) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ 1/32 (+ (* -1/16 (/ (+ beta (* 2 beta)) alpha)) (* -1/16 (/ (pow beta 2) (pow alpha 2))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow alpha 2))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) alpha)) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) alpha)))))))
(.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) beta) alpha) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 1/32 binary64)) (fma.f64 (/.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) alpha) (/.f64 #s(literal -2 binary64) alpha) (fma.f64 (/.f64 (.f64 beta #s(literal 0 binary64)) alpha) #s(literal -2 binary64) (.f64 #s(literal -1/256 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) (.f64 alpha alpha)) (/.f64 (.f64 beta #s(literal 48 binary64)) alpha)))))) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ beta (* 2 beta)) (* alpha i))) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) (* alpha i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) beta) alpha) i) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (/.f64 (fma.f64 (.f64 beta #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 0 binary64)))) (.f64 i alpha))) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ beta (* 2 beta)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (* (pow alpha 2) i))) (* -1/256 (/ (+ (* 8 beta) (* 40 beta)) (* alpha i))))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) alpha) (.f64 #s(literal 3 binary64) (/.f64 beta i)) (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 alpha alpha)) (/.f64 (.f64 beta beta) i) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) beta) (.f64 alpha alpha)) (.f64 (/.f64 beta i) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (.f64 (/.f64 beta i) #s(literal 0 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) (.f64 alpha alpha)) (/.f64 (.f64 beta #s(literal 48 binary64)) alpha)) i))))) (*.f64 alpha alpha))
(* 1/32 (/ (pow alpha 2) (pow i 2)))
(.f64 (/.f64 #s(literal 1/32 binary64) i) (/.f64 (.f64 alpha alpha) i))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) i) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 (.f64 beta #s(literal 0 binary64)) alpha) (.f64 (/.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) i) #s(literal -1/256 binary64)))) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* (pow alpha 2) i))) (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2)))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (* (pow alpha 2) i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))))))))
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(* alpha beta)
(*.f64 alpha beta)
(* alpha (+ beta (* -1 (/ (* beta i) alpha))))
(.f64 (fma.f64 (.f64 beta (/.f64 i alpha)) #s(literal -1 binary64) beta) alpha)
(* 1/4 alpha)
(*.f64 #s(literal 1/4 binary64) alpha)
(* alpha (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) alpha))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) beta) alpha) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha)
(* 1/4 (* alpha i))
(.f64 (.f64 #s(literal 1/4 binary64) alpha) i)
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)))
(.f64 (fma.f64 (.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (.f64 #s(literal 1/4 binary64) i)) alpha)
(* (pow alpha 2) (- (* -1 (/ (+ (* -1/256 (+ (* -40 beta) (* -8 beta))) (* 2 (+ (* -1/8 beta) (* 1/8 beta)))) alpha)) 3/32))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64))) alpha)) #s(literal 3/32 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))))) alpha)) (+ (* -1/256 (+ (* -40 beta) (* -8 beta))) (* 2 (+ (* -1/8 beta) (* 1/8 beta))))) alpha)) 3/32))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64))) alpha) #s(literal -1 binary64) (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64)))) alpha)) #s(literal 3/32 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64))) i)) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/16 (/ (pow beta 2) i))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 beta #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64)))) i)) alpha))) (/.f64 (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64))) i)) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha))
(* (pow alpha 2) (- (* 1/256 (/ (+ (* -40 beta) (* -8 beta)) alpha)) 3/32))
(.f64 (-.f64 (.f64 (/.f64 (.f64 beta #s(literal -48 binary64)) alpha) #s(literal 1/256 binary64)) #s(literal 3/32 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1/256 (+ (* -40 beta) (* -8 beta))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha))) alpha)) 3/32))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/256 binary64) (.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64))) alpha)) #s(literal 3/32 binary64)) (*.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 i beta)) 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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))
(.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (+.f64 i beta))) i))) alpha) (fma.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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (/.f64 (-.f64 (.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 i beta) #s(literal 2 binary64)) (.f64 i i)))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)) alpha))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(.f64 (neg.f64 alpha) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 i i) alpha) i) (.f64 beta beta))))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) alpha) #s(literal 1 binary64)))
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))))
(.f64 (neg.f64 alpha) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 i i) alpha) i) beta)))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ i (* -1 i))) (/ (pow i 2) alpha)) alpha))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) i) #s(literal -1 binary64) (/.f64 (.f64 i i) alpha)) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (.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 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) #s(literal 1 binary64)))
(* -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 #s(literal 2 binary64) i 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 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) 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 (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 #s(literal 2 binary64) i 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 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)))
(* (pow alpha 2) (+ 1/32 (* -1 (/ (- (* -1/16 (+ (* -2 beta) (* -1 beta))) (+ (* -1/256 (+ (* -40 beta) (* -8 beta))) (* 2 (+ (* -1/8 beta) (* 1/8 beta))))) alpha))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 beta #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) #s(literal 1/32 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1/32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (pow beta 2)) (+ (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))) (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))))) alpha)) (* -1/16 (+ (* -2 beta) (* -1 beta)))) (+ (* -1/256 (+ (* -40 beta) (* -8 beta))) (* 2 (+ (* -1/8 beta) (* 1/8 beta))))) alpha))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 beta #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64)))) alpha))) (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) #s(literal 1/32 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 beta) (* -1 beta)) i)) (+ (* -1/256 (/ (+ (* -40 beta) (* -8 beta)) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64))) i)) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)))) alpha)) (* -1/16 (/ (+ (* -2 beta) (* -1 beta)) i))) (+ (* -1/256 (/ (+ (* -40 beta) (* -8 beta)) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 20 binary64) (.f64 beta beta) (.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 beta #s(literal 0 binary64)) beta) #s(literal -2 binary64)))) i) alpha))) (/.f64 (fma.f64 (.f64 beta #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) #s(literal 2 binary64))) i)) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) i) (.f64 (/.f64 beta i) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (* -1/16 (/ (pow beta 2) (pow i 2)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) i)))) alpha)) (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
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(* -1 (* alpha (+ (* -1 beta) (/ (* beta i) alpha))))
(*.f64 (neg.f64 alpha) (fma.f64 beta (/.f64 i alpha) (neg.f64 beta)))
(* -1 (* alpha (- (* -1/4 (/ (- (* 2 beta) beta) alpha)) 1/4)))
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(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i))))
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(+ (* -1/8 alpha) (* 1/8 alpha))
(*.f64 alpha #s(literal 0 binary64))
(+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))))
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(+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (+ (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))) (* beta (+ (* -2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -1/256 (+ (* 8 alpha) (* 40 alpha)))))))
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(+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (+ (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))) (* beta (+ (* -2 (+ (* -1/8 alpha) (* 1/8 alpha))) (+ (* -3/32 beta) (* -1/256 (+ (* 8 alpha) (* 40 alpha))))))))
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(- (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (+ (* -1/16 (/ (pow alpha 2) i)) (* beta (- (* -1/16 (+ (* 2 (/ alpha i)) (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))))))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i))))
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(- (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (+ (* -1/16 (/ (pow alpha 2) i)) (* beta (- (+ (* -1/16 (+ (* 2 (/ alpha i)) (/ alpha i))) (* 1/32 (/ beta i))) (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))))))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i))))
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(* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))))
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(+ (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))) (* beta (+ (* -3/32 beta) (* -1/256 (+ (* 8 alpha) (* 40 alpha))))))
(fma.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 #s(literal -3/32 binary64) beta)) beta (.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64)))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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beta
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(* 1/32 (pow beta 2))
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(* (pow beta 2) (- (+ 1/32 (* -1/16 (/ (+ alpha (* 2 alpha)) beta))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) beta)) (* -1/256 (/ (+ (* 8 alpha) (* 40 alpha)) beta)))))
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(* (pow beta 2) (- (+ 1/32 (+ (* -1/16 (/ (+ alpha (* 2 alpha)) beta)) (* -1/16 (/ (pow alpha 2) (pow beta 2))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow beta 2))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow beta 2))) (* -1/256 (/ (+ (* 8 alpha) (* 40 alpha)) beta)))))))
(.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) alpha) beta) (.f64 (/.f64 alpha beta) (/.f64 alpha beta))) #s(literal 1/32 binary64)) (fma.f64 (/.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) beta) (/.f64 #s(literal -2 binary64) beta) (fma.f64 (/.f64 (.f64 alpha #s(literal 0 binary64)) beta) #s(literal -2 binary64) (.f64 #s(literal -1/256 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) (.f64 beta beta)) (/.f64 (.f64 alpha #s(literal 48 binary64)) beta)))))) (*.f64 beta beta))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ alpha (* 2 alpha)) (* beta i))) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 alpha) (* 40 alpha)) (* beta i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) alpha) beta) i) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) (.f64 i beta))) (*.f64 beta beta))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ alpha (* 2 alpha)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (* (pow beta 2) i))) (* -1/256 (/ (+ (* 8 alpha) (* 40 alpha)) (* beta i))))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 #s(literal 3 binary64) alpha) beta) (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (/.f64 (.f64 alpha alpha) i) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 beta beta)) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) beta) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) (.f64 beta beta)) (/.f64 (.f64 alpha #s(literal 48 binary64)) beta)) i))))) (*.f64 beta beta))
(* 1/32 (/ (pow beta 2) (pow i 2)))
(.f64 (/.f64 #s(literal 1/32 binary64) i) (/.f64 (.f64 beta beta) i))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) i) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 (.f64 alpha #s(literal 0 binary64)) beta) (.f64 (/.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) i) #s(literal -1/256 binary64)))) (.f64 beta beta))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* (pow beta 2) i))) (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2)))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (* (pow beta 2) i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) i) (.f64 (/.f64 alpha beta) (/.f64 #s(literal 0 binary64) beta)) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 i i)) (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 i i)) (.f64 (/.f64 alpha beta) (/.f64 #s(literal 0 binary64) beta)) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 (.f64 alpha #s(literal 0 binary64)) beta) (.f64 #s(literal -1/256 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) i) (.f64 beta beta)) (/.f64 (.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta)) i))))) (.f64 beta beta))
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* beta (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) beta))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) alpha) alpha) beta) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) beta)
(* 1/4 (* beta i))
(.f64 (.f64 #s(literal 1/4 binary64) beta) i)
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)))
(.f64 (fma.f64 (.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) alpha) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) beta) (.f64 #s(literal 1/4 binary64) i)) beta)
(* (pow beta 2) (- (* -1 (/ (+ (* -1/256 (+ (* -40 alpha) (* -8 alpha))) (* 2 (+ (* -1/8 alpha) (* 1/8 alpha)))) beta)) 3/32))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64))) beta)) #s(literal 3/32 binary64)) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))))) beta)) (+ (* -1/256 (+ (* -40 alpha) (* -8 alpha))) (* 2 (+ (* -1/8 alpha) (* 1/8 alpha))))) beta)) 3/32))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) beta) #s(literal -1 binary64) (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64)))) beta)) #s(literal 3/32 binary64)) (*.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64))) i)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -1/16 (/ (pow alpha 2) i))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 alpha alpha) #s(literal -1/16 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))) i)) beta))) (/.f64 (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64))) i)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 beta beta))
(* (pow beta 2) (- (* 1/256 (/ (+ (* -40 alpha) (* -8 alpha)) beta)) 3/32))
(.f64 (-.f64 (.f64 (/.f64 (.f64 alpha #s(literal -48 binary64)) beta) #s(literal 1/256 binary64)) #s(literal 3/32 binary64)) (.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/256 (+ (* -40 alpha) (* -8 alpha))) (* 1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) beta))) beta)) 3/32))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) beta) #s(literal 1/256 binary64) (.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64))) beta)) #s(literal 3/32 binary64)) (*.f64 beta beta))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(.f64 (/.f64 (neg.f64 i) beta) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) 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))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) beta))) (*.f64 beta beta))
(/ (+ (* -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))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) beta))) (.f64 beta beta))
(/ (+ (* -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))
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(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)) #s(literal 1 binary64)))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(.f64 (neg.f64 i) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))
(+ (* -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)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) 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)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) 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)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) beta) (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) beta)))
(* (pow beta 2) (+ 1/32 (* -1 (/ (- (* -1/16 (+ (* -2 alpha) (* -1 alpha))) (+ (* -1/256 (+ (* -40 alpha) (* -8 alpha))) (* 2 (+ (* -1/8 alpha) (* 1/8 alpha))))) beta))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 alpha #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) #s(literal 1/32 binary64)) (*.f64 beta beta))
(* (pow beta 2) (+ 1/32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (pow alpha 2)) (+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2)))))) beta)) (* -1/16 (+ (* -2 alpha) (* -1 alpha)))) (+ (* -1/256 (+ (* -40 alpha) (* -8 alpha))) (* 2 (+ (* -1/8 alpha) (* 1/8 alpha))))) beta))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 alpha #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 alpha alpha) #s(literal -1/16 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))) beta))) (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) #s(literal 1/32 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 alpha) (* -1 alpha)) i)) (+ (* -1/256 (/ (+ (* -40 alpha) (* -8 alpha)) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64))) i)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)))) beta)) (* -1/16 (/ (+ (* -2 alpha) (* -1 alpha)) i))) (+ (* -1/256 (/ (+ (* -40 alpha) (* -8 alpha)) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 alpha alpha) #s(literal -1/16 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))) i) beta))) (/.f64 (fma.f64 (.f64 alpha #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal 2 binary64))) i)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) i) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)) (* -1/16 (/ (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) i)))) beta)) (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 alpha alpha) i) (/.f64 (neg.f64 (.f64 alpha #s(literal 0 binary64))) i)) (fma.f64 (/.f64 #s(literal -2 binary64) i) (/.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) i) (.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) i) i) #s(literal -1/256 binary64)))) beta))) (fma.f64 (/.f64 #s(literal 2 binary64) i) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 beta beta))
(* -1 (* beta (- (* -1/4 (/ (- (* 2 alpha) alpha) beta)) 1/4)))
(.f64 (neg.f64 beta) (-.f64 (.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) alpha) alpha) beta) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i))))
(.f64 (neg.f64 beta) (fma.f64 #s(literal -1/4 binary64) i (neg.f64 (.f64 (.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) alpha) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) beta)))))
(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(/.f64 (-.f64 (.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.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))) #s(literal -1/256 binary64)))) i)
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(/.f64 (fma.f64 (neg.f64 i) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (-.f64 (.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.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))) #s(literal -1/256 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)))))
(.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 alpha beta)))) 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 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 (/.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 alpha beta) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 alpha beta)))) 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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(* 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 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))
(* i (+ 1 (/ alpha i)))
(*.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i)
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) (.f64 i i))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) i)
(* (pow i 2) (- (+ (* -1 (/ alpha i)) (/ alpha i)) 1))
(.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha i)) #s(literal 1 binary64)) (*.f64 i i))
(* (pow i 2) (- (+ (* -1 (/ alpha i)) (+ (/ alpha i) (/ (pow alpha 2) (pow i 2)))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 alpha i) (.f64 (/.f64 alpha i) (/.f64 alpha i))) #s(literal 1 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 alpha beta) 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))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 4 binary64) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 i i))) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 (+.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) i)
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i 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))))))
(.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 i i))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 alpha beta)) (.f64 i i))))) (.f64 i i))
(* (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))))))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) beta) alpha) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 i i))))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) (fma.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i) #s(literal 1/4 binary64)) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 alpha beta) (.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 alpha beta)) (pow.f64 i #s(literal 3 binary64)))))))) (*.f64 i i))
(* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64))) i)
(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64))) (/.f64 (-.f64 (.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.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))) #s(literal -1/256 binary64)))) i)) i)
(* i (+ (* -1 beta) (/ (* alpha beta) i)))
(*.f64 (fma.f64 alpha (/.f64 beta i) (neg.f64 beta)) i)
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))))
(.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i 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)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) (.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))) #s(literal -1/256 binary64)))) 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 alpha beta) beta) alpha) i) #s(literal 1/16 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 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) (.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))) #s(literal -1/256 binary64)))))) (fma.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 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) (.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))) #s(literal -1/256 binary64)))) (+.f64 alpha beta)) i) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) (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 #s(literal -1/256 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)))))) i))) i) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))))) i) #s(literal -1 binary64) #s(literal 1/16 binary64))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) i) #s(literal 1 binary64)))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (.f64 i beta)) (/.f64 #s(literal 1 binary64) beta)))
(* (pow i 2) (- (* -1 (/ (+ alpha (* -1 alpha)) i)) 1))
(.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha i))) #s(literal 1 binary64)) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ alpha (+ (* -1 alpha) (* -1 (/ (pow alpha 2) i)))) i)) 1))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (/.f64 (.f64 alpha alpha) i))) i)) #s(literal 1 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 #s(literal -4 binary64) (+.f64 alpha beta) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) i))) i) #s(literal -1 binary64) #s(literal 4 binary64)) (.f64 i i))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal 2 binary64)))
(* (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 (fma.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) #s(literal -1 binary64) (/.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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 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 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64) (/.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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 alpha beta))))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 alpha beta))))) (+.f64 alpha beta)))) i)) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 i i))
(* -1 (/ (+ (* -1 (/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(neg.f64 (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.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))) #s(literal -1/256 binary64)))) i))) i))
(* -1 (* i (+ beta (* -1 (/ (* alpha beta) i)))))
(.f64 (neg.f64 i) (fma.f64 (.f64 alpha (/.f64 beta i)) #s(literal -1 binary64) beta))

rewrite208.0ms (1.9%)

Memory

14.8MiB live, 342.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	894
0	127	788
1	538	643
2	5157	643
0	8653	611

Stop Event

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

Counts

28 → 614

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/256 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))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/16777216 binary64) (pow.f64 (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)))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/256 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))))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 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)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 0 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))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1/256 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 (.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 1/8 binary64)) (+.f64 alpha beta) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 1/8 binary64)) (+.f64 alpha beta) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 (.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal -2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 #s(literal 1/8 binary64) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/256 binary64) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta)) (.f64 #s(literal 1/256 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 #s(literal 1/8 binary64) (+.f64 alpha beta)) (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 alpha beta) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (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)))) #s(literal -1/256 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/256 binary64)) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/64 binary64) (fma.f64 #s(literal -5/64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 0 binary64)))
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(.f64 i (.f64 (+.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 binary64)) i))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 2 binary64))) (.f64 i i)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (.f64 i i)) (fma.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (-.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i)))
(/.f64 (.f64 (.f64 i i) (+.f64 (pow.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (fma.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (-.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (.f64 i i) (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(fma.f64 (.f64 i i) #s(literal 1/4 binary64) (.f64 (.f64 i i) (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i)))
(fma.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (.f64 i i) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (.f64 i i)))
(+.f64 (.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (.f64 i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 (/.f64 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i) (.f64 i i)))
(+.f64 (.f64 (.f64 i i) (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) beta)) i)) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (.f64 (.f64 i i) (/.f64 #s(approx (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (*.f64 #s(literal 1/4 binary64) beta)) i)))

eval1.0s (9.4%)

Memory: -27.5MiB live, 426.0MiB allocated
Compiler: Compiled 83 863 to 4 929 computations (94.1% saved)

prune57.0ms (0.5%)

Memory

-15.3MiB live, 138.0MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	782	10	792
Fresh	11	4	15
Picked	4	1	5
Done	0	1	1
Total	797	16	813

Accuracy

99.4%

Counts

813 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 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)))
	30.4%	#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 (fma.f64 (/.f64 alpha beta) i (*.f64 (/.f64 i beta) i)) beta))
	12.9%	#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) (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 beta beta)))
	20.0%	#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 (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (/.f64 i beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 i beta) #s(literal 2 binary64)) (.f64 (/.f64 alpha beta) (/.f64 i beta))))) i) beta))
	30.4%	#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 i beta) (+.f64 i alpha)) beta))
▶	28.6%	#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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	29.2%	#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 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))) i) 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 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta))
▶	71.4%	#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 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)))
▶	64.9%	#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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
✓	16.4%	#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 alpha i) (/.f64 i (.f64 beta beta))))
	28.7%	#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 i beta)) (/.f64 i beta)))
▶	11.8%	#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)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	22.0%	#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 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
	24.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
✓	72.7%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 2 466 to 945 computations (61.7% saved)

simplify157.0ms (1.4%)

Memory

-10.1MiB live, 268.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i))
cost-diff	0	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 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)))
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	1	(-.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	0	#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)
cost-diff	0	(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) 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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
cost-diff	0	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
cost-diff	0	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
cost-diff	0	(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) 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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
cost-diff	0	(/.f64 alpha beta)
cost-diff	0	#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))
cost-diff	0	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha 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 alpha beta)) (/.f64 i beta)))
cost-diff	2	(-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))
cost-diff	3	(fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))
cost-diff	3	(fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64)))
cost-diff	3	(fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1666
0	154	1506
1	401	1211
2	1410	1172
3	7666	1143
0	9613	1057

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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i))
#s(literal 1/16 binary64)
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i)))
(-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))
(fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))))
(*.f64 alpha #s(literal 0 binary64))
alpha
#s(literal 0 binary64)
#s(literal -1 binary64)
(fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal -1/16 binary64)))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i)
(fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta))
(*.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
#s(literal -1/16 binary64)
(*.f64 #s(literal 1/32 binary64) beta)
#s(literal 1/32 binary64)
beta
i
(/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)
(fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64)))
(*.f64 alpha #s(literal 48 binary64))
#s(literal 48 binary64)
#s(literal -1/256 binary64)
(.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))
(/.f64 (*.f64 alpha alpha) i)
(*.f64 alpha alpha)
(/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i)
(fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))
(fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 alpha alpha) #s(literal 20 binary64)))
(-.f64 (*.f64 alpha alpha) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 alpha alpha) #s(literal 20 binary64))
#s(literal 20 binary64)
(.f64 (.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))
(.f64 (.f64 alpha #s(literal 0 binary64)) alpha)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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)))
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))
(/.f64 alpha beta)
alpha
beta
(/.f64 i 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))
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
#s(approx (/ (+ alpha i) beta) (/.f64 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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i))
#s(literal 1/16 binary64)
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i)))
(.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))
#s(literal 1/32 binary64)
(/.f64 (*.f64 beta beta) i)
(*.f64 beta beta)
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 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)))) (*.f64 (+.f64 i alpha) i))
(*.f64 (+.f64 i alpha) i)
(+.f64 i alpha)
i
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))
(.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 alpha beta)
beta
(*.f64 #s(literal 2 binary64) i)
#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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) 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(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64))))) i))) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64))))) i))) i))
#s(literal 1/16 binary64)
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64))))) i))) i)
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i)))
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64))))) i)))
(-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))
(-.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64))))) i))
(fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))))
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))
(*.f64 alpha #s(literal 0 binary64))
#s(literal 0 binary64)
alpha
#s(literal 0 binary64)
#s(literal -1 binary64)
(fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal -1/16 binary64)))
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i))
(-.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i)
(/.f64 (fma.f64 #s(literal -3/16 binary64) alpha (*.f64 #s(literal 1/32 binary64) beta)) i)
(fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta))
(fma.f64 #s(literal -3/16 binary64) alpha (*.f64 #s(literal 1/32 binary64) beta))
(*.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
#s(literal -1/16 binary64)
(*.f64 #s(literal 1/32 binary64) beta)
#s(literal 1/32 binary64)
beta
i
(/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)
(/.f64 (*.f64 #s(literal -3/16 binary64) alpha) i)
(fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -3/16 binary64) alpha)
(*.f64 alpha #s(literal 48 binary64))
(*.f64 #s(literal 48 binary64) alpha)
#s(literal 48 binary64)
#s(literal -1/256 binary64)
(.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
(.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))
(/.f64 (*.f64 alpha alpha) i)
(*.f64 alpha alpha)
(/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i)
(/.f64 (fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64)))) i)
(fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))
(fma.f64 #s(literal -5/64 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/64 binary64) (fma.f64 alpha alpha #s(literal -1 binary64))))
(fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 alpha alpha) #s(literal 20 binary64)))
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64)))
(-.f64 (*.f64 alpha alpha) #s(literal 1 binary64))
(fma.f64 alpha alpha #s(literal -1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 alpha alpha) #s(literal 20 binary64))
#s(literal 20 binary64)
(.f64 (.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))
#s(literal 0 binary64)
(.f64 (.f64 alpha #s(literal 0 binary64)) alpha)
#s(literal 0 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 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 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))))
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))
(*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))
(/.f64 alpha beta)
alpha
beta
(/.f64 i 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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
#s(approx (/ (+ alpha i) beta) (/.f64 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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) 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(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64))) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64))) i))
#s(literal 1/16 binary64)
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64))) i)
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i)))
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64)))
(.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))
(.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64))
#s(literal 1/32 binary64)
(/.f64 (*.f64 beta beta) i)
(*.f64 beta beta)
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 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)))
(/.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)) (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(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i))
#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 i alpha) i)
(*.f64 (+.f64 alpha i) i)
(+.f64 i alpha)
(+.f64 alpha i)
i
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 alpha beta)
(+.f64 beta alpha)
beta
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize436.0ms (4%)

Memory

-3.5MiB live, 619.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.01171875	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	15.786468548442732	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i))
accuracy	35.38660874036028	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 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)))
accuracy	4.131286354657261	(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)
accuracy	8.702253762545773	(/.f64 (*.f64 beta beta) i)
accuracy	17.98457091928363	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
accuracy	30.014669123711073	#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i)))
accuracy	0.12109375	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
accuracy	2.651343850000534	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
accuracy	4.745825460308662	(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
accuracy	44.43880356369409	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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))
accuracy	0.0	(/.f64 alpha beta)
accuracy	0.1953125	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))
accuracy	44.43880356369409	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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)))
accuracy	60.0404972222441	#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))
accuracy	1.2604460731023561	(/.f64 (*.f64 alpha alpha) i)
accuracy	3.1230908597963207	(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i))
accuracy	4.131286354657261	(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)
accuracy	17.98457091928363	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)))

Samples

202.0ms	119×	1	valid
126.0ms	134×	0	valid
4.0ms	3×	2	valid

Compiler

Compiled 1 202 to 95 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-mult: 102.0ms (40.6% of total)

ival-add: 75.0ms (29.9% of total)

ival-div: 25.0ms (10% of total)

adjust: 22.0ms (8.8% of total)

ival-sub: 19.0ms (7.6% of total)

ival-pow2: 4.0ms (1.6% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 2.0ms (0.8% of total)

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

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

series126.0ms (1.1%)

Memory

16.2MiB live, 152.5MiB allocated

Counts

27 → 228

Calls

Call 1

Inputs
(fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))))
(fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))
(-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) 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 alpha beta)) (/.f64 i beta)))
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))
(/.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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
#s(approx (/ (+ 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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i))
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(*.f64 #s(literal 2 binary64) i)

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	alpha	@	inf	((+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -2)) (- (+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (/ (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -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)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ alpha 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ 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)) (- 1/16 (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) (/ (* alpha alpha) i) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
27.0ms	beta	@	inf	((+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -2)) (- (+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (/ (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -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)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ alpha 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ 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)) (- 1/16 (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) (/ (* alpha alpha) i) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
9.0ms	alpha	@	0	((+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -2)) (- (+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (/ (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -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)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ alpha 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ 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)) (- 1/16 (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) (/ (* alpha alpha) i) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
9.0ms	i	@	inf	((+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -2)) (- (+ (* (* alpha 0) -1) (+ (* (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) beta) (* (/ (* alpha alpha) i) -1/16))) (/ (+ (* (+ (* (- (* alpha alpha) 1) 4) (* (* alpha alpha) 20)) -1/256) (* (* (* alpha 0) alpha) -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)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ alpha 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 i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ 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)) (- 1/16 (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ 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)))) (* (+ (+ alpha beta) (* 2 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)) (/ (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) i) (- (/ (+ (* (* 3 alpha) -1/16) (* 1/32 beta)) i) (/ (+ (* (* alpha 48) -1/256) (* (* alpha 0) -2)) i)) (/ (* alpha alpha) i) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
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simplify323.0ms (2.9%)

Memory

-8.5MiB live, 281.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1656	14554
1	6120	14261
0	9105	13151

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

Outputs
(* 1/32 (/ (pow beta 2) i))
(.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64))
(+ (* -1/16 (/ (pow alpha 2) i)) (* 1/32 (/ (pow beta 2) i)))
(/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1/16 binary64) (.f64 (*.f64 beta beta) #s(literal 1/32 binary64))) i)
(* -3/16 alpha)
(*.f64 #s(literal -3/16 binary64) alpha)
1/64
#s(literal 1/64 binary64)
(+ 1/64 (* -3/32 (pow alpha 2)))
(fma.f64 #s(literal -3/32 binary64) (*.f64 alpha alpha) #s(literal 1/64 binary64))
(- (* 1/32 (/ (pow beta 2) i)) (* 1/64 (/ 1 i)))
(-.f64 (.f64 (/.f64 (.f64 beta beta) i) #s(literal 1/32 binary64)) (/.f64 #s(literal 1/64 binary64) i))
(- (+ (* 1/32 (/ (pow alpha 2) i)) (* 1/32 (/ (pow beta 2) i))) (* 1/64 (/ 1 i)))
(-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (fma.f64 alpha alpha (.f64 beta beta)) i)) (/.f64 #s(literal 1/64 binary64) i))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(.f64 (/.f64 (.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 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 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (.f64 (/.f64 (.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))
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(/ (* alpha i) (pow beta 2))
(*.f64 (/.f64 alpha beta) (/.f64 i beta))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
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(*.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)
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(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
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(* -1/32 (/ (pow alpha 2) (pow i 2)))
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(* (pow alpha 2) (- (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/32 (/ 1 (pow i 2))))))
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(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 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)) (/ 1/16 (pow alpha 2)))))) (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* (pow alpha 2) i))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))))
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(* 1/32 (/ (pow alpha 2) (pow i 2)))
(.f64 (/.f64 #s(literal 1/32 binary64) i) (/.f64 (.f64 alpha alpha) i))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))))))
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(* (pow alpha 2) (- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* (pow alpha 2) i))) (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2)))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (* (pow alpha 2) i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))))))))
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(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)))))
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(* (pow alpha 2) (- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow alpha 2))) (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)))))))
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) alpha) #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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alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
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(* i (+ beta i))
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(- (+ (* 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)))))
(-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) alpha) (/.f64 (.f64 i i) alpha) (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)) alpha) (/.f64 (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.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 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) 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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (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) (-.f64 (fma.f64 (+.f64 i beta) i (fma.f64 (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) alpha) (/.f64 (.f64 i i) alpha) (/.f64 (.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)) alpha) (/.f64 (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (+.f64 i beta)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) (.f64 (.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (.f64 alpha alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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))
(.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i beta)))))) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (+.f64 i beta))) i))) alpha) (fma.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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (/.f64 (-.f64 (.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 i beta) #s(literal 2 binary64)) (.f64 i i)))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (.f64 #s(literal -1 binary64) (+.f64 i beta))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)) alpha))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(.f64 (neg.f64 alpha) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 i i) alpha) i) (.f64 beta beta))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)))
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))))
(.f64 (neg.f64 alpha) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 i i) alpha) i) beta)))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2)))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64) (.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64))) alpha)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2))))))) (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (* -1/16 (/ (pow beta 2) (pow i 2))))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) beta))) (.f64 i i)) #s(literal 1/16 binary64)) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 beta beta) i) (neg.f64 (/.f64 (.f64 beta #s(literal 0 binary64)) i)))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64) (.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64)))) alpha)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)) (* -1/16 (/ (pow beta 2) (pow i 2)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) i)))) alpha)) (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 beta beta) i) (neg.f64 (/.f64 (.f64 beta #s(literal 0 binary64)) i))) (fma.f64 (/.f64 #s(literal -2 binary64) i) (.f64 beta (/.f64 (.f64 beta #s(literal 0 binary64)) i)) (.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64))) i) i) #s(literal -1/256 binary64)))) alpha))) (fma.f64 (/.f64 (.f64 (/.f64 beta i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (.f64 (.f64 (/.f64 beta (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (/.f64 (.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1/16 (/ (pow beta 2) i))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 beta beta) i) (neg.f64 (.f64 beta #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 beta #s(literal 0 binary64)) beta))) i)) alpha))) (fma.f64 (.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (/.f64 (.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (.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 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) #s(literal 1 binary64)))
(* -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 #s(literal 2 binary64) i 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 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) 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 (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 #s(literal 2 binary64) i 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 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(- (* -1/16 (/ (pow alpha 2) i)) (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)))
(fma.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64) (.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 alpha alpha) #s(literal 20 binary64))) i)))
(- (+ (* -1/16 (/ (pow alpha 2) i)) (* 1/32 (/ (pow beta 2) i))) (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)))
(/.f64 (-.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1/16 binary64) (.f64 (.f64 beta beta) #s(literal 1/32 binary64))) (.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64))) i)
(/ (* (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 i alpha) #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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(* -1/32 (/ (pow beta 2) (pow i 2)))
(.f64 (/.f64 #s(literal -1/32 binary64) i) (/.f64 (.f64 beta beta) i))
(* (pow beta 2) (- (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/32 (/ 1 (pow i 2))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 (.f64 alpha #s(literal 0 binary64)) beta) (.f64 (/.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha (.f64 i i))) beta) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i)))) (.f64 beta beta))
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 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)) (/ 1/16 (pow beta 2)))))) (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* (pow beta 2) i))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 beta beta)) (.f64 (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (/.f64 alpha i)) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 (.f64 alpha #s(literal 0 binary64)) beta) (fma.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) (.f64 i i)) (.f64 beta beta)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 beta beta)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 beta beta)) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha (.f64 i i))) beta) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (.f64 (/.f64 alpha i) (/.f64 alpha i)) (/.f64 #s(literal 1/32 binary64) (.f64 i i)))))) (.f64 beta beta))
(* 1/32 (/ (pow beta 2) (pow i 2)))
(.f64 (/.f64 #s(literal 1/32 binary64) i) (/.f64 (.f64 beta beta) i))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))))))
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(* (pow beta 2) (- (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* (pow beta 2) i))) (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2)))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (* (pow beta 2) i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 beta beta)) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1/16 binary64) beta) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha i)) i) (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (.f64 (/.f64 alpha i) (/.f64 alpha i)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 beta beta)) (.f64 (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (/.f64 alpha i)) (fma.f64 #s(literal -1/256 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) i) (.f64 beta beta)) (/.f64 (.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta)) i) (.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 (.f64 alpha #s(literal 0 binary64)) beta))))) (*.f64 beta beta))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)))))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (fma.f64 (/.f64 #s(literal -2 binary64) beta) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64)))) (.f64 beta beta))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow beta 2))) (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (.f64 alpha #s(literal 0 binary64)) beta) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (/.f64 (.f64 alpha alpha) i) (/.f64 #s(literal 1/32 binary64) i)))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 beta beta)) (.f64 alpha (.f64 (/.f64 alpha i) #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) beta) (.f64 (/.f64 alpha i) #s(literal 0 binary64)) (.f64 #s(literal -1/256 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) i) (.f64 beta beta)) (/.f64 (.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta)))))) (.f64 beta beta))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64)) (*.f64 beta beta))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(.f64 (-.f64 (+.f64 (+.f64 (/.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)) (.f64 beta beta))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (*.f64 beta beta))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 1 binary64)) beta)
(* i (+ alpha i))
(*.f64 (+.f64 i alpha) i)
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(-.f64 (fma.f64 (+.f64 i alpha) i (/.f64 (.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) i) beta)) (/.f64 (.f64 (.f64 (+.f64 i alpha) i) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) 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)))))
(-.f64 (fma.f64 (+.f64 i alpha) i (fma.f64 (/.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) beta) (/.f64 (.f64 i i) beta) (/.f64 (.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) i) beta))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 i alpha)) beta) (/.f64 (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 i alpha)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (.f64 (.f64 (+.f64 i alpha) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (*.f64 beta beta))))
(- (+ (* -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)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 i alpha)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (.f64 (.f64 (+.f64 i alpha) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 i alpha)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (+.f64 i alpha) i (fma.f64 (/.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) beta) (/.f64 (.f64 i i) beta) (/.f64 (.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) i) beta))) (fma.f64 i (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 i alpha)) beta) (/.f64 (fma.f64 (.f64 i (-.f64 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 i alpha)))) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (.f64 (.f64 (+.f64 i alpha) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(.f64 (+.f64 (+.f64 (/.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)) (.f64 beta beta))) #s(literal 1 binary64)) (.f64 beta beta))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(.f64 (/.f64 (neg.f64 i) beta) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) 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))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) beta))) (*.f64 beta beta))
(/ (+ (* -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))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) beta))) (.f64 beta beta))
(/ (+ (* -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))
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2)))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64) (.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64))) beta)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2))))))) (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)) (* -1/16 (/ (pow alpha 2) (pow i 2))))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 #s(literal -2 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) alpha))) (.f64 i i)) #s(literal 1/16 binary64)) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 alpha alpha) i) (neg.f64 (.f64 (/.f64 alpha i) #s(literal 0 binary64))))) beta) #s(literal -1 binary64) (-.f64 (fma.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64) (.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64)))) beta)) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (*.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)) (* -1/16 (/ (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) i)))) beta)) (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (/.f64 (.f64 alpha alpha) i) (neg.f64 (.f64 (/.f64 alpha i) #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) i) (.f64 alpha (.f64 (/.f64 alpha i) #s(literal 0 binary64))) (.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) i) i) #s(literal -1/256 binary64)))) beta))) (fma.f64 (/.f64 (.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (.f64 (.f64 (/.f64 alpha (.f64 i i)) #s(literal 0 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 i i))) (.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (.f64 (/.f64 alpha i) #s(literal -48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 (/.f64 alpha i) #s(literal 0 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 beta beta))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -1/16 (/ (pow alpha 2) i))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
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(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)) #s(literal 1 binary64)))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(.f64 (neg.f64 i) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))
(+ (* -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)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) 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)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) 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)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) beta) (.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (.f64 i i))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 #s(literal -1 binary64) (+.f64 i alpha))))) (.f64 (neg.f64 i) (.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) (+.f64 i alpha) (.f64 (neg.f64 i) (+.f64 i alpha))) i (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 #s(literal -1 binary64) (+.f64 i alpha)))))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -2 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(/ (+ (* -1/16 (pow alpha 2)) (* 1/32 (pow beta 2))) i)
(/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1/16 binary64) (.f64 (*.f64 beta beta) #s(literal 1/32 binary64))) i)
(/ (- (+ (* -1/16 (pow alpha 2)) (* 1/32 (pow beta 2))) (* -1/256 (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))))) i)
(/.f64 (-.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1/16 binary64) (.f64 (.f64 beta beta) #s(literal 1/32 binary64))) (.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64))) i)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 i beta) alpha) (*.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)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 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 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #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 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #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)))))
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(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 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 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 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #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 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #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 (/.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(* i (+ (/ alpha beta) (/ i beta)))
(*.f64 (/.f64 (+.f64 i alpha) beta) i)
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64))) (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) (.f64 i i))
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 binary64)) (fma.f64 (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64)))) (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) (*.f64 i i))
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (- (* 1/16 i) (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) i (.f64 #s(literal 1 binary64) (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64)))) (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) (.f64 i i))
(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2))
(/.f64 (-.f64 (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64)))) (.f64 i i))
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -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))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(/.f64 (-.f64 (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64)))) i)
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
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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)))
(+ alpha beta)
(+.f64 beta alpha)
(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 (.f64 i beta) alpha) (+.f64 beta alpha))
(* 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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(pow (+ alpha beta) 2)
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
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(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
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(* 2 i)
(*.f64 #s(literal 2 binary64) i)
1/16
#s(literal 1/16 binary64)
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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)))))))))
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(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
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(* i (+ (/ 1 beta) (/ alpha (* beta i))))
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(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
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(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))
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(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
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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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(* i (+ 2 (+ (/ alpha i) (/ beta i))))
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(* 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))))
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(* (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))))))
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(* (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))))))))
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(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
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(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) #s(literal -1 binary64) (/.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 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (.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))) #s(literal -1/256 binary64)))) 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 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (.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))) #s(literal -1/256 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 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (.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))) #s(literal -1/256 binary64)))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #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)))) (.f64 #s(literal -1/256 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)))))) i))) i) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) i) #s(literal -1 binary64) #s(literal 1/16 binary64))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (.f64 i beta)) (/.f64 #s(literal 1 binary64) beta)))
(+ 1/16 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)))
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64))) (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) i)) (.f64 (+.f64 beta alpha) #s(literal 0 binary64))) i) #s(literal -1 binary64) #s(literal 1/16 binary64))
(* -1 (/ (+ (* -1 (/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(neg.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64)))) i))) i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 beta alpha) (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))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (+.f64 beta alpha) i)) #s(literal 2 binary64)))
(* (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 (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) #s(literal -1 binary64) (/.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 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha))))) 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 #s(literal 2 binary64) (+.f64 beta alpha)) (+.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 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha))))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.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 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha))))) (+.f64 beta alpha)))) i)) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 i i))
(* -1 (/ (- (* -1 (+ (* -3/16 alpha) (* 1/32 beta))) (* 3/16 alpha)) i))
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -3/16 binary64) alpha (.f64 #s(literal 1/32 binary64) beta)) #s(literal -1 binary64) (.f64 #s(literal -3/16 binary64) alpha)) i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 beta alpha) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i) #s(literal -1 binary64) #s(literal 4 binary64)) (.f64 i i))

rewrite226.0ms (2%)

Memory

-8.9MiB live, 174.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1196
0	154	1018
1	762	803
2	7045	803
0	8517	756

Stop Event

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

Counts

27 → 359

Calls

Call 1

Inputs
(fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64))))
(fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64)))
(-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) 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 alpha beta)) (/.f64 i beta)))
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))
(/.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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
#s(approx (/ (+ 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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i))
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)
#s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta 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 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 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)))) (*.f64 (+.f64 i alpha) 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(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)))
(/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (*.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i))
(/.f64 (*.f64 alpha alpha) i)
(/.f64 (*.f64 beta beta) i)
(.f64 (+.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
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -3/16 binary64) alpha) (fma.f64 #s(literal -1/32 binary64) beta (.f64 #s(literal -3/16 binary64) alpha))) i) beta) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)) (.f64 (/.f64 (-.f64 (.f64 #s(literal -3/16 binary64) alpha) (fma.f64 #s(literal -1/32 binary64) beta (.f64 #s(literal -3/16 binary64) alpha))) i) beta)))
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(/.f64 (-.f64 (.f64 #s(literal -3/16 binary64) alpha) (fma.f64 #s(literal -1/32 binary64) beta (.f64 #s(literal -3/16 binary64) alpha))) i)
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(+.f64 (/.f64 (.f64 #s(literal -3/16 binary64) alpha) i) (-.f64 (/.f64 (.f64 beta #s(literal 1/32 binary64)) i) (/.f64 (*.f64 #s(literal -3/16 binary64) alpha) i)))
(*.f64 (/.f64 alpha i) alpha)
(*.f64 (neg.f64 alpha) (/.f64 (neg.f64 alpha) i))
(*.f64 (fabs.f64 alpha) (/.f64 (fabs.f64 alpha) i))
(*.f64 alpha (/.f64 alpha i))
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(neg.f64 (/.f64 (*.f64 (neg.f64 alpha) alpha) i))
(*.f64 (/.f64 beta i) beta)
(*.f64 (neg.f64 beta) (/.f64 (neg.f64 beta) i))
(*.f64 (fabs.f64 beta) (/.f64 (fabs.f64 beta) i))
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(neg.f64 (/.f64 (*.f64 (neg.f64 beta) beta) i))
(neg.f64 (/.f64 (*.f64 beta beta) (neg.f64 i)))
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(*.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(*.f64 (fabs.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (fabs.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fabs.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 2 binary64)) #s(literal 1 binary64))
(.f64 (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 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (-.f64 (+.f64 beta alpha) i) i))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64)))) (-.f64 (-.f64 (+.f64 beta alpha) i) i))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i))) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64)))) (.f64 (-.f64 (-.f64 (+.f64 beta alpha) i) i) (-.f64 (-.f64 (+.f64 beta alpha) i) i)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (.f64 (-.f64 (-.f64 (+.f64 beta alpha) i) i) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (-.f64 (+.f64 beta alpha) i) i)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) #s(literal 2 binary64) (.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) (.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 beta alpha) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i beta)))
(fma.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)))
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i))
(fma.f64 #s(literal 2 binary64) (.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)))
(fma.f64 i (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)))
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(literal 2 binary64) i)))
(fabs.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64))))
(+.f64 (.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i beta)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 i i) (.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (.f64 i i) (.f64 i i))))
(+.f64 i i)

eval192.0ms (1.7%)

Memory: 19.1MiB live, 207.4MiB allocated
Compiler: Compiled 86 856 to 4 347 computations (95% saved)

prune79.0ms (0.7%)

Memory

-12.2MiB live, 81.7MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	611	7	618
Fresh	2	7	9
Picked	3	2	5
Done	0	2	2
Total	616	18	634

Accuracy

99.4%

Counts

634 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i 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)))
	18.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 (+.f64 i beta) alpha) i) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (+.f64 beta alpha))) #s(literal 1 binary64)))
	30.4%	#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 (fma.f64 (/.f64 alpha beta) i (*.f64 (/.f64 i beta) i)) beta))
	12.9%	#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) (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 beta beta)))
	20.0%	#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 (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (/.f64 i beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 i beta) #s(literal 2 binary64)) (.f64 (/.f64 alpha beta) (/.f64 i beta))))) i) beta))
	30.4%	#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 i beta) (+.f64 i alpha)) beta))
✓	28.6%	#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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	29.2%	#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 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))) i) 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 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta))
	11.8%	#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)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (*.f64 alpha (/.f64 i beta))) beta))
	71.9%	#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 #s(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 beta i) beta))) i)))
	28.7%	#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 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 i beta))))
✓	16.4%	#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 alpha i) (/.f64 i (.f64 beta beta))))
✓	11.8%	#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)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	22.0%	#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 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
	23.1%	#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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta)))
✓	72.7%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 4 599 to 844 computations (81.6% saved)

regimes73.0ms (0.7%)

Memory

26.0MiB live, 79.6MiB allocated

Counts

46 → 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)) (.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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.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 #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 i beta) #s(approx (/ (+ 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 #s(approx (* (/ (+ alpha i) beta) i) (*.f64 alpha (/.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 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i 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 #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 i (/.f64 (/.f64 (+.f64 i alpha) 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 (/.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 i beta) (+.f64 i 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 (/.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 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 beta i) 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(literal 1/16 binary64) (/.f64 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 beta beta) i))) i)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (+.f64 beta alpha))) #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 i 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)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 beta) i (*.f64 (/.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 #s(approx (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.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) (.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) 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) (-.f64 alpha i)) (*.f64 (-.f64 alpha i) beta)) (/.f64 i beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 i alpha) i)) (-.f64 (.f64 (+.f64 (+.f64 (+.f64 i beta) alpha) 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 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)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 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 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) 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 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))) i) beta))
(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (pow (+ (* 2 i) (+ beta alpha)) 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)))
(/.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 #s(approx ( 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (.f64 #s(literal 1/4 binary64) 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)))
(/.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) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) 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 (+ (+ alpha beta) 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) (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 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 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.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)) #s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)))
(/.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)))
(/.f64 (/.f64 (.f64 (+.f64 (+.f64 beta i) alpha) (.f64 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)))
(/.f64 (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (fma.f64 (+.f64 (+.f64 beta alpha) i) 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 (+.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)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 #s(approx (+ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) -1) (/ (- (* (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) 1/16) (+ (* (* -2 (+ beta alpha)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (* -1/256 (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20))))) i)) (-.f64 (fma.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) #s(literal -1/16 binary64) (.f64 #s(literal 1/32 binary64) beta)) i) (/.f64 (fma.f64 (.f64 alpha #s(literal 48 binary64)) #s(literal -1/256 binary64) (.f64 (.f64 alpha #s(literal 0 binary64)) #s(literal -2 binary64))) i)) beta (.f64 (/.f64 (.f64 alpha alpha) i) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 alpha alpha) #s(literal 20 binary64))) #s(literal -1/256 binary64) (.f64 (.f64 (.f64 alpha #s(literal 0 binary64)) alpha) #s(literal -2 binary64))) i))) i)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 beta i) alpha) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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 beta alpha) i) i (.f64 beta alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (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)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (fma.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))) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (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 #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)))))) 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 (/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (/.f64 i beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 i beta) #s(literal 2 binary64)) (.f64 (/.f64 alpha 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 (/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (/.f64 i beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 i beta) #s(literal 2 binary64)) (.f64 (/.f64 alpha beta) (/.f64 i beta))))) 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)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))

Calls

4 calls:

37.0ms	alpha
11.0ms	i
11.0ms	beta
9.0ms	(/.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
78.2%	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)))`
78.5%	2	`alpha`
88.3%	2	`beta`
82.0%	2	`i`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

11 → 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)) (.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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.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 #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 i beta) #s(approx (/ (+ 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 #s(approx (* (/ (+ alpha i) beta) i) (*.f64 alpha (/.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 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i 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 #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 i (/.f64 (/.f64 (+.f64 i alpha) 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 (/.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:

3.0ms

beta

Results

Accuracy	Segments	Branch
86.9%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.2%)

Memory

-38.0MiB live, 9.1MiB 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)) (.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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.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 #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)) (*.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta)))

Calls

2 calls:

21.0ms	i
2.0ms	beta

Results

Accuracy	Segments	Branch
75.9%	2	`i`
81.3%	2	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes4.0ms (0%)

Memory

8.5MiB live, 8.5MiB 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)) (*.f64 (+.f64 alpha i) (/.f64 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

3 calls:

1.0ms

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
74.9%	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)))`
74.6%	2	`alpha`
77.6%	2	`beta`

Compiler

Compiled 55 to 23 computations (58.2% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB 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

4 calls:

1.0ms	beta
1.0ms	i
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
72.7%	1	`alpha`
72.7%	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)))`
72.7%	1	`i`
72.7%	1	`beta`

Compiler

Compiled 56 to 26 computations (53.6% saved)

bsearch12.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.858120501391586e+135	1.1742552683977054e+136

Samples

7.0ms

80×

valid

Compiler

Compiled 646 to 238 computations (63.2% saved)

Precisions

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

ival-mult: 2.0ms (41% of total)

ival-div: 1.0ms (20.5% of total)

ival-add: 1.0ms (20.5% 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)

bsearch22.0ms (0.2%)

Memory

-26.5MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.589133056654129e+168	6.097322763275757e+170

Samples

16.0ms

112×

valid

Compiler

Compiled 910 to 331 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 7.0ms (54% of total)

ival-mult: 3.0ms (23.1% of total)

ival-add: 2.0ms (15.4% of total)

ival-div: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	6.589133056654129e+168	6.097322763275757e+170

Samples

1.0ms

16×

valid

Compiler

Compiled 910 to 338 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.158134131033634e+250	4.2154176274689504e+251

Samples

8.0ms

96×

valid

Compiler

Compiled 764 to 281 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (51.6% of total)

ival-add: 2.0ms (34.4% of total)

ival-div: 1.0ms (17.2% 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)

simplify124.0ms (1.1%)

Memory

-10.9MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	551
1	108	551
2	484	551
3	4263	497

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 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 14000000000000000750022918929226281319960427805755407195484427086356981269239631531980197815535215360627091035258707761911533604698983735825147770568973443949127515766784 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 14200000000000000234002220523327484998408880416322243718730547378603769733945998121939185174296372919990987764919768927830446798868445791368033056822057816681364555038720 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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 71999999999999994318971981991458591343891079395016001084638927416372570839803219220019413820278549837594621384050624732874914457144697470046825055819852499690226024602925368590373667417482657960211984013382469340858431015993810999504462378550909992960 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)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 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 14000000000000000750022918929226281319960427805755407195484427086356981269239631531980197815535215360627091035258707761911533604698983735825147770568973443949127515766784 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 14200000000000000234002220523327484998408880416322243718730547378603769733945998121939185174296372919990987764919768927830446798868445791368033056822057816681364555038720 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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 71999999999999994318971981991458591343891079395016001084638927416372570839803219220019413820278549837594621384050624732874914457144697470046825055819852499690226024602925368590373667417482657960211984013382469340858431015993810999504462378550909992960 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)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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))

soundness793.0ms (7.2%)

Memory

-17.8MiB live, 576.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	11239
1	4076	10377
0	8872	9515
0	104	1196
0	154	1018
1	762	803
2	7045	803
0	8517	756
0	1869	15345
1	6920	14996
0	8739	13835
0	57	578
0	94	485
1	409	485
2	3523	485
0	8299	482
0	1674	16503
1	6045	16302
0	8498	14922

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×	iter limit
1×	node limit

Compiler

Compiled 785 to 170 computations (78.3% saved)

preprocess64.0ms (0.6%)

Memory: 22.6MiB live, 122.7MiB allocated
Compiler: Compiled 1 452 to 184 computations (87.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.2%)

sample1.9s (17%)

explain308.0ms (2.8%)

preprocess144.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (1.3%)

localize50.0ms (0.5%)

series114.0ms (1%)

simplify234.0ms (2.1%)

rewrite363.0ms (3.3%)

eval275.0ms (2.5%)

prune69.0ms (0.6%)

simplify358.0ms (3.2%)

localize574.0ms (5.2%)

series396.0ms (3.6%)

simplify303.0ms (2.7%)

rewrite277.0ms (2.5%)

eval327.0ms (3%)

prune105.0ms (1%)

simplify215.0ms (2%)

localize462.0ms (4.2%)

series127.0ms (1.2%)

simplify311.0ms (2.8%)

rewrite208.0ms (1.9%)

eval1.0s (9.4%)

prune57.0ms (0.5%)

simplify157.0ms (1.4%)

localize436.0ms (4%)

series126.0ms (1.1%)

simplify323.0ms (2.9%)

rewrite226.0ms (2%)

eval192.0ms (1.7%)

prune79.0ms (0.7%)

regimes73.0ms (0.7%)

regimes4.0ms (0%)

regimes23.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch12.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch3.0ms (0%)

bsearch14.0ms (0.1%)

simplify124.0ms (1.1%)

soundness793.0ms (7.2%)

preprocess64.0ms (0.6%)

end0.0ms (0%)

Profiling