Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze27.0ms (0.2%)

Memory

-6.0MiB live, 33.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.7s (15.2%)

Memory

-67.0MiB live, 2 458.9MiB allocated

Samples

970.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 673.0ms

ival-mult: 238.0ms (35.4% of total)

ival-add: 161.0ms (23.9% of total)

ival->: 95.0ms (14.1% of total)

ival-div: 88.0ms (13.1% of total)

ival-sub: 59.0ms (8.8% of total)

ival-and: 16.0ms (2.4% of total)

exact: 13.0ms (1.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain243.0ms (2.1%)

Memory

29.8MiB live, 498.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
216	-	-	`(/.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))))`
151	-	-	`(/.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	166	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	151
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	19
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	298
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.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	126	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	151
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	19
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	298
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
↳	`(/.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	126
↳	`(-.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	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.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	50	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	151
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	19
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	298
`/.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	25	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	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166

Confusion

	Predicted +	Predicted -
+	216	0
-	0	40

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	0	0
-	0	0	40

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	40
1	65
2	151

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 426 to 55 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 21.0ms (54.4% of total)

ival-add: 9.0ms (23.3% of total)

ival-div: 5.0ms (12.9% of total)

ival-sub: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess180.0ms (1.6%)

Memory

-4.4MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 56 to 17 computations (69.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.2%	(/.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)))

Status

Accuracy

Program

▶

16.2%

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

Compiler

Compiled 56 to 17 computations (69.6% saved)

simplify208.0ms (1.8%)

Memory

5.7MiB live, 175.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	128	(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))
cost-diff	384	(/.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)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (0.7%)

Memory

-3.0MiB live, 80.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.08041000976844202	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	36.048010782296224	(/.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	46.26311668093688	(/.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

70.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

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

ival-mult: 7.0ms (45.1% of total)

ival-add: 4.0ms (25.8% of total)

ival-div: 3.0ms (19.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series99.0ms (0.9%)

Memory

-15.5MiB live, 102.0MiB allocated

Counts

7 → 252

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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))))
7.0ms	beta	@	inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* 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	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))))
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))))
5.0ms	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))))

simplify304.0ms (2.7%)

Memory

-35.8MiB live, 361.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 164×	`lower-fma.f64`
9 164×	`lower-fma.f32`
5 962×	`lower-+.f64`
5 962×	`lower-+.f32`
4 964×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	12630
1	3841	11840
0	8260	10972

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

rewrite439.0ms (3.8%)

Memory

21.0MiB live, 292.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	157
0	29	127
1	146	127
2	1503	127
0	8201	117

Stop Event

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

Counts

7 → 609

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

eval448.0ms (3.9%)

Memory: 15.3MiB live, 437.6MiB allocated
Compiler: Compiled 120 180 to 4 636 computations (96.1% saved)

prune308.0ms (2.7%)

Memory

16.9MiB live, 488.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 382	14	1 396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 383	14	1 397

Accuracy

84.9%

Counts

1 397 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.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)))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 beta alpha) (.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64)))
	37.5%	(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	37.5%	(/.f64 (.f64 (neg.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i)) (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (neg.f64 (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))))
	15.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	38.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	42.3%	(.f64 (pow.f64 (.f64 (+.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)) (.f64 (+.f64 (+.f64 beta alpha) i) i))) #s(literal -1 binary64)) (pow.f64 (.f64 (-.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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) #s(literal -1 binary64)))
▶	37.5%	(.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	42.5%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
▶	15.7%	(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
▶	13.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
▶	15.5%	#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 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))))
	14.0%	#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 (neg.f64 i) (/.f64 (-.f64 (neg.f64 i) alpha) (.f64 beta beta))))
▶	70.6%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 1 140 to 450 computations (60.5% saved)

simplify182.0ms (1.6%)

Memory

-18.1MiB live, 143.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
cost-diff	384	(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))
cost-diff	1024	(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
cost-diff	0	(+.f64 (+.f64 beta alpha) i)
cost-diff	0	(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))
cost-diff	384	(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))
cost-diff	384	(.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
cost-diff	0	(/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) 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 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(*.f64 (+.f64 alpha i) i)
cost-diff	0	(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Rules

8 216×	`lower-fma.f32`
8 206×	`lower-fma.f64`
4 660×	`lower-*.f32`
4 630×	`lower-*.f64`
3 526×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	723
0	86	700
1	255	700
2	962	700
3	5941	692
4	6972	651
0	8007	651

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

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

localize238.0ms (2.1%)

Memory

18.8MiB live, 226.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i)
accuracy	0.18871837772560565	(/.f64 #s(literal 1 binary64) (.f64 (-.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)))))
accuracy	5.81225404683613	(/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	48.713712384955834	(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
accuracy	0.1015625	(.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
accuracy	40.22084450056092	(/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	40.233116437845595	(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))
accuracy	0.08822250976844202	(.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	2.968724400385356	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))))
accuracy	35.19589225447126	(.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))
accuracy	52.71687214129442	(/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))
accuracy	0	(*.f64 (+.f64 alpha i) i)
accuracy	0	(*.f64 beta beta)
accuracy	19.217227422532105	(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
accuracy	18.830665587603978	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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

187.0ms

256×

valid

Compiler

Compiled 741 to 52 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 80.0ms (60.7% of total)

ival-div: 34.0ms (25.8% of total)

ival-add: 15.0ms (11.4% of total)

ival-sub: 2.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series328.0ms (2.9%)

Memory

9.8MiB live, 240.6MiB allocated

Counts

22 → 684

Calls

Call 1

Inputs
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)) (patch (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 alpha i) i) (patch (.f64 (+.f64 alpha i) i) #<representation binary64>) () ())
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())
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Outputs
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#s(alt (pow i 3) (taylor -inf i) (#s(alt (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (patch (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (- (* -1 (/ (+ alpha beta) i)) 1))) (taylor -inf i) (#s(alt (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (patch (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1))) (taylor -inf i) (#s(alt (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (patch (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1))) (taylor -inf i) (#s(alt (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) (patch (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
87.0ms	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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (* (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (+ (+ beta alpha) i) (* (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (* beta beta) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i))
38.0ms	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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (* (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (+ (+ beta alpha) i) (* (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (* beta beta) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i))
35.0ms	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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (* (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (+ (+ beta alpha) i) (* (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (* beta beta) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i))
18.0ms	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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (* (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (+ (+ beta alpha) i) (* (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (* beta beta) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i))
17.0ms	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)) (/ (/ (* (* i (+ (+ alpha beta) 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) (+ alpha i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (* (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (+ (+ beta alpha) i) (* (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (/ (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (+ 1 (+ (* 2 i) (+ beta alpha)))) (* (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i) (+ (+ beta alpha) i)) (* beta beta) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ (+ beta alpha) i) i) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ 1 (* (- (+ (* 2 i) (+ beta alpha)) 1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) i))

simplify467.0ms (4.1%)

Memory

-9.4MiB live, 390.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 012×	`lower-*.f64`
6 012×	`lower-*.f32`
4 774×	`lower-+.f64`
4 774×	`lower-+.f32`
3 690×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2946	54224
0	8436	51402

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 672

Calls

Call 1

Inputs
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (pow i 2) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* 2 (/ i beta))) (* 8 (/ i beta))) (pow beta 2))
(/ (- (+ 1 (+ (* 2 (/ i beta)) (+ (/ 1 (pow beta 2)) (/ (pow i 2) (pow beta 2))))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2))))))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 8 (* i (- (+ 1 (pow i 2)) (+ (* 8 (* i (- (* 2 i) (* 8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2))))))) (+ (* 16 (pow i 3)) (* (- (* 2 i) (* 8 i)) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) (pow beta 3))) (+ (* 2 (/ i beta)) (+ (/ 1 (pow beta 2)) (/ (pow i 2) (pow beta 2)))))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2))))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(/ (+ alpha i) beta)
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (+ (* 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) 1)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))))) (* (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))) beta)
beta
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (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) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 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) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (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 (* i (+ alpha i)))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))) beta) (/ (* (+ 1 (+ alpha (* 2 i))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))))) (pow beta 2)))))
(* beta (- (+ (* -1 (/ (* (+ 1 (+ alpha (* 2 i))) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha 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 (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))) beta) (/ (* (+ 1 (+ alpha (* 2 i))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))))) (pow beta 2)))))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(* (pow beta 4) (- (+ 1 (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2)))))) (/ 1 (pow beta 2))))
(* (pow beta 4) (- (+ 1 (+ (* 4 (/ (* i (- (* 4 (pow i 2)) 1)) (pow beta 3))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (+ (* 16 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 3) (pow beta 3)))))))) (/ 1 (pow beta 2))))
(/ i beta)
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 alpha) (* 4 i)) (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))) beta)
(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))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(/ 1 (pow beta 3))
(/ (- (+ 1 (/ 1 beta)) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (/ alpha beta))))) (pow beta 3))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (+ (* (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (pow (+ alpha (* 2 i)) 2))) (pow beta 2))) (/ 1 beta))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (/ alpha beta))))) (pow beta 3))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (+ (* (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (pow (+ alpha (* 2 i)) 2))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1))) (+ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2)) (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ 1 beta))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow beta 2)) (+ (/ (* (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (pow beta 3))
(* beta (* i (+ alpha i)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(* -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 i 2) (pow beta 2))
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -2 i) (* -8 i)) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -2 i) (* -1 (/ (- (+ 1 (pow i 2)) (+ (* -8 (* i (- (* -2 i) (* -8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2))))) beta))) (* -8 i)) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -2 i) (* -1 (/ (- (+ 1 (+ (* -16 (/ (pow i 3) beta)) (+ (* -8 (/ (* i (- (+ 1 (pow i 2)) (+ (* -8 (* i (- (* -2 i) (* -8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))))) beta)) (+ (* -4 (/ (* i (- (* 4 (pow i 2)) 1)) beta)) (+ (/ (* (- (* -2 i) (* -8 i)) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (pow i 2)))))) (+ (* -8 (* i (- (* -2 i) (* -8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2))))) beta))) (* -8 i)) beta))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (/ (+ (* -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)) (/ (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) 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))))))) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (/ (* (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) (- (pow (+ alpha (* 2 i)) 2) 1)) beta)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (* i (+ alpha i))) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) beta))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) beta))) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* -1 (/ (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1)))) beta)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1) beta))) beta))))
(/ i beta)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -1 (/ (* i (pow (+ alpha (* 2 i)) 2)) beta)) (* i (+ alpha i)))) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))))) (* -1 (* i (pow (+ alpha (* 2 i)) 2))))) beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))))) (* -1 (* i (pow (+ alpha (* 2 i)) 2))))) beta)) (* i (+ alpha i))) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(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))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(/ 1 (pow beta 3))
(* -1 (/ (- (* -1 (/ (- 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)) beta)) (+ (* -1 (/ (* (- 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)) beta)) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))))) (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))) (- 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))))) beta)) (+ (/ (* (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (+ (* -1 (* (- 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (+ (* -1 (* (- 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))) beta))) (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -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))))
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (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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(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* (+ beta i) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))))) (* (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* (+ beta i) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
alpha
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (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) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 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) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (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 (+ beta i)))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta i))) 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 (* (+ 1 (+ beta (* 2 i))) (+ beta i))) alpha) (/ (* (+ 1 (+ beta (* 2 i))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (* 2 i))) (+ beta i))))) (pow alpha 2)))))
(* alpha (- (+ (* -1 (/ (* (+ 1 (+ beta (* 2 i))) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (* 2 i))) (+ beta 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 (* (+ 1 (+ beta (* 2 i))) (+ beta i))) alpha) (/ (* (+ 1 (+ beta (* 2 i))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (* 2 i))) (+ beta i))))) (pow alpha 2)))))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(/ i alpha)
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
(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))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(/ 1 (pow alpha 3))
(/ (- (+ 1 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (/ beta alpha))))) (pow alpha 3))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (+ (* (- 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (pow (+ beta (* 2 i)) 2))) (pow alpha 2))) (/ 1 alpha))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (/ beta alpha))))) (pow alpha 3))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (+ (* (- 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (pow (+ beta (* 2 i)) 2))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1))) (+ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2)) (- 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ 1 alpha))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow alpha 2)) (+ (/ (* (- 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (pow alpha 2)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))))) (pow alpha 3))
(* alpha (* i (+ beta i)))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -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)) (/ (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1)) 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))))))) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) alpha)) (/ (* (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) alpha)) (* i (+ beta i))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(/ i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) alpha)) (* i (+ beta i)))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (* i (+ beta i))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(/ 1 (pow alpha 3))
(* -1 (/ (- (* -1 (/ (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)) alpha)) (+ (* -1 (/ (* (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)) alpha)) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))) (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) alpha)) (+ (/ (* (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (+ (* -1 (* (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (+ (* -1 (* (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))) alpha))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 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)))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* alpha i)
(* i (+ alpha i))
(* i (+ alpha i))
(* i (+ alpha i))
alpha
(+ alpha i)
(+ alpha i)
(+ alpha 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)))))
(/ (pow i 2) (- (pow beta 2) 1))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ 1 (- (pow beta 2) 1))
(+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))
(+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))
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(+ alpha beta)
(+ alpha (+ beta i))
(+ alpha (+ beta i))
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1))))
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(/ (* alpha (* beta (* i (+ alpha beta)))) (+ 1 (+ alpha beta)))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (+ 1 (+ alpha beta)))) (* 2 (/ beta (+ 1 (+ alpha beta))))) (* 2 (/ (- (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta)))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2)))) (+ 1 (+ alpha beta)))))) (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta))))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2))))) (/ (* alpha (* beta (+ alpha beta))) (+ 1 (+ alpha beta)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (+ 1 (+ alpha beta)))) (+ (* 2 (/ beta (+ 1 (+ alpha beta)))) (* i (- (/ 1 (+ 1 (+ alpha beta))) (* 2 (/ (- (+ (* 2 (/ alpha (+ 1 (+ alpha beta)))) (* 2 (/ beta (+ 1 (+ alpha beta))))) (* 2 (/ (- (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta)))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2)))) (+ 1 (+ alpha beta))))) (+ 1 (+ alpha beta)))))))) (* 2 (/ (- (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta)))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2)))) (+ 1 (+ alpha beta)))))) (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta))))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2))))) (/ (* alpha (* beta (+ alpha beta))) (+ 1 (+ 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 beta 2) (- (pow beta 2) 1))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* (pow beta 2) (- (pow beta 2) 1)))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (+ (* 16 (pow beta 2)) (* 32 (* beta i))))))))) (* (pow beta 2) (- (pow beta 2) 1)))
(/ i (+ alpha beta))
(* i (+ (* -3 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))
(* i (+ (* i (- (* 8 (/ i (pow (+ alpha beta) 3))) (* 3 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))
(* i (+ (* i (- (* i (+ (* -20 (/ i (pow (+ alpha beta) 4))) (* 8 (/ 1 (pow (+ alpha beta) 3))))) (* 3 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))
(pow (+ alpha beta) 2)
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(/ 1 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))
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(* alpha (* beta i))
(* i (+ (* alpha beta) (* i (+ alpha beta))))
(* i (+ (* alpha beta) (* i (+ alpha (+ beta i)))))
(* i (+ (* alpha beta) (* i (+ alpha (+ beta i)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(pow i 2)
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
i
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ 1/16 (pow i 2))
(/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2))
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2))
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3)))))) (pow i 2))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
1/4
(- (+ 1/4 (* 1/4 (/ (* alpha beta) (pow i 2)))) (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (pow (+ alpha beta) 2) (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1))))) (* 1/4 (* (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1))) (- (pow (+ alpha beta) 2) 1)))) (pow i 4))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (/ (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1)))) (pow i 3))))
i
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ 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 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ 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 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3)))))))))
(* 1/2 (pow i 3))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ 1 (+ alpha beta)) i))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ 1 (+ alpha beta)) i)) (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 2))))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ 1 (+ alpha beta)) i)) (+ (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 2))) (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ 1 (+ 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))))))))
(* 16 (pow i 4))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (* beta (- (pow beta 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 4 (/ (pow beta 3) (pow i 3))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))))
1/4
(+ 1/4 (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ alpha beta) 4)) (* 1/16 (pow (+ alpha beta) 4))) (pow i 4)))) (+ (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 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)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(/ 1/8 (pow i 3))
(/ (+ 1/8 (* -1/64 (/ (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) i))) (pow i 3))
(/ (- (+ 1/8 (* -1 (/ (+ (* -1/512 (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 2)))) (* 1/64 (/ (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) i))) (pow i 3))
(/ (- (+ 1/8 (* -1 (/ (+ (* -1/8 (* (+ (* -1/512 (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (+ (* -1/512 (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (* 1/64 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (pow i 3)))) (+ (* -1/512 (/ (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2) (pow i 2))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))) (pow i 2))) (* 1/64 (/ (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) i))))) (pow i 3))
(pow i 3)
(* (pow i 3) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 3) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 3) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(pow i 2)
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
i
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ 1/16 (pow i 2))
(/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2))
(/ (- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2))
(/ (- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
1/4
(- (+ 1/4 (* 1/4 (/ (* alpha beta) (pow i 2)))) (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1)))) i)) (* 1/4 (/ (* (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1))) (- (pow (+ alpha beta) 2) 1)) i))) (* -1 (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (- (pow (+ alpha beta) 2) 1)))))) (pow i 3))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))))
i
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i)))
(* 1/2 (pow i 3))
(* -1 (* (pow i 3) (- (* -1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/2 (* -1/4 (/ (+ 1 (+ alpha beta)) i))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta))))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta))))) i))) i)) 1/2)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta))))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta)))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta)))))))) i))) i))) i)) 1/2)))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(* 16 (pow i 4))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) i))) i))))
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) i)) (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))) i))) i))))
1/4
(+ 1/4 (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(+ 1/4 (+ (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))))
(+ 1/4 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow (+ alpha beta) 4)) (* 1/64 (pow (+ alpha beta) 4))) i)) (* -1/16 (pow (+ alpha beta) 3))) (pow i 3))) (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(/ 1/8 (pow i 3))
(* -1 (/ (- (* 1/64 (/ (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) i)) 1/8) (pow i 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/512 (/ (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2) i)) (* 1/64 (/ (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))) i))) (* 1/64 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) 1/8) (pow i 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/512 (/ (* (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) i)) (+ (* 1/64 (/ (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)) i)) (* 1/8 (/ (* (+ (* 1/512 (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) i)))) (+ (* 1/512 (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))))) i)) (* 1/64 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) 1/8) (pow i 3)))
(pow i 3)
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha beta) i)) 1)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))

Outputs
(/ (* (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))
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(* beta (+ alpha i))
(*.f64 beta (+.f64 alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
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(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(.f64 beta (+.f64 alpha (+.f64 i (/.f64 (.f64 i (+.f64 alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(.f64 beta (+.f64 alpha (+.f64 i (/.f64 (.f64 i (+.f64 alpha i)) beta))))
(/ (+ alpha i) beta)
(/.f64 (+.f64 alpha i) beta)
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta)) beta)
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(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (+ (* 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)
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beta
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 i beta)))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 i beta)))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
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(/ (* i (+ alpha i)) (pow beta 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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(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))) beta)))
(.f64 beta (-.f64 (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) beta)) (/.f64 (.f64 (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (+.f64 alpha i)) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))) beta) (/ (* (+ 1 (+ alpha (* 2 i))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))))) (pow beta 2)))))
(.f64 beta (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 i (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha i)) beta) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha i))))) (*.f64 beta beta)))))
(* beta (- (+ (* -1 (/ (* (+ 1 (+ alpha (* 2 i))) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha 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 (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))) beta) (/ (* (+ 1 (+ alpha (* 2 i))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha i))))) (pow beta 2)))))
(.f64 beta (-.f64 (+.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha i)))))) (.f64 (.f64 beta beta) beta)))) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta))))) (fma.f64 i (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha i)) beta) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha i))))) (.f64 beta beta)))))
(* (pow beta 2) (* i (+ alpha i)))
(.f64 (.f64 (*.f64 beta beta) i) (+.f64 alpha i))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha 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)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 beta 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)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 4)
(pow.f64 beta #s(literal 4 binary64))
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 i beta))))
(* (pow beta 4) (- (+ 1 (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2)))))) (/ 1 (pow beta 2))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (/.f64 i beta) (.f64 (/.f64 (.f64 i i) (.f64 beta beta)) #s(literal 24 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(* (pow beta 4) (- (+ 1 (+ (* 4 (/ (* i (- (* 4 (pow i 2)) 1)) (pow beta 3))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (+ (* 16 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 3) (pow beta 3)))))))) (/ 1 (pow beta 2))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (.f64 (.f64 beta beta) beta)) (fma.f64 #s(literal 8 binary64) (/.f64 i beta) (fma.f64 (/.f64 (.f64 i i) (.f64 beta beta)) #s(literal 24 binary64) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 beta beta) beta)))))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(/ i beta)
(/.f64 i beta)
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/.f64 (-.f64 (+.f64 i (/.f64 (.f64 i (+.f64 alpha i)) beta)) (/.f64 (.f64 i (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) beta)) beta)
(/ (- (+ i (+ (* -1 (/ (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/.f64 (-.f64 (+.f64 i (+.f64 (neg.f64 (/.f64 (fma.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 i (-.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)))))) (.f64 beta beta))) (/.f64 (.f64 i (+.f64 alpha i)) beta))) (/.f64 (.f64 i (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) beta)) beta)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 alpha) (* 4 i)) (+ (* i (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i)))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* i (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))) beta)
(/.f64 (-.f64 (+.f64 i (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (fma.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 i (-.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)))))))) (.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)))))) (.f64 (.f64 beta beta) beta))) (/.f64 (.f64 i (+.f64 alpha i)) beta))) (fma.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) beta) (fma.f64 i (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 i (-.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i))))) (.f64 beta beta))))) beta)
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (*.f64 #s(literal 4 binary64) (/.f64 i beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta beta))))))
(/ 1 (pow beta 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) beta))
(/ (- (+ 1 (/ 1 beta)) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (/ alpha beta))))) (pow beta 3))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta))))) (.f64 (.f64 beta beta) beta))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (+ (* (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (pow (+ alpha (* 2 i)) 2))) (pow beta 2))) (/ 1 beta))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (/ alpha beta))))) (pow beta 3))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (-.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) (-.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (.f64 beta beta))) (/.f64 #s(literal 1 binary64) beta))) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta))))) (.f64 (.f64 beta beta) beta))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (+ (* (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (pow (+ alpha (* 2 i)) 2))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1))) (+ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2)) (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ 1 beta))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow beta 2)) (+ (/ (* (- 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (pow beta 3))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (-.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) (-.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (-.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (-.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (-.f64 (-.f64 #s(literal 1 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) (.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))))) (.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) beta)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (+.f64 (/.f64 alpha beta) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (/.f64 (-.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (.f64 beta beta)) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) (/.f64 (-.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) #s(literal 1 binary64)) (.f64 beta beta)) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta beta)))))))))) (.f64 (.f64 beta beta) beta))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(.f64 beta (fma.f64 i (+.f64 alpha i) (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(.f64 beta (fma.f64 i (+.f64 alpha i) (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(.f64 beta (fma.f64 i (+.f64 alpha i) (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/.f64 (.f64 (neg.f64 i) (+.f64 (neg.f64 alpha) (neg.f64 i))) (.f64 beta beta))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 alpha) (neg.f64 i)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 alpha) (neg.f64 i))))) 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))
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(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(.f64 (neg.f64 beta) (.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
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(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
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(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ 1 (+ alpha (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
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(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 (*.f64 beta beta) i) (+.f64 (neg.f64 alpha) (neg.f64 i))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 alpha) (neg.f64 i)) (/.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 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))))
(.f64 (.f64 beta beta) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 alpha) (neg.f64 i)) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) beta) (.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (*.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 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))))
(.f64 (.f64 beta beta) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 alpha) (neg.f64 i)) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) beta) (.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (*.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))))) beta))))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 4)
(pow.f64 beta #s(literal 4 binary64))
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 i beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) beta))) beta))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) i (neg.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 24 binary64) #s(literal -1 binary64)) beta))) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* -1 (/ (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1)))) beta)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1) beta))) beta))))
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(/ i beta)
(/.f64 i beta)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
(neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))) beta))) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -1 (/ (* i (pow (+ alpha (* 2 i)) 2)) beta)) (* i (+ alpha i)))) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))))) (* -1 (* i (pow (+ alpha (* 2 i)) 2))))) beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 2 (* i (+ alpha (* 2 i))))))) (* -1 (* i (pow (+ alpha (* 2 i)) 2))))) beta)) (* i (+ alpha i))) (* 2 (* i (+ alpha (* 2 i))))) beta))) beta))
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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 (+ beta i))
(*.f64 alpha (+.f64 beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(.f64 alpha (+.f64 beta (+.f64 i (/.f64 (.f64 i (+.f64 beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(.f64 alpha (+.f64 beta (+.f64 i (/.f64 (.f64 i (+.f64 beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(.f64 alpha (+.f64 beta (+.f64 i (/.f64 (.f64 i (+.f64 beta i)) alpha))))
(/ (+ beta i) alpha)
(/.f64 (+.f64 beta i) alpha)
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/.f64 (-.f64 (+.f64 beta (+.f64 i (/.f64 (.f64 i (+.f64 beta i)) alpha))) (.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)) alpha))) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 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)
(/.f64 (-.f64 (+.f64 (+.f64 beta i) (+.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 beta i) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (.f64 alpha alpha))) (/.f64 (.f64 i (+.f64 beta i)) alpha))) (.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)) alpha))) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* (+ beta i) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))))) (* (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* (+ beta i) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
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alpha
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha)))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha)))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha)))
(/ (* i (+ beta i)) (pow alpha 2))
(/.f64 (.f64 i (+.f64 beta i)) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 #s(literal 4 binary64) beta (.f64 #s(literal 8 binary64) i))) alpha)) (.f64 alpha alpha))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (+.f64 beta i) (fma.f64 #s(literal 4 binary64) beta (.f64 #s(literal 8 binary64) i))) alpha) (fma.f64 i (/.f64 (.f64 (+.f64 beta i) (fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) beta (.f64 i #s(literal 6 binary64)))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (.f64 alpha alpha)) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) beta (.f64 #s(literal 8 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 4 binary64) beta (.f64 #s(literal 8 binary64) i)))))) (.f64 alpha alpha))))) (.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 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) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (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 (+ beta i)))
(.f64 alpha (.f64 i (+.f64 beta i)))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta i))) alpha)))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)) (/.f64 (.f64 (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 beta i)) 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 (* (+ 1 (+ beta (* 2 i))) (+ beta i))) alpha) (/ (* (+ 1 (+ beta (* 2 i))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (* 2 i))) (+ beta i))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta i)) alpha) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta i))))) (*.f64 alpha alpha)))))
(* alpha (- (+ (* -1 (/ (* (+ 1 (+ beta (* 2 i))) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (* 2 i))) (+ beta 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 (* (+ 1 (+ beta (* 2 i))) (+ beta i))) alpha) (/ (* (+ 1 (+ beta (* 2 i))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (* 2 i))) (+ beta i))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (+.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta i)))))) (.f64 (.f64 alpha alpha) alpha)))) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha))))) (fma.f64 i (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta i)) alpha) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta i))))) (.f64 alpha alpha)))))
(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 (*.f64 alpha alpha) i) (+.f64 beta i))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta 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)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 alpha alpha)))))
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(* alpha i)
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alpha
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(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (.f64 (neg.f64 i) (+.f64 beta i)) alpha)))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (.f64 (neg.f64 i) (+.f64 beta i)) alpha)))
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha))
(neg.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
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(* -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)) (/ (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1)) alpha))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (/.f64 (fma.f64 i (+.f64 beta i) (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))) alpha)) (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (/.f64 (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) alpha))) (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 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))))))) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) alpha)) (/ (* (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) alpha)) (* i (+ beta i))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 i (+.f64 beta i) (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))) alpha)) (-.f64 (.f64 (fma.f64 i (+.f64 beta i) (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))) (/.f64 (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) alpha)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 i (+.f64 beta i) (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))))) alpha)) (fma.f64 i (+.f64 beta i) (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha))) alpha))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal 1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal 1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal 1 binary64)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/.f64 (.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i))) (.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (-.f64 (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))) (.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha)) (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i))) (fma.f64 (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))) alpha)) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha) (.f64 (+.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (/.f64 (-.f64 (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))))) (fma.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha)) (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) (.f64 (neg.f64 i) (.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))) (.f64 alpha alpha))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(.f64 (neg.f64 alpha) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 i))))) alpha)) (*.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 i))))))) alpha))) (.f64 (neg.f64 i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 i))))) alpha)) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ 1 (+ beta (* 2 i))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 i))))))) alpha))) (neg.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (.f64 (neg.f64 i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 i)))))))) alpha)) (.f64 (neg.f64 i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha)) (*.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 (*.f64 alpha alpha) i) (+.f64 (neg.f64 beta) (neg.f64 i))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (/.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 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))))
(.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha) (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 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))))
(.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha) (.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha))))
(/ i alpha)
(/.f64 i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 i (+.f64 beta i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) alpha)) (* i (+ beta i)))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (/.f64 (fma.f64 i (+.f64 beta i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) alpha)) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) alpha)) (.f64 i (+.f64 beta i))) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (pow (+ beta (* 2 i)) 2))))) alpha)) (* i (+ beta i))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 i (+.f64 beta i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 (neg.f64 i) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha) (.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (fma.f64 i (+.f64 beta i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) alpha))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 i (+.f64 beta i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 (neg.f64 i) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) (fma.f64 i (+.f64 beta i) (.f64 #s(literal -2 binary64) (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha))) alpha))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (/.f64 (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) alpha)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (/.f64 (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) alpha)) alpha))))
(/ 1 (pow alpha 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha alpha) alpha))
(* -1 (/ (- (* -1 (/ (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) alpha)) #s(literal 1 binary64)) (.f64 (.f64 alpha alpha) alpha)))
(* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)) alpha)) (+ (* -1 (/ (* (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)) alpha)) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (/.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) alpha)) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) alpha) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) alpha))))) (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal 1 binary64)) (.f64 (*.f64 alpha alpha) alpha)))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))) (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) alpha)) (+ (/ (* (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (+ (* -1 (* (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (+ (* -1 (* (- 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))) alpha))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) alpha))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (/.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) alpha) (.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) alpha)))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) alpha))) (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal 1 binary64)) (.f64 (.f64 alpha alpha) alpha)))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(.f64 (neg.f64 alpha) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (.f64 (.f64 i i) (/.f64 (+.f64 beta i) alpha))) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (.f64 (.f64 i i) (/.f64 (+.f64 beta i) alpha))) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (.f64 (.f64 i i) (/.f64 (+.f64 beta i) alpha))) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* 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 i (fma.f64 i (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta))))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (/.f64 (.f64 alpha beta) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta))))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (/.f64 (.f64 alpha beta) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
(/ (pow i 2) (- (pow beta 2) 1))
(/.f64 (*.f64 i i) (fma.f64 beta beta #s(literal -1 binary64)))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
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(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
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(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
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(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(/ 1 (- (pow beta 2) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -1 binary64)))
(+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))
(fma.f64 (neg.f64 i) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta (fma.f64 beta beta #s(literal -1 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 beta (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) (fma.f64 beta beta #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -1 binary64))))
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (fma.f64 alpha (/.f64 (.f64 beta (fma.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 20 binary64)))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 (+.f64 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#s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 20 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta))))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha 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(.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta))))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta))))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (/.f64 (.f64 alpha beta) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
(* alpha beta)
(*.f64 alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(fma.f64 alpha beta (*.f64 i (+.f64 alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(fma.f64 alpha beta (*.f64 i (+.f64 alpha (+.f64 beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(fma.f64 alpha beta (*.f64 i (+.f64 alpha (+.f64 beta i))))
(/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))
(*.f64 alpha (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (+ 1 (+ alpha beta)))) (+ (* 2 (/ beta (+ 1 (+ alpha beta)))) (* i (- (/ 1 (+ 1 (+ alpha beta))) (* 2 (/ (- (+ (* 2 (/ alpha (+ 1 (+ alpha beta)))) (* 2 (/ beta (+ 1 (+ alpha beta))))) (* 2 (/ (- (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta)))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2)))) (+ 1 (+ alpha beta))))) (+ 1 (+ alpha beta)))))))) (* 2 (/ (- (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta)))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2)))) (+ 1 (+ alpha beta)))))) (+ (/ (* alpha beta) (+ 1 (+ alpha beta))) (/ (pow (+ alpha beta) 2) (+ 1 (+ alpha beta))))) (* 2 (/ (* alpha (* beta (+ alpha beta))) (pow (+ 1 (+ alpha beta)) 2))))) (/ (* alpha (* beta (+ alpha beta))) (+ 1 (+ alpha beta)))))
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(* (pow beta 2) (- (pow beta 2) 1))
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i
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i)))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i)))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i)))
1/16
#s(literal 1/16 binary64)
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(* 1/2 (pow i 3))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 i i) i))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ 1 (+ alpha beta)) i))))
(.f64 (.f64 (.f64 i i) i) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) i))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ 1 (+ alpha beta)) i)) (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 2))))))
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(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ 1 (+ alpha beta)) i)) (+ (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 2))) (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ 1 (+ alpha beta)) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ 1 (+ alpha beta)))))))) (pow i 3)))))))
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(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i))))))
(* (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 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (fma.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) (.f64 (.f64 i i) i)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i)))))))
(* 16 (pow i 4))
(*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 32 binary64) (/.f64 beta i))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) (*.f64 #s(literal 32 binary64) (/.f64 beta i)))))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (* beta (- (pow beta 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 4 (/ (pow beta 3) (pow i 3))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))))
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1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i))))
(- (+ 1/4 (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (.f64 i i) i)))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i))))
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ alpha beta) 4)) (* 1/16 (pow (+ alpha beta) 4))) (pow i 4)))) (+ (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2)))))
(-.f64 (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 3/64 binary64)) (pow.f64 i #s(literal 4 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (.f64 i i) i)) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)))))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)))))
(/ 1/8 (pow i 3))
(/.f64 #s(literal 1/8 binary64) (.f64 (.f64 i i) i))
(/ (+ 1/8 (* -1/64 (/ (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) i))) (pow i 3))
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(/ 1/16 (pow i 2))
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1/16
#s(literal 1/16 binary64)
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i
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1/16
#s(literal 1/16 binary64)
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(* 1/2 (pow i 3))
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(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta))))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta))))) i))) i)) 1/2)))
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(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta))))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta)))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ 1 (+ alpha beta)) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ 1 (+ alpha beta)))))))) i))) i))) i)) 1/2)))
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(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
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(* (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))))
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(* 16 (pow i 4))
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(* (pow i 4) (+ 16 (* 32 (/ beta i))))
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(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) i))) i))))
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(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) i)) (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))) i))) i))))
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1/4
#s(literal 1/4 binary64)
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(+ 1/4 (+ (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))))
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(+ 1/4 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow (+ alpha beta) 4)) (* 1/64 (pow (+ alpha beta) 4))) i)) (* -1/16 (pow (+ alpha beta) 3))) (pow i 3))) (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2)))))
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(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
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(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
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(/ 1/8 (pow i 3))
(/.f64 #s(literal 1/8 binary64) (.f64 (.f64 i i) i))
(* -1 (/ (- (* 1/64 (/ (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) i)) 1/8) (pow i 3)))
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(* -1 (/ (- (* -1 (/ (- (+ (* 1/512 (/ (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2) i)) (* 1/64 (/ (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))) i))) (* 1/64 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) 1/8) (pow i 3)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta)))) i) (.f64 #s(literal 1/64 binary64) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i))) (.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) i)) #s(literal 1/8 binary64)) (.f64 (*.f64 i i) i)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/512 (/ (* (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) i)) (+ (* 1/64 (/ (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)) i)) (* 1/8 (/ (* (+ (* 1/512 (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) i)))) (+ (* 1/512 (pow (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))))) i)) (* 1/64 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) 1/8) (pow i 3)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))) i)) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) i)) (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta)))) (.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal -4 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))) i))))) (fma.f64 #s(literal 1/512 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta)))) (.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal -4 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))))) i)) (.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) i)) #s(literal 1/8 binary64)) (.f64 (.f64 i i) i)))
(pow i 3)
(.f64 (.f64 i i) i)
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha beta) i)) 1)))
(neg.f64 (.f64 (.f64 (*.f64 i i) i) (-.f64 (/.f64 (neg.f64 (+.f64 alpha beta)) i) #s(literal 1 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(neg.f64 (.f64 (.f64 (.f64 i i) i) (-.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta (.f64 alpha (/.f64 beta i)))) i)) #s(literal 1 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(neg.f64 (.f64 (.f64 (.f64 i i) i) (-.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta (.f64 alpha (/.f64 beta i)))) i)) #s(literal 1 binary64))))

rewrite236.0ms (2.1%)

Memory

3.6MiB live, 371.8MiB allocated

Rules

4 870×	`lower-/.f32`
4 858×	`lower-/.f64`
3 866×	`lower-*.f32`
3 836×	`lower-*.f64`
3 020×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	561
0	86	448
1	499	442
2	4738	442
0	8723	438

Stop Event

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

Counts

22 → 875

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

Outputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 i (.f64 beta beta)) (+.f64 alpha i)))
(.f64 (/.f64 #s(literal 1 binary64) beta) (.f64 i (/.f64 (+.f64 alpha i) beta)))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 alpha i))
(.f64 (.f64 i (/.f64 (+.f64 alpha i) beta)) (/.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha i) i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 (+.f64 alpha i) i))
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta))
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
(.f64 (.f64 (neg.f64 i) (+.f64 alpha i)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta)))
(.f64 (.f64 (+.f64 alpha i) i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 i (*.f64 beta beta)) (+.f64 alpha i)))
(.f64 i (/.f64 (+.f64 alpha i) (.f64 beta beta)))
(.f64 i (.f64 (+.f64 alpha i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(pow.f64 (/.f64 beta (*.f64 i (/.f64 (+.f64 alpha i) beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (/.f64 i (*.f64 beta beta))) (-.f64 alpha i))
(/.f64 (.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) (/.f64 i (.f64 beta beta))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
(/.f64 (.f64 (.f64 (+.f64 alpha i) i) #s(literal 1 binary64)) (*.f64 beta beta))
(/.f64 (neg.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta))) (neg.f64 beta))
(/.f64 (neg.f64 (.f64 (neg.f64 i) (+.f64 alpha i))) (neg.f64 (.f64 (neg.f64 beta) beta)))
(/.f64 (.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) i) (.f64 (-.f64 alpha i) (.f64 beta beta)))
(/.f64 (.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) i) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (*.f64 beta beta)))
(/.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta)) beta)
(/.f64 (.f64 (neg.f64 i) (+.f64 alpha i)) (.f64 (neg.f64 beta) beta))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))))
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (*.f64 i (/.f64 (+.f64 alpha i) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))))
(neg.f64 (/.f64 (.f64 (neg.f64 i) (+.f64 alpha i)) (.f64 beta beta)))
(neg.f64 (/.f64 (.f64 (+.f64 alpha i) i) (.f64 (neg.f64 beta) beta)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 beta) beta)) (/.f64 (.f64 (+.f64 alpha i) i) (*.f64 (neg.f64 beta) beta)))
(exp.f64 (.f64 (log.f64 (.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) #s(literal -1 binary64)))
(*.f64 (+.f64 alpha i) i)
(*.f64 i (+.f64 alpha i))
(/.f64 (.f64 i (.f64 (+.f64 alpha i) (-.f64 alpha i))) (-.f64 alpha i))
(/.f64 (.f64 i (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) i) (-.f64 alpha i))
(/.f64 (.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) i) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(fma.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)) (*.f64 alpha i))
(fma.f64 alpha i (*.f64 i i))
(fma.f64 i alpha (*.f64 i i))
(fma.f64 i i (*.f64 alpha i))
(+.f64 (.f64 alpha i) (.f64 i i))
(+.f64 (.f64 i i) (.f64 alpha i))
(.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (/.f64 #s(literal 1 binary64) (-.f64 alpha i)))
(.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))))
(pow.f64 (/.f64 (-.f64 alpha i) (*.f64 (+.f64 alpha i) (-.f64 alpha i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i))) #s(literal -1 binary64))
(/.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 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i))) (neg.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (-.f64 alpha i))
(/.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) (fma.f64 i i (-.f64 (.f64 alpha alpha) (*.f64 alpha i))))
(/.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha i) (*.f64 (+.f64 alpha i) (-.f64 alpha i))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i))))
(-.f64 (/.f64 (.f64 i i) (-.f64 i alpha)) (/.f64 (.f64 alpha alpha) (-.f64 i alpha)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (.f64 i i) (-.f64 alpha i)))
(+.f64 alpha i)
(+.f64 i alpha)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 beta i) (+.f64 beta i)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 i i)))
(.f64 (.f64 (.f64 i i) (/.f64 (+.f64 beta i) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (/.f64 (+.f64 beta i) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))
(.f64 (.f64 (.f64 i i) (+.f64 beta i)) (/.f64 (+.f64 beta i) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i beta)))
(.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (+.f64 beta i) (/.f64 (+.f64 beta i) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))
(.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 (+.f64 beta i) i) (/.f64 (+.f64 beta i) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))) i)
(.f64 (/.f64 (+.f64 beta i) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 beta i) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 i i)))
(.f64 (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 i i))
(.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (.f64 i i)))
(.f64 (+.f64 beta i) (.f64 (/.f64 (+.f64 beta i) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 i i)))
(.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
(.f64 i (.f64 (.f64 (+.f64 beta i) i) (/.f64 (+.f64 beta i) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (.f64 (.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64)))
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(+.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))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 #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 (/.f64 #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) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.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))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.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) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
(pow.f64 (exp.f64 (log.f64 (.f64 (-.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)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (-.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 (-.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))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (-.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)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.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) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (.f64 (neg.f64 (-.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))))) #s(literal -1 binary64))
(pow.f64 (.f64 (-.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)))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
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(/.f64 (/.f64 #s(literal 1 binary64) (-.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))))
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(/.f64 #s(literal 1 binary64) (.f64 (-.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)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.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))))))
(exp.f64 (.f64 (log.f64 (.f64 (-.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))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) i)
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(fma.f64 (.f64 beta alpha) i (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) i))
(fma.f64 i (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 i (*.f64 beta alpha)))
(fma.f64 i (.f64 beta alpha) (.f64 i (*.f64 (+.f64 (+.f64 beta alpha) i) i)))
(+.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) i) (.f64 (.f64 beta alpha) i))
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eval770.0ms (6.7%)

Memory: 9.0MiB live, 535.1MiB allocated
Compiler: Compiled 143 077 to 5 989 computations (95.8% saved)

prune708.0ms (6.2%)

Memory

13.0MiB live, 771.4MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 892	17	1 909
Fresh	9	0	9
Picked	4	1	5
Done	0	0	0
Total	1 905	18	1 923

Accuracy

98.2%

Counts

1 923 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 beta alpha) i (fma.f64 i i (.f64 beta alpha))) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
	37.3%	(.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (+.f64 (+.f64 beta alpha) i)) (/.f64 i (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	33.8%	(.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(literal 1/4 binary64)) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
	12.7%	#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) i) (.f64 i i)) (.f64 beta beta)))
▶	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta)))
▶	21.4%	#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 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))))
▶	77.0%	#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(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
	41.4%	#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 beta i) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 beta i) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 i i))))
▶	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
	31.2%	#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(literal 1 binary64) beta) (.f64 i (/.f64 (+.f64 alpha i) beta))))
	22.7%	#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 beta i) (.f64 (/.f64 (+.f64 beta i) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 i i))))
	31.6%	#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 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
	31.5%	#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 (.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))))
	14.0%	#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 i (/.f64 (+.f64 alpha i) (.f64 beta beta))))
▶	62.7%	#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(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))))
✓	70.6%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 849 to 384 computations (54.8% saved)

simplify150.0ms (1.3%)

Memory

-22.9MiB live, 255.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i)))
cost-diff	128	(-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))
cost-diff	320	(.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (*.f64 beta beta) #s(literal 20 binary64))))
cost-diff	704	(fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
cost-diff	0	(/.f64 beta (*.f64 (+.f64 alpha i) i))
cost-diff	0	(.f64 beta (/.f64 beta (.f64 (+.f64 alpha 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 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
cost-diff	384	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
cost-diff	0	(*.f64 alpha i)
cost-diff	0	#s(approx (* (+ alpha i) i) (*.f64 alpha i))
cost-diff	0	(/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha 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 #s(approx (* (+ alpha i) i) (.f64 alpha 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 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
cost-diff	128	(+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)))
cost-diff	320	(.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))
cost-diff	2688	(-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))

Rules

7 248×	`lower-fma.f32`
7 244×	`lower-fma.f64`
6 272×	`lower-*.f32`
6 248×	`lower-*.f64`
2 906×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	738
0	101	772
1	262	753
2	879	670
3	3788	652
4	6996	648
0	8109	598

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 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
(-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))
(+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)))
#s(literal 1/16 binary64)
(.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
(*.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
i
(*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))
#s(literal 1/8 binary64)
(/.f64 (+.f64 alpha beta) i)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta)))
(/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta))
#s(approx (* (+ alpha i) i) (*.f64 alpha i))
(*.f64 alpha i)
alpha
i
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.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)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))))
(/.f64 #s(literal 1 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))))
#s(literal 1 binary64)
(.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))
beta
(/.f64 beta (*.f64 (+.f64 alpha i) i))
(*.f64 (+.f64 alpha i) i)
(+.f64 alpha 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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))))
#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i))))
(-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i))
(.f64 #s(literal 1/16 binary64) (.f64 beta beta))
(*.f64 beta beta)
beta
(*.f64 i i)
i
(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))
(.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (*.f64 beta beta) #s(literal 20 binary64))))
#s(literal 1/256 binary64)
(fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
#s(literal 4 binary64)
(fma.f64 beta beta #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (.f64 beta beta) #s(literal 20 binary64))
#s(literal 20 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 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha 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)) #s(literal 1/16 binary64))
(-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)))
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
(/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i)
(*.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(*.f64 (+.f64 beta alpha) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
(+.f64 beta alpha)
alpha
beta
i
(*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 (+.f64 alpha beta) i)
(/.f64 (+.f64 beta 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(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta)))
(/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta))
#s(approx (* (+ alpha i) i) (*.f64 alpha i))
(*.f64 alpha i)
alpha
i
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.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 i (.f64 beta beta)) (+.f64 alpha i)))
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 alpha i))
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
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 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha 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 i (.f64 beta beta)) (+.f64 alpha i)))
(/.f64 #s(literal 1 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 alpha i))
#s(literal 1 binary64)
(.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))
(.f64 (/.f64 beta (.f64 (+.f64 alpha i) i)) beta)
beta
(/.f64 beta (*.f64 (+.f64 alpha i) i))
(*.f64 (+.f64 alpha i) i)
(+.f64 alpha 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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (fma.f64 (fma.f64 (/.f64 beta (.f64 i i)) beta #s(literal 1 binary64)) #s(literal 1/16 binary64) (/.f64 (fma.f64 (.f64 beta beta) #s(literal -3/32 binary64) #s(literal 1/64 binary64)) (*.f64 i i)))))
#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i))))
#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (fma.f64 (fma.f64 (/.f64 beta (.f64 i i)) beta #s(literal 1 binary64)) #s(literal 1/16 binary64) (/.f64 (fma.f64 (.f64 beta beta) #s(literal -3/32 binary64) #s(literal 1/64 binary64)) (*.f64 i i))))
(-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))
(fma.f64 (fma.f64 (/.f64 beta (.f64 i i)) beta #s(literal 1 binary64)) #s(literal 1/16 binary64) (/.f64 (fma.f64 (.f64 beta beta) #s(literal -3/32 binary64) #s(literal 1/64 binary64)) (*.f64 i i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i)))
(.f64 (fma.f64 (/.f64 beta (.f64 i i)) beta #s(literal 1 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i))
(.f64 (/.f64 #s(literal 1/16 binary64) (.f64 i i)) (*.f64 beta beta))
(.f64 #s(literal 1/16 binary64) (.f64 beta beta))
(.f64 (.f64 beta beta) #s(literal 1/16 binary64))
(*.f64 beta beta)
beta
(*.f64 i i)
i
(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))
(/.f64 (fma.f64 (.f64 beta beta) #s(literal 3/32 binary64) #s(literal -1/64 binary64)) (.f64 i i))
(.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (*.f64 beta beta) #s(literal 20 binary64))))
(fma.f64 (*.f64 beta beta) #s(literal 3/32 binary64) #s(literal -1/64 binary64))
#s(literal 1/256 binary64)
(fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
(fma.f64 (*.f64 beta beta) #s(literal 24 binary64) #s(literal -4 binary64))
#s(literal 4 binary64)
(fma.f64 beta beta #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (.f64 beta beta) #s(literal 20 binary64))
(.f64 #s(literal 20 binary64) (.f64 beta beta))
#s(literal 20 binary64)

localize164.0ms (1.4%)

Memory

9.0MiB live, 412.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.766367675588557	(-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i)))
accuracy	18.1581596457661	(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i))
accuracy	18.269363385447967	(/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (.f64 i i))
accuracy	19.173298160107056	#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 (.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))) (*.f64 i i))))
accuracy	0.6983330615267009	(/.f64 #s(literal 1 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i))))
accuracy	3.6062298159815405	(.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))
accuracy	10.035469421197623	(/.f64 beta (*.f64 (+.f64 alpha i) i))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 binary64) (.f64 beta (/.f64 beta (.f64 (+.f64 alpha i) i)))))
accuracy	0	(/.f64 i beta)
accuracy	0	(+.f64 alpha i)
accuracy	0.2265625	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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	0	(*.f64 alpha i)
accuracy	19.217227422532105	(/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta)))
accuracy	57.84766953837203	#s(approx (* (+ alpha i) i) (*.f64 alpha i))
accuracy	0.00390625	(/.f64 (+.f64 alpha beta) i)
accuracy	0.00390625	(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
accuracy	16.955100326295348	(-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))
accuracy	18.830665587603978	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))

Samples

73.0ms	185×	0	valid
48.0ms	71×	1	valid

Compiler

Compiled 587 to 62 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 39.0ms (43.5% of total)

ival-add: 20.0ms (22.3% of total)

ival-div: 19.0ms (21.2% of total)

adjust: 7.0ms (7.8% of total)

ival-sub: 4.0ms (4.5% of total)

exact: 1.0ms (1.1% of total)

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

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

series186.0ms (1.6%)

Memory

12.9MiB live, 209.0MiB allocated

Counts

26 → 780

Calls

Call 1

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

Outputs
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ alpha i)) (taylor 0 beta) (#s(alt (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (patch (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i))) (taylor 0 beta) (#s(alt (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (patch (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i))) (taylor 0 beta) (#s(alt (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (patch (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i))) (taylor 0 beta) (#s(alt (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (patch (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	beta	@	-inf	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (* 1/16 (/ (* 2 (+ alpha beta)) i)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) 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) (* alpha i) (* (/ (+ alpha i) beta) (/ 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) beta) (+ alpha i) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 2 (+ alpha beta)) i) (/ (+ alpha beta) i) (/ i beta) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
40.0ms	i	@	inf	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (* 1/16 (/ (* 2 (+ alpha beta)) i)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) 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) (* alpha i) (* (/ (+ alpha i) beta) (/ 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) beta) (+ alpha i) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 2 (+ alpha beta)) i) (/ (+ alpha beta) i) (/ i beta) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
6.0ms	beta	@	0	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (* 1/16 (/ (* 2 (+ alpha beta)) i)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) 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) (* alpha i) (* (/ (+ alpha i) beta) (/ 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) beta) (+ alpha i) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 2 (+ alpha beta)) i) (/ (+ alpha beta) i) (/ i beta) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
5.0ms	beta	@	inf	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (* 1/16 (/ (* 2 (+ alpha beta)) i)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) 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) (* alpha i) (* (/ (+ alpha i) beta) (/ 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) beta) (+ alpha i) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 2 (+ alpha beta)) i) (/ (+ alpha beta) i) (/ i beta) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
5.0ms	i	@	0	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (* 1/16 (/ (* 2 (+ alpha beta)) i)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) 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) (* alpha i) (* (/ (+ alpha i) beta) (/ 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) beta) (+ alpha i) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 2 (+ alpha beta)) i) (/ (+ alpha beta) i) (/ i beta) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))

simplify282.0ms (2.5%)

Memory

-12.5MiB live, 368.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 842×	`lower-*.f64`
6 842×	`lower-*.f32`
5 798×	`lower-fma.f64`
5 798×	`lower-fma.f32`
4 226×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1178	32678
1	3916	32227
0	8360	29662

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 774

Calls

Call 1

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

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

rewrite206.0ms (1.8%)

Memory

4.9MiB live, 222.5MiB allocated

Rules

4 836×	`lower-*.f32`
4 812×	`lower-*.f64`
3 576×	`lower-fma.f32`
3 572×	`lower-fma.f64`
3 410×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	548
0	100	486
1	498	460
2	4868	456
0	8595	433

Stop Event

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

Counts

26 → 605

Calls

Call 1

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

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

eval224.0ms (2%)

Memory: 26.2MiB live, 326.7MiB allocated
Compiler: Compiled 58 406 to 2 734 computations (95.3% saved)

prune288.0ms (2.5%)

Memory

17.0MiB live, 570.1MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 394	18	1 412
Fresh	7	5	12
Picked	4	1	5
Done	0	1	1
Total	1 405	25	1 430

Accuracy

98.3%

Counts

1 430 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 beta alpha) i (fma.f64 i i (.f64 beta alpha))) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
	22.8%	#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 i #s(literal 1 binary64)) (.f64 beta (/.f64 beta (+.f64 i alpha)))))
	12.7%	#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) i) (.f64 i i)) (.f64 beta beta)))
✓	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.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 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i))))
	28.9%	#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 binary64) (.f64 beta (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i)) #s(literal -1 binary64))))))
	19.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (.f64 beta #s(approx (/ beta ( (+ alpha i) i)) (/.f64 beta (*.f64 i i))))))
	74.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (+.f64 beta alpha) (.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
▶	77.0%	#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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
	73.9%	#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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 (/.f64 alpha i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) (neg.f64 beta)) (/.f64 #s(literal 1/8 binary64) i)))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
▶	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
	29.5%	#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 (/.f64 (+.f64 alpha i) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	31.2%	#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(literal 1 binary64) beta) (.f64 (/.f64 (+.f64 i alpha) beta) i)))
	22.4%	#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 i alpha) (/.f64 (/.f64 i beta) beta)))
	22.7%	#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 beta i) (.f64 (/.f64 (+.f64 beta i) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 i i))))
	31.5%	#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 (.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))))
▶	26.7%	#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)))
	13.9%	#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) (/.f64 alpha beta)) (/.f64 i beta)))
	14.0%	#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 i (/.f64 (+.f64 i alpha) (.f64 beta beta))))
▶	62.6%	#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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)))))
	63.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))
▶	70.7%	#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(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
✓	70.6%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 935 to 478 computations (48.9% saved)

simplify140.0ms (1.2%)

Memory

-24.1MiB live, 181.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)))
cost-diff	0	#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)))))
cost-diff	128	(+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i)))
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) beta) i)
cost-diff	384	(.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))
cost-diff	0	(/.f64 i beta)
cost-diff	0	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
cost-diff	0	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff	0	#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
cost-diff	0	(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)))
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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
cost-diff	128	(-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))

Rules

8 396×	`lower-fma.f32`
8 394×	`lower-fma.f64`
5 416×	`lower-*.f32`
5 400×	`lower-*.f64`
2 972×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	935
0	112	933
1	283	907
2	915	875
3	4151	843
4	6708	815
0	8031	755

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

localize229.0ms (2%)

Memory

0.6MiB live, 233.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	18.1581596457661	(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 i i))
accuracy	18.269363385447967	(/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i))
accuracy	19.173298160107056	#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i))))
accuracy	28.12851452705995	#s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta)))
accuracy	0	(+.f64 alpha i)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal 1 binary64) beta) i)
accuracy	0.2265625	(.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (/.f64 #s(literal 1 binary64) beta) i)))
accuracy	0	(/.f64 i beta)
accuracy	0.2265625	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))
accuracy	3.461530517382771	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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)))
accuracy	0.625260548972201	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	2.968724400385356	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
accuracy	19.173298160107056	#s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
accuracy	19.49887496239621	#s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0	#s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)))
accuracy	0.00390625	(/.f64 (+.f64 alpha beta) i)
accuracy	16.955100326295348	(-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))
accuracy	18.830665587603978	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))

Samples

128.0ms	185×	0	valid
49.0ms	71×	1	valid

Compiler

Compiled 605 to 67 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 84.0ms (62% of total)

ival-div: 20.0ms (14.8% of total)

ival-add: 19.0ms (14% of total)

adjust: 7.0ms (5.2% of total)

ival-sub: 4.0ms (3% of total)

exact: 1.0ms (0.7% of total)

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

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

series95.0ms (0.8%)

Memory

39.8MiB live, 151.6MiB allocated

Counts

26 → 732

Calls

Call 1

Inputs
#s(alt (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (patch #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) (patch (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)))) (patch #s(approx ( (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (- (+ 1/16 (/ ( 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)) (patch (.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (patch #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) #<representation binary64>) () ())
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)) (patch (.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) beta) i) (patch (.f64 (/.f64 #s(literal 1 binary64) beta) i) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i))))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i)))) (patch #s(approx ( (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 alpha beta) i) (patch (/.f64 (+.f64 alpha beta) i) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())
#s(alt #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (patch #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i)) (patch (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) (patch (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) #<representation binary64>) () ())

Outputs
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (patch (-.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (taylor 0 beta) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i))) (patch (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i))) (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ alpha beta) i) (taylor -inf i) (#s(alt (/.f64 (+.f64 alpha beta) i) (patch (/.f64 (+.f64 alpha beta) i) #<representation binary64>) () ())) ())
#s(alt (/ (+ alpha beta) i) (taylor -inf i) (#s(alt (/.f64 (+.f64 alpha beta) i) (patch (/.f64 (+.f64 alpha beta) i) #<representation binary64>) () ())) ())
#s(alt (/ (+ alpha beta) i) (taylor -inf i) (#s(alt (/.f64 (+.f64 alpha beta) i) (patch (/.f64 (+.f64 alpha beta) i) #<representation binary64>) () ())) ())
#s(alt (/ (+ alpha beta) i) (taylor -inf i) (#s(alt (/.f64 (+.f64 alpha beta) i) (patch (/.f64 (+.f64 alpha beta) i) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf i) (#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1 (/ alpha i)) 1))) (taylor -inf i) (#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1 (/ alpha i)) 1))) (taylor -inf i) (#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1 (/ alpha i)) 1))) (taylor -inf i) (#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i)) (patch (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i)) (patch (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i)) (patch (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (.f64 i i)) (patch (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/16 (/ (pow beta 2) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) (patch (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/16 (/ (pow beta 2) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) (patch (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/16 (/ (pow beta 2) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) (patch (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 1/16 (/ (pow beta 2) (pow i 2))) (taylor -inf i) (#s(alt (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) (patch (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 i i)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	i	@	inf	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ (/ 1/64 (* i i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ i beta) (* (/ (+ alpha i) beta) (* (/ 1 beta) i)) (* (/ 1 beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (/ (+ alpha beta) i) (/ 1/64 (* i i)) (+ alpha i) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
4.0ms	i	@	0	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ (/ 1/64 (* i i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ i beta) (* (/ (+ alpha i) beta) (* (/ 1 beta) i)) (* (/ 1 beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (/ (+ alpha beta) i) (/ 1/64 (* i i)) (+ alpha i) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
4.0ms	beta	@	0	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ (/ 1/64 (* i i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ i beta) (* (/ (+ alpha i) beta) (* (/ 1 beta) i)) (* (/ 1 beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (/ (+ alpha beta) i) (/ 1/64 (* i i)) (+ alpha i) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
4.0ms	beta	@	-inf	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ (/ 1/64 (* i i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ i beta) (* (/ (+ alpha i) beta) (* (/ 1 beta) i)) (* (/ 1 beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (/ (+ alpha beta) i) (/ 1/64 (* i i)) (+ alpha i) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))
3.0ms	i	@	-inf	((- (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+ (/ 1/64 (* i i)) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (/ i beta) (* (/ (+ alpha i) beta) (* (/ 1 beta) i)) (* (/ 1 beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (/ (+ alpha beta) i) (/ 1/64 (* i i)) (+ alpha i) (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i)) (/ (* 1/16 (* beta beta)) (* i i)))

simplify634.0ms (5.5%)

Memory

-25.6MiB live, 408.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 364×	`lower-*.f64`
7 364×	`lower-*.f32`
6 326×	`lower-fma.f64`
6 326×	`lower-fma.f32`
5 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	923	39424
1	3149	38892
0	8383	35588

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

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

rewrite224.0ms (2%)

Memory

23.0MiB live, 262.0MiB allocated

Rules

5 238×	`lower-*.f32`
5 222×	`lower-*.f64`
4 050×	`lower-fma.f32`
4 048×	`lower-fma.f64`
2 882×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	882
0	112	776
1	553	722
2	5467	718
0	8116	659

Stop Event

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

Counts

26 → 427

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 beta alpha) i) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))
(.f64 (-.f64 (.f64 (.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (.f64 (.f64 i i) i))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 beta alpha) i) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) (-.f64 (.f64 (.f64 #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (.f64 (*.f64 i i) i)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 beta alpha) i)) (.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 beta alpha) i)))) (-.f64 #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 beta alpha) i))))
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(*.f64 (+.f64 beta alpha) (/.f64 #s(literal 1 binary64) i))
(pow.f64 (/.f64 (/.f64 i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) i)) (-.f64 alpha beta))
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(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
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(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (/.f64 #s(literal 1 binary64) (-.f64 alpha i)))
(.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i)) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))))
(pow.f64 (/.f64 (-.f64 alpha i) (*.f64 (+.f64 i alpha) (-.f64 alpha i))) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 i i) (.f64 alpha alpha)) (-.f64 i alpha))
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(/.f64 (neg.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 i i) i))) (neg.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
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(fma.f64 #s(literal 1 binary64) i alpha)
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(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (.f64 i i) (-.f64 alpha i)))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))))
(.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) i))
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(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)))
(pow.f64 (/.f64 i (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) i)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 i i) #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 i i) #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) i)) (neg.f64 i))
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(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) i)))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) #s(approx ( 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta)))))
(neg.f64 (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 (neg.f64 i) i)))
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(.f64 (pow.f64 (/.f64 i (.f64 beta #s(literal 1/16 binary64))) #s(literal -1 binary64)) (/.f64 beta i))
(.f64 (/.f64 (.f64 beta #s(literal 1/16 binary64)) i) (/.f64 beta i))
(.f64 (.f64 beta (/.f64 beta (*.f64 i i))) #s(literal 1/16 binary64))
(.f64 (.f64 #s(literal 1/16 binary64) (*.f64 beta (/.f64 beta i))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 beta #s(literal 1/16 binary64)) (/.f64 beta (*.f64 i i)))
(.f64 (.f64 beta #s(literal 1/16 binary64)) (.f64 beta (/.f64 #s(literal 1 binary64) (.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) #s(literal 1/16 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) (.f64 (.f64 beta beta) #s(literal 1/16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 1/16 binary64) (*.f64 beta (/.f64 beta i))))
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(.f64 #s(literal 1/16 binary64) (.f64 beta (/.f64 beta (*.f64 i i))))
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(pow.f64 (/.f64 (.f64 i (/.f64 i (.f64 (*.f64 beta beta) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 i (/.f64 i (.f64 (*.f64 beta beta) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1/16 binary64) i) (.f64 beta beta)) i)
(/.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta (/.f64 beta i)))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta))) (neg.f64 (*.f64 (neg.f64 i) i)))
(/.f64 (.f64 (.f64 (.f64 beta beta) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 i i))
(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta (/.f64 beta i))) i)
(/.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (*.f64 (neg.f64 i) i))
(/.f64 (.f64 (.f64 beta beta) #s(literal 1/16 binary64)) (*.f64 i i))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 i (/.f64 i (.f64 (*.f64 beta beta) #s(literal 1/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 #s(literal 1/16 binary64) (.f64 beta (/.f64 beta i)))))
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(/.f64 #s(literal 1 binary64) (.f64 i (/.f64 i (.f64 (*.f64 beta beta) #s(literal 1/16 binary64)))))
(neg.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 beta beta)) (*.f64 i i)))
(neg.f64 (/.f64 (.f64 (.f64 beta beta) #s(literal 1/16 binary64)) (*.f64 (neg.f64 i) i)))
(exp.f64 (.f64 (log.f64 (.f64 i (/.f64 i (.f64 (.f64 beta beta) #s(literal 1/16 binary64))))) #s(literal -1 binary64)))

eval267.0ms (2.3%)

Memory: -48.7MiB live, 337.3MiB allocated
Compiler: Compiled 58 148 to 1 891 computations (96.7% saved)

prune330.0ms (2.9%)

Memory

20.0MiB live, 595.8MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 188	12	1 200
Fresh	8	10	18
Picked	3	2	5
Done	0	2	2
Total	1 199	26	1 225

Accuracy

98.3%

Counts

1 225 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 beta alpha) i (fma.f64 i i (.f64 beta alpha))) i) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (-.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))))))
	77.0%	#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 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 ( 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 beta alpha) i) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(approx (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))
	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 (+.f64 beta i) i) (.f64 (+.f64 beta i) i)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))
	26.6%	#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))
	12.7%	#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) i) (.f64 i i)) (.f64 beta beta)))
✓	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta)))
	22.8%	#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 i (*.f64 (/.f64 beta (+.f64 i alpha)) 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 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i))))
	28.9%	#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 binary64) (.f64 beta (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i)) #s(literal -1 binary64))))))
	77.0%	#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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) #s(approx (/ (+ alpha beta) i) (/.f64 beta i)))))
	74.0%	#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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) (fma.f64 beta (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
	73.9%	#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 (+ 1/16 (* 1/16 (/ (* 2 (+ alpha beta)) i))) #s(approx (+ (* (/ beta i) 1/8) 1/16) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/16 binary64) beta)) beta))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
	26.6%	#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(literal 1 binary64) beta) (.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)))
	22.7%	#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 beta i) (.f64 (/.f64 (+.f64 beta i) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 i i))))
	31.5%	#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 (.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))))
✓	26.7%	#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)))
	26.7%	#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 (/.f64 #s(literal 1 binary64) beta) i)))
	25.4%	#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(approx (/ (+ alpha i) beta) (/.f64 i beta)) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	13.9%	#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) (/.f64 alpha beta)) (/.f64 i beta)))
	14.0%	#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 i (/.f64 (+.f64 i alpha) (.f64 beta beta))))
	62.7%	#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(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (-.f64 (fma.f64 (.f64 beta (/.f64 beta (.f64 i i))) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (/.f64 #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta))) (*.f64 i i)))))
	62.6%	#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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (+.f64 (/.f64 (-.f64 (.f64 (.f64 beta beta) #s(literal 1/16 binary64)) #s(approx (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (.f64 #s(literal 3/32 binary64) (.f64 beta beta)))) (*.f64 i i)) #s(literal 1/16 binary64))))
✓	70.7%	#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(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
	4.4%	#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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) #s(approx (+ (/ 1/64 (* i i)) 1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
✓	70.6%	#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)) #s(literal 1/16 binary64))

Compiler

Compiled 1 914 to 486 computations (74.6% saved)

regimes88.0ms (0.8%)

Memory

-1.4MiB live, 111.0MiB allocated

Counts

62 → 2

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	beta
18.0ms	i
16.0ms	alpha
14.0ms	(/.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
84.2%	2	`alpha`
88.9%	2	`beta`
82.3%	2	`i`
81.2%	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)))`

Compiler

Compiled 68 to 26 computations (61.8% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
85.3%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.3%)

Memory

-10.6MiB live, 28.0MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) #s(approx (+ (/ 1/64 (* i i)) 1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha 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 #s(approx (* (+ alpha i) i) (.f64 i i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 alpha 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 (+.f64 i alpha) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.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(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))

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

Calls

4 calls:

21.0ms	beta
4.0ms	alpha
3.0ms	i
3.0ms	(/.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
70.7%	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)))`
70.7%	1	`i`
76.0%	2	`alpha`
78.2%	2	`beta`

Compiler

Compiled 68 to 26 computations (61.8% saved)

regimes12.0ms (0.1%)

Memory

-26.3MiB live, 16.9MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) #s(approx (+ (/ 1/64 (* i i)) 1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha 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 #s(approx (* (+ alpha i) i) (.f64 i i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 alpha 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 (+.f64 i alpha) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))

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

Calls

2 calls:

7.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
70.7%	1	`alpha`
75.3%	2	`beta`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) #s(approx (+ (/ 1/64 (* i i)) 1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha 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 #s(approx (* (+ alpha i) i) (.f64 i i)) (.f64 beta beta)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
75.2%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 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))

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) #s(approx (+ (/ 1/64 (* i i)) 1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))

Calls

2 calls:

2.0ms	beta
2.0ms	i

Results

Accuracy	Segments	Branch
70.7%	1	`i`
70.7%	1	`beta`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Accuracy

Total -42.6b remaining (-226.5%)

Threshold costs -42.6b (-226.5%)

Counts

2 → 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))

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) #s(approx (+ (/ 1/64 (* i i)) 1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))

Outputs

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

Calls

4 calls:

1.0ms	alpha
1.0ms	i
1.0ms	beta
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
70.6%	1	`beta`
70.6%	1	`alpha`
70.6%	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)))`
70.6%	1	`i`

Compiler

Compiled 68 to 26 computations (61.8% saved)

bsearch18.0ms (0.2%)

Memory

-5.8MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.548770504715156e+170	4.966480493176425e+171

Samples

11.0ms

112×

valid

Compiler

Compiled 255 to 142 computations (44.3% saved)

Precisions

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

ival-mult: 3.0ms (34.8% of total)

ival-sub: 2.0ms (23.2% of total)

ival-add: 2.0ms (23.2% of total)

ival-div: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.548770504715156e+170	4.966480493176425e+171

Compiler

Compiled 248 to 128 computations (48.4% saved)

bsearch23.0ms (0.2%)

Memory

5.9MiB live, 41.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1320148977119797e+210	5.1301913697172243e+216

Samples

15.0ms

144×

valid

Compiler

Compiled 302 to 167 computations (44.7% saved)

Precisions

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

ival-mult: 4.0ms (47.6% of total)

ival-add: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

ival-div: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-1.9MiB live, 35.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.427640694986038e+242	4.417151609021534e+246

Samples

13.0ms

128×

valid

Compiler

Compiled 283 to 159 computations (43.8% saved)

Precisions

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

ival-mult: 5.0ms (53.9% of total)

ival-add: 2.0ms (21.5% of total)

ival-sub: 1.0ms (10.8% of total)

ival-div: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.427640694986038e+242	4.417151609021534e+246

Compiler

Compiled 275 to 151 computations (45.1% saved)

simplify12.0ms (0.1%)

Memory

-31.3MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1188
1	94	1188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 16500000000000000563954417062499980638739670256518365110730346982681116741373275535725552724391871288983052518509117826847421772652772553025670615092058157288273831232068043775156956010420713727275164731681485619200 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 alpha i) (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta))))
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 16500000000000000563954417062499980638739670256518365110730346982681116741373275535725552724391871288983052518509117826847421772652772553025670615092058157288273831232068043775156956010420713727275164731681485619200 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 alpha i) (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 alpha i) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (.f64 alpha i)) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) #s(approx (- (+ 1/16 (/ (* 1/16 (* beta beta)) (* i i))) (/ (* 1/256 (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20))) (* i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness657.0ms (5.7%)

Memory

25.5MiB live, 539.4MiB allocated

Rules

9 164×	`lower-fma.f64`
9 164×	`lower-fma.f32`
6 842×	`lower-*.f64`
6 842×	`lower-*.f32`
6 012×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2946	54224
0	8436	51402
0	1089	12630
1	3841	11840
0	8260	10972
0	1178	32678
1	3916	32227
0	8360	29662
0	54	561
0	86	448
1	499	442
2	4738	442
0	8723	438

Stop Event

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

Compiler

Compiled 311 to 161 computations (48.2% saved)

preprocess127.0ms (1.1%)

Memory: 8.6MiB live, 127.0MiB allocated
Compiler: Compiled 430 to 126 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze27.0ms (0.2%)

sample1.7s (15.2%)

explain243.0ms (2.1%)

preprocess180.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify208.0ms (1.8%)

localize80.0ms (0.7%)

series99.0ms (0.9%)

simplify304.0ms (2.7%)

rewrite439.0ms (3.8%)

eval448.0ms (3.9%)

prune308.0ms (2.7%)

simplify182.0ms (1.6%)

localize238.0ms (2.1%)

series328.0ms (2.9%)

simplify467.0ms (4.1%)

rewrite236.0ms (2.1%)

eval770.0ms (6.7%)

prune708.0ms (6.2%)

simplify150.0ms (1.3%)

localize164.0ms (1.4%)

series186.0ms (1.6%)

simplify282.0ms (2.5%)

rewrite206.0ms (1.8%)

eval224.0ms (2%)

prune288.0ms (2.5%)

simplify140.0ms (1.2%)

localize229.0ms (2%)

series95.0ms (0.8%)

simplify634.0ms (5.5%)

rewrite224.0ms (2%)

eval267.0ms (2.3%)

prune330.0ms (2.9%)

regimes88.0ms (0.8%)

regimes6.0ms (0.1%)

regimes32.0ms (0.3%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch23.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

simplify12.0ms (0.1%)

soundness657.0ms (5.7%)

preprocess127.0ms (1.1%)

end0.0ms (0%)

Profiling