Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze23.0ms (0.2%)

Memory

-7.1MiB live, 38.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.9s (18.2%)

Memory

27.0MiB live, 2 350.8MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-add: 360.0ms (35.5% of total)

ival-mult: 358.0ms (35.3% of total)

ival->: 122.0ms (12% of total)

ival-div: 97.0ms (9.6% of total)

ival-sub: 40.0ms (3.9% of total)

ival-and: 18.0ms (1.8% of total)

exact: 17.0ms (1.7% of total)

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

Bogosity

explain290.0ms (2.8%)

Memory

24.0MiB live, 411.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
214	0	-	-	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`
130	1	(5.908210454725066e+184 2.2501372672099918e-268 1.6686722485926533e+23)	-	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`i`
0	0	-	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	0	-	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	0	-	-	`beta`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`
0	0	-	-	`(+.f64 (+.f64 alpha beta) i)`
0	0	-	-	`alpha`
0	0	-	-	`(*.f64 beta alpha)`
0	0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	0	-	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	0	-	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
0	0	-	-	`#s(literal 2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	149	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	131
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	214
↳	`(*.f64 beta alpha)`	overflow	16
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	256
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	149
`/.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	103	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	131
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	214
↳	`(*.f64 beta alpha)`	overflow	16
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	256
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	149
↳	`(/.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	103
↳	`(-.f64 (.f64 (+.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	149
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	149
`/.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	65	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	131
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	214
↳	`(*.f64 beta alpha)`	overflow	16
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	256
`/.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	28	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	149
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	149

Confusion

	Predicted +	Predicted -
+	214	0
-	0	42

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	214	0	0
-	0	0	42

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	42
1	83
2	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 423 to 55 computations (87% saved)

Precisions

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

ival-div: 21.0ms (43.4% of total)

ival-mult: 14.0ms (28.9% of total)

ival-add: 9.0ms (18.6% of total)

ival-sub: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess164.0ms (1.6%)

Memory

-23.9MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 53 to 17 computations (67.9% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.1%	(/.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)))

Status

Accuracy

Program

▶

17.1%

(/.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)))

Compiler

Compiled 53 to 17 computations (67.9% saved)

simplify127.0ms (1.2%)

Memory

31.9MiB live, 122.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (0.7%)

Memory

-27.5MiB live, 70.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.078125	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	31.25092102125528	(/.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	46.62319785289841	(/.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

58.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 21.0ms (65.1% of total)

ival-mult: 7.0ms (21.7% of total)

ival-div: 3.0ms (9.3% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.6%)

Memory

16.1MiB live, 105.6MiB allocated

Counts

7 → 164

Calls

Call 1

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

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

Calls

9 calls:

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

simplify272.0ms (2.6%)

Memory

16.6MiB live, 302.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

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

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

rewrite708.0ms (6.9%)

Memory

-30.1MiB live, 256.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 862

Calls

Call 1

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

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

eval595.0ms (5.8%)

Memory: 31.0MiB live, 357.4MiB allocated
Compiler: Compiled 132 213 to 5 964 computations (95.5% saved)

prune52.0ms (0.5%)

Memory

18.6MiB live, 109.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 618	15	1 633
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 619	15	1 634

Accuracy

98.9%

Counts

1 634 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.9%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 2 binary64))) (-.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 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	15.5%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 beta alpha) i) #s(literal 3 binary64))) (fma.f64 i i (-.f64 (pow.f64 (+.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) (.f64 (+.f64 (+.f64 beta alpha) i) 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)))
	4.5%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 beta beta)))
▶	12.9%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.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)))
▶	17.1%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	44.3%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	21.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	36.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	42.0%	(/.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)))
	26.4%	(.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (.f64 i (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	16.5%	#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 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
▶	32.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
▶	69.0%	#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))

Compiler

Compiled 1 964 to 768 computations (60.9% saved)

simplify180.0ms (1.7%)

Memory

-36.3MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	873
0	87	873
1	203	873
2	848	839
3	6407	815
0	8337	756

Stop Event

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

Calls

Call 1

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

localize194.0ms (1.9%)

Memory

-21.0MiB live, 256.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta)))
accuracy	9.66563590498876	(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta)
accuracy	31.25092102125528	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.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	46.62319785289841	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))))
accuracy	0.078125	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)))
accuracy	0.8268612835867172	#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))
accuracy	31.25092102125528	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	46.62319785289841	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))))
accuracy	0.0234375	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.078125	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))
accuracy	15.927290921742967	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i)))
accuracy	31.25092102125528	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 alpha i)
accuracy	0.00390625	(/.f64 (+.f64 alpha i) beta)
accuracy	0.21484375	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
accuracy	43.05603822764578	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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	19.843586546627044	#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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

160.0ms

256×

valid

Compiler

Compiled 749 to 38 computations (94.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 40.0ms (63.2% of total)

ival-add: 13.0ms (20.6% of total)

ival-div: 7.0ms (11.1% of total)

ival-sub: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series71.0ms (0.7%)

Memory

17.3MiB live, 106.7MiB allocated

Counts

22 → 245

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* i (/ (+ alpha i) beta)) (+ 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 (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))
12.0ms	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) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* i (/ (+ alpha i) beta)) (+ 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 (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))
10.0ms	alpha	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* i (/ (+ alpha i) beta)) (+ 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 (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))
5.0ms	alpha	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* i (/ (+ alpha i) beta)) (+ 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 (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))
5.0ms	beta	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* i (/ (+ alpha i) beta)) (+ 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 (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))

simplify243.0ms (2.4%)

Memory

-27.0MiB live, 304.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1318	12196
1	4900	11795
0	8070	10837

Stop Event

1×	iter limit
1×	node limit

Counts

245 → 242

Calls

Call 1

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

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

rewrite218.0ms (2.1%)

Memory

12.3MiB live, 246.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	651
0	87	561
1	350	561
2	3207	561
0	8491	531

Stop Event

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

Counts

22 → 543

Calls

Call 1

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

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

eval304.0ms (3%)

Memory: 52.9MiB live, 414.1MiB allocated
Compiler: Compiled 174 597 to 6 755 computations (96.1% saved)

prune181.0ms (1.8%)

Memory

-6.7MiB live, 143.5MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	2 165	18	2 183
Fresh	7	3	10
Picked	4	1	5
Done	0	0	0
Total	2 176	22	2 198

Accuracy

99.0%

Counts

2 198 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.7%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 2 binary64))) (-.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 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	12.9%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) 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)))
	17.1%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (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)))
▶	44.7%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	19.3%	(/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) i (+.f64 alpha i)) beta)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	21.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	42.0%	(/.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)))
	36.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha) beta))) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	34.4%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) i (+.f64 alpha i)) beta)) (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))))
	10.9%	(.f64 i (/.f64 (.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) i (+.f64 alpha i)) beta)) (+.f64 (+.f64 beta alpha) i)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))))
	16.5%	#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 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
▶	32.5%	#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 (+.f64 alpha i) beta) i) beta))
	18.3%	#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) i) (.f64 beta beta)))
	32.6%	#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 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
	32.6%	#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) (.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i)) beta) (/.f64 i beta)))
▶	18.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	13.4%	#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 alpha beta)) (/.f64 i beta)))
	26.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
	30.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) beta)) (neg.f64 i))) (/.f64 i beta)))
	26.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (+.f64 alpha i) beta) beta)))
✓	69.0%	#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))

Compiler

Compiled 2 903 to 1 145 computations (60.6% saved)

simplify198.0ms (1.9%)

Memory

-16.0MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	841
0	97	802
1	242	802
2	936	802
3	7539	786
0	8007	770

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (1.5%)

Memory

18.1MiB live, 203.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta)))
accuracy	9.66563590498876	(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta)
accuracy	31.25092102125528	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) 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)))
accuracy	46.62319785289841	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))))
accuracy	0.0	(neg.f64 alpha)
accuracy	0.0234375	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	18.23700404213109	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i)))
accuracy	31.25092102125528	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.00390625	(/.f64 (+.f64 alpha i) beta)
accuracy	0.140625	(*.f64 (/.f64 (+.f64 alpha i) beta) i)
accuracy	3.394106999444122	(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
accuracy	43.05603822764578	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
accuracy	0.0	(*.f64 beta beta)
accuracy	4.694689798098743	(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
accuracy	8.122794642994707	(/.f64 i (*.f64 beta beta))
accuracy	43.05603822764578	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
accuracy	0.0625	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	0.8268612835867172	#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))
accuracy	30.815509457891444	(/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
accuracy	31.25092102125528	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Samples

86.0ms

256×

valid

Compiler

Compiled 748 to 47 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 22.0ms (36.4% of total)

ival-mult: 21.0ms (34.8% of total)

ival-add: 12.0ms (19.9% of total)

ival-sub: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series77.0ms (0.8%)

Memory

-8.8MiB live, 84.9MiB allocated

Counts

24 → 268

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	alpha	@	0	((/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -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)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (neg alpha) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta))
15.0ms	beta	@	inf	((/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -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)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (neg alpha) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta))
5.0ms	beta	@	-inf	((/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -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)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (neg alpha) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta))
5.0ms	beta	@	0	((/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -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)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (neg alpha) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta))
4.0ms	i	@	-inf	((/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -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)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (neg alpha) (* (+ (* i (/ (+ alpha i) beta)) (+ alpha i)) beta))

simplify292.0ms (2.8%)

Memory

17.3MiB live, 200.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1608	14248
1	5815	13999
0	8728	12838

Stop Event

1×	iter limit
1×	node limit

Counts

268 → 265

Calls

Call 1

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

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

rewrite262.0ms (2.6%)

Memory

-5.9MiB live, 283.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	618
0	97	529
1	414	519
2	3482	519
0	8465	505

Stop Event

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

Counts

24 → 769

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i))) (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i)) (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i))) (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i))) (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(/.f64 (.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i)) (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i)) (+.f64 (+.f64 i alpha) beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i))) (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) i)) (+.f64 (+.f64 i alpha) beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) beta) i) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
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(fma.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal -1 binary64)))
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(fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal -1 binary64))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) alpha) beta) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) alpha) beta) (fma.f64 #s(literal 4 binary64) (.f64 i i) (*.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (-.f64 (+.f64 alpha beta) i) i)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i)))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) (.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i))) (-.f64 (-.f64 (+.f64 alpha beta) i) i)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) alpha) beta)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) (.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i))) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) alpha) beta)))
(/.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) i) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (*.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i)))))
(/.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) (.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i))) (fma.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) (.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i))) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) i) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) alpha))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i beta)))
(fma.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(fma.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i))
(fma.f64 #s(literal 2 binary64) (.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(fma.f64 i (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i))))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) (*.f64 (neg.f64 (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 #s(literal 2 binary64) i)))
(fabs.f64 (-.f64 (.f64 (neg.f64 (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)))
(fabs.f64 (-.f64 (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)))
(fabs.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))))
(fabs.f64 (-.f64 (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))))
(fabs.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) i) (+.f64 alpha beta)) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(fabs.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) i) (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(fabs.f64 (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (.f64 #s(literal -2 binary64) i) (+.f64 alpha beta))))
(fabs.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (-.f64 (.f64 #s(literal -2 binary64) i) (+.f64 alpha beta))))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(+.f64 (.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) alpha))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i beta)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i))
(neg.f64 alpha)
(*.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i (+.f64 i alpha)) beta)
(*.f64 beta (fma.f64 (/.f64 (+.f64 i alpha) beta) i (+.f64 i alpha)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64)) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) beta)) (neg.f64 (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) i) alpha)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (+.f64 i alpha) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 3 binary64))) beta)) (neg.f64 (fma.f64 (+.f64 i alpha) (-.f64 (+.f64 i alpha) (.f64 (/.f64 (+.f64 i alpha) beta) i)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 beta (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64)) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) i) alpha)))
(/.f64 (neg.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 i alpha) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 i alpha) (-.f64 (+.f64 i alpha) (.f64 (/.f64 (+.f64 i alpha) beta) i)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64)) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) beta) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) i) alpha))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 i alpha) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 3 binary64))) beta) (fma.f64 (+.f64 i alpha) (-.f64 (+.f64 i alpha) (.f64 (/.f64 (+.f64 i alpha) beta) i)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64))))
(/.f64 (.f64 beta (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64)) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) i) alpha))
(/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 i alpha) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 3 binary64)))) (fma.f64 (+.f64 i alpha) (-.f64 (+.f64 i alpha) (.f64 (/.f64 (+.f64 i alpha) beta) i)) (pow.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i alpha) beta (*.f64 i beta))
(fma.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) beta (.f64 (+.f64 i alpha) beta))
(fma.f64 (+.f64 i alpha) beta (.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
(fma.f64 beta (fma.f64 (/.f64 (+.f64 i alpha) beta) i alpha) (*.f64 i beta))
(fma.f64 beta (.f64 (/.f64 (+.f64 i alpha) beta) i) (.f64 beta (+.f64 i alpha)))
(fma.f64 beta (+.f64 i alpha) (.f64 beta (.f64 (/.f64 (+.f64 i alpha) beta) i)))
(+.f64 (.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i alpha) beta) (.f64 i beta))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 i alpha) beta) i) beta) (*.f64 (+.f64 i alpha) beta))
(+.f64 (.f64 (+.f64 i alpha) beta) (.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
(+.f64 (.f64 beta (fma.f64 (/.f64 (+.f64 i alpha) beta) i alpha)) (.f64 i beta))
(+.f64 (.f64 beta (.f64 (/.f64 (+.f64 i alpha) beta) i)) (*.f64 beta (+.f64 i alpha)))
(+.f64 (.f64 beta (+.f64 i alpha)) (.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i)))

eval320.0ms (3.1%)

Memory: -7.2MiB live, 545.4MiB allocated
Compiler: Compiled 165 029 to 6 932 computations (95.8% saved)

prune100.0ms (1%)

Memory

4.2MiB live, 229.5MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	2 080	19	2 099
Fresh	7	9	16
Picked	3	2	5
Done	0	1	1
Total	2 090	31	2 121

Accuracy

99.0%

Counts

2 121 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (fma.f64 #s(literal 2 binary64) i beta)))) (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)))
	17.1%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (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)))
	32.4%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (neg.f64 i) (-.f64 (neg.f64 alpha) i))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))
	44.7%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -1 binary64)))
▶	44.7%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) i) #s(literal 2 binary64) #s(literal -1 binary64))))
	15.6%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (*.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i)))) #s(literal 1 binary64)))
	22.3%	(/.f64 (.f64 #s(approx (/ (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (neg.f64 (neg.f64 (+.f64 i alpha)))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	21.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -1 binary64)))
▶	21.0%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (.f64 #s(literal -2 binary64) i))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	17.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (+.f64 alpha beta))) #s(literal 1 binary64)))
	21.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) i))) #s(literal 1 binary64)))
▶	42.0%	(/.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)))
	36.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha) beta))) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	34.4%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i (+.f64 i alpha)) beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
	10.9%	(.f64 i (/.f64 (.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i (+.f64 i alpha)) beta)) (+.f64 (+.f64 i alpha) beta)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)))))
	16.5%	#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 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
✓	32.5%	#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 (+.f64 alpha i) beta) i) beta))
	22.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 i beta) (.f64 (+.f64 i alpha) (-.f64 alpha i))) (*.f64 beta (-.f64 alpha i))))
▶	18.3%	#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 i alpha) i) (.f64 beta beta)))
	29.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	13.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta))
	26.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) i) beta))
	26.0%	#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) i) (/.f64 (*.f64 i i) beta)) beta))
	32.6%	#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 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
	32.6%	#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) (.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i)) beta) (/.f64 i beta)))
✓	18.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	13.4%	#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 alpha beta)) (/.f64 i beta)))
	30.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) beta)) (neg.f64 i))) (/.f64 i beta)))
▶	26.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
✓	69.0%	#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))

Compiler

Compiled 3 909 to 1 599 computations (59.1% saved)

simplify155.0ms (1.5%)

Memory

12.0MiB live, 291.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	1	(-.f64 alpha (*.f64 #s(literal -2 binary64) i))
cost-diff	1	(-.f64 (.f64 (fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (.f64 #s(literal -2 binary64) i))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	3	(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (*.f64 #s(literal -2 binary64) i)))
cost-diff	0	#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)))
cost-diff	0	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #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)))
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	1	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 i alpha) beta)
cost-diff	0	(/.f64 (/.f64 (+.f64 i alpha) beta) beta)
cost-diff	0	(*.f64 i (/.f64 (/.f64 (+.f64 i alpha) 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 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
cost-diff	0	(+.f64 i alpha)
cost-diff	0	(*.f64 (+.f64 i alpha) i)
cost-diff	0	(/.f64 (.f64 (+.f64 i 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 (+.f64 i alpha) i) (.f64 beta beta)))
cost-diff	0	(/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
cost-diff	0	(.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
cost-diff	0	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) i) #s(literal 2 binary64) #s(literal -1 binary64))))
cost-diff	7	(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) i) #s(literal 2 binary64) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	773
0	109	718
1	262	718
2	1065	718
0	8482	699

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.5%)

Memory

-5.5MiB live, 285.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (.f64 #s(literal -2 binary64) i))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.19140625	(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (*.f64 #s(literal -2 binary64) i)))
accuracy	15.95966029213109	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i)))
accuracy	28.58658669756867	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (.f64 #s(literal -2 binary64) i))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.0234375	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.20415365037531816	(.f64 #s(literal 1/4 binary64) (.f64 i i))
accuracy	15.334897570358942	#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)))
accuracy	28.58658669756867	(/.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)))
accuracy	0.00390625	(/.f64 (+.f64 i alpha) beta)
accuracy	0.109375	(/.f64 (/.f64 (+.f64 i alpha) beta) beta)
accuracy	4.137011101258399	(*.f64 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta))
accuracy	37.72782471031656	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
accuracy	0.0	(*.f64 (+.f64 i alpha) i)
accuracy	0.0	(*.f64 beta beta)
accuracy	17.10628402026592	(/.f64 (.f64 (+.f64 i alpha) i) (.f64 beta beta))
accuracy	37.72782471031656	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 i alpha) i) (.f64 beta beta)))
accuracy	0.0625	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	0.8268612835867172	#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))
accuracy	28.237548382588905	(/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
accuracy	28.58658669756867	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) i) #s(literal 2 binary64) #s(literal -1 binary64))))

Samples

106.0ms	234×	0	valid
8.0ms	22×	0	invalid

Compiler

Compiled 727 to 59 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 30.0ms (34.4% of total)

ival-sub: 20.0ms (22.9% of total)

ival-add: 18.0ms (20.7% of total)

ival-div: 14.0ms (16.1% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series153.0ms (1.5%)

Memory

-13.1MiB live, 173.8MiB allocated

Counts

27 → 318

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	alpha	@	0	((+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1)) (/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1))) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ (/ (* (* i (+ (+ alpha beta) 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) i) (* beta beta)) (* (+ i alpha) i) (+ i alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* i (/ (/ (+ i alpha) beta) beta)) (/ (/ (+ i alpha) beta) beta) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))) 1) (- alpha (* -2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* 1/4 (* i 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)))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -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)))) (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))))
19.0ms	beta	@	-inf	((+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1)) (/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1))) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ (/ (* (* i (+ (+ alpha beta) 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) i) (* beta beta)) (* (+ i alpha) i) (+ i alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* i (/ (/ (+ i alpha) beta) beta)) (/ (/ (+ i alpha) beta) beta) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))) 1) (- alpha (* -2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* 1/4 (* i 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)))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -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)))) (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))))
14.0ms	beta	@	0	((+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1)) (/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1))) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ (/ (* (* i (+ (+ alpha beta) 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) i) (* beta beta)) (* (+ i alpha) i) (+ i alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* i (/ (/ (+ i alpha) beta) beta)) (/ (/ (+ i alpha) beta) beta) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))) 1) (- alpha (* -2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* 1/4 (* i 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)))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -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)))) (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))))
8.0ms	alpha	@	-inf	((+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1)) (/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1))) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ (/ (* (* i (+ (+ alpha beta) 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) i) (* beta beta)) (* (+ i alpha) i) (+ i alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* i (/ (/ (+ i alpha) beta) beta)) (/ (/ (+ i alpha) beta) beta) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))) 1) (- alpha (* -2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* 1/4 (* i 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)))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -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)))) (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))))
7.0ms	beta	@	inf	((+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1)) (/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1))) (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ (/ (* (* i (+ (+ alpha beta) 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) i) (* beta beta)) (* (+ i alpha) i) (+ i alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* i (/ (/ (+ i alpha) beta) beta)) (/ (/ (+ i alpha) beta) beta) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))) 1) (- alpha (* -2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (* 1/4 (* i 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)))) (- (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -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)))) (* (+ (* (sqrt beta) (sqrt beta)) (- alpha (* -2 i))) (+ (+ alpha beta) (* 2 i))))

simplify249.0ms (2.4%)

Memory

19.9MiB live, 445.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2201	26310
1	8000	26310
0	8032	23661

Stop Event

1×	iter limit
1×	node limit

Counts

318 → 315

Calls

Call 1

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

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

rewrite968.0ms (9.4%)

Memory

-116.4MiB live, 313.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	647
0	109	513
1	472	503
2	4119	503
0	8235	492

Stop Event

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

Counts

27 → 1 097

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (-.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)))
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) i (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) i (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (fabs.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) i)) #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (exp.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (exp.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) i (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fabs.f64 (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 i #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha) (-.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 1 binary64)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) alpha (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) beta (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64))))
(fma.f64 (.f64 i #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 1 binary64)))
(fma.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)))
(fma.f64 alpha (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) beta (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64))))
(fma.f64 i (fabs.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 i (fabs.f64 (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 i (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 i (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) i)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) i) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))
(expm1.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))
(expm1.f64 (log.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 beta alpha)))
(-.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) i #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
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eval232.0ms (2.3%)

Memory: 12.2MiB live, 234.1MiB allocated
Compiler: Compiled 112 459 to 6 037 computations (94.6% saved)

prune103.0ms (1%)

Memory

-3.6MiB live, 147.8MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1 242	11	1 253
Fresh	2	21	23
Picked	5	0	5
Done	1	2	3
Total	1 250	34	1 284

Accuracy

99.0%

Counts

1 284 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (fma.f64 #s(literal 2 binary64) i beta)))) (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)))
	17.1%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (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)))
	32.4%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (neg.f64 i) (-.f64 (neg.f64 alpha) i))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)))
	44.7%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)))
	15.6%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (*.f64 (+.f64 alpha beta) (-.f64 (-.f64 (+.f64 alpha beta) i) i)))) #s(literal 1 binary64)))
	44.7%	(/.f64 (.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) #s(approx (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1)) (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) i) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i beta) beta)) #s(literal 1 binary64))))
	22.3%	(/.f64 (.f64 #s(approx (/ (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (neg.f64 (neg.f64 (+.f64 i alpha)))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	21.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -1 binary64)))
	21.0%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (-.f64 alpha (.f64 #s(literal -2 binary64) i))) #s(approx (+ (+ alpha beta) ( 2 i)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)))
	17.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (+.f64 alpha beta))) #s(literal 1 binary64)))
	21.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) i))) #s(literal 1 binary64)))
	42.0%	(/.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)) #s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)))
	36.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha) beta))) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	34.4%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i (+.f64 i alpha)) beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
	10.9%	(.f64 i (/.f64 (.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i (+.f64 i alpha)) beta)) (+.f64 (+.f64 i alpha) beta)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)))))
	16.5%	#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 (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
✓	32.5%	#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 (+.f64 alpha i) beta) i) beta))
	22.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 i beta) (.f64 (+.f64 i alpha) (-.f64 alpha i))) (*.f64 beta (-.f64 alpha i))))
	29.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	13.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta))
	26.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) i) beta))
	26.0%	#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) i) (/.f64 (*.f64 i i) beta)) beta))
	18.4%	#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 (* (+ i alpha) i) (.f64 i i)) (.f64 beta beta)))
	32.6%	#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 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
	32.6%	#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) (.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i)) beta) (/.f64 i beta)))
	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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	13.4%	#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 alpha beta)) (/.f64 i beta)))
	30.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 #s(approx (/ (+ alpha i) beta) (.f64 (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) beta)) (neg.f64 i))) (/.f64 i beta)))
	26.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) beta)))
	25.0%	#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 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) beta)))
	11.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) beta)))
	18.8%	#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 #s(approx (/ (/ (+ i alpha) beta) beta) (/.f64 i (.f64 beta beta)))))
✓	69.0%	#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))
	76.5%	#s(approx (/ (* (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha))))) (+ (* (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (+ (* (* (+ (* 2 i) (+ alpha beta)) i) 2) -1))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 beta alpha) i))))

Compiler

Compiled 6 524 to 1 318 computations (79.8% saved)

regimes112.0ms (1.1%)

Memory

3.0MiB live, 138.5MiB allocated

Counts

64 → 2

Calls

Call 1

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

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

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

Calls

4 calls:

40.0ms	i
30.0ms	beta
17.0ms	alpha
15.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
79.3%	2	`alpha`
87.2%	2	`beta`
81.5%	2	`i`
85.3%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes10.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms

beta

4.0ms

(/.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
71.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
84.1%	2	`beta`

Compiler

Compiled 54 to 20 computations (63% saved)

regimes7.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

9 → 3

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	beta
3.0ms	i

Results

Accuracy	Segments	Branch
73.0%	2	`i`
81.3%	3	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
79.6%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	beta
3.0ms	alpha

Results

Accuracy	Segments	Branch
70.9%	2	`alpha`
74.4%	2	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
74.1%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

1.0ms	beta
1.0ms	alpha
1.0ms	i
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
69.0%	1	`alpha`
69.0%	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)))`
69.0%	1	`i`
69.0%	1	`beta`

Compiler

Compiled 56 to 26 computations (53.6% saved)

bsearch33.0ms (0.3%)

Memory

-35.7MiB live, 16.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.518028962969714e+129	2.589058083524973e+131

Samples

10.0ms

112×

valid

Compiler

Compiled 882 to 324 computations (63.3% saved)

Precisions

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

ival-mult: 3.0ms (43.9% of total)

ival-add: 2.0ms (29.3% of total)

ival-div: 1.0ms (14.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.518028962969714e+129	2.589058083524973e+131

Compiler

Compiled 910 to 331 computations (63.6% saved)

bsearch15.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.4722991495511236e+247	2.2329380535192047e+248
1.0ms	7.518028962969714e+129	2.589058083524973e+131

Samples

8.0ms

96×

valid

Compiler

Compiled 1 714 to 638 computations (62.8% saved)

Precisions

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

ival-mult: 3.0ms (49.8% of total)

ival-add: 2.0ms (33.2% of total)

ival-div: 1.0ms (16.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.518028962969714e+129	2.589058083524973e+131

Compiler

Compiled 910 to 338 computations (62.9% saved)

bsearch52.0ms (0.5%)

Memory

-14.2MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	6.334922820715553e+211	2.1017064605642806e+216

Samples

45.0ms

128×

valid

Compiler

Compiled 1 032 to 383 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 36.0ms (87.2% of total)

ival-mult: 3.0ms (7.3% of total)

ival-sub: 1.0ms (2.4% of total)

ival-div: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

22.2MiB live, 22.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.324791561167056e+266	8.560345077336447e+267

Samples

10.0ms

112×

valid

Compiler

Compiled 924 to 345 computations (62.7% saved)

Precisions

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

ival-mult: 3.0ms (43.5% of total)

ival-add: 2.0ms (29% of total)

ival-sub: 1.0ms (14.5% of total)

ival-div: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify73.0ms (0.7%)

Memory

-19.7MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	880
1	128	880
2	512	880
3	4324	796

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 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)) (if (<=.f64 beta #s(literal 209999999999999988398392842837356150563083344648804846652232126404515820594392577741753005572218473285128553955149718245779238730824801880718962553975309176718211851890311970509512453234377450144800534060147225685012021216541315418078458536318205952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) beta))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 439999999999999990121775428625983996294072677575965380602590631951361145566790609865439959468126467535256233618972137391506047252817011621243303684116492139896767812078895413897291912038358718674734137588720861184 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) beta))))
(if (<=.f64 beta #s(literal 234999999999999991466870527249656520527714147169876502131783325343327099190428518138215314623831809170937313125433862625340208039725461925187563328171776697827706730837772445521369288937381824185273378574954303886901069705592080627572604597941286731725813161117351936 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i #s(approx (/ (/ (+ i alpha) beta) beta) (/.f64 i (.f64 beta beta))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 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)) (if (<=.f64 beta #s(literal 209999999999999988398392842837356150563083344648804846652232126404515820594392577741753005572218473285128553955149718245779238730824801880718962553975309176718211851890311970509512453234377450144800534060147225685012021216541315418078458536318205952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) beta))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 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)) (if (<=.f64 beta #s(literal 209999999999999988398392842837356150563083344648804846652232126404515820594392577741753005572218473285128553955149718245779238730824801880718962553975309176718211851890311970509512453234377450144800534060147225685012021216541315418078458536318205952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* 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 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 439999999999999990121775428625983996294072677575965380602590631951361145566790609865439959468126467535256233618972137391506047252817011621243303684116492139896767812078895413897291912038358718674734137588720861184 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) beta))))
(if (<=.f64 beta #s(literal 439999999999999990121775428625983996294072677575965380602590631951361145566790609865439959468126467535256233618972137391506047252817011621243303684116492139896767812078895413897291912038358718674734137588720861184 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) beta))))
(if (<=.f64 beta #s(literal 234999999999999991466870527249656520527714147169876502131783325343327099190428518138215314623831809170937313125433862625340208039725461925187563328171776697827706730837772445521369288937381824185273378574954303886901069705592080627572604597941286731725813161117351936 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i #s(approx (/ (/ (+ i alpha) beta) beta) (/.f64 i (.f64 beta beta))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness804.0ms (7.8%)

Memory

-6.4MiB live, 344.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2201	26310
1	8000	26310
0	8032	23661
0	58	618
0	97	529
1	414	519
2	3482	519
0	8465	505
0	54	651
0	87	561
1	350	561
2	3207	561
0	8491	531
0	1318	12196
1	4900	11795
0	8070	10837
0	1089	11239
1	4076	10377
0	8872	9515

Stop Event

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

Compiler

Compiled 1 454 to 333 computations (77.1% saved)

preprocess92.0ms (0.9%)

Memory: 22.7MiB live, 121.2MiB allocated
Compiler: Compiled 2 110 to 212 computations (90% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze23.0ms (0.2%)

sample1.9s (18.2%)

explain290.0ms (2.8%)

preprocess164.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify127.0ms (1.2%)

localize68.0ms (0.7%)

series58.0ms (0.6%)

simplify272.0ms (2.6%)

rewrite708.0ms (6.9%)

eval595.0ms (5.8%)

prune52.0ms (0.5%)

simplify180.0ms (1.7%)

localize194.0ms (1.9%)

series71.0ms (0.7%)

simplify243.0ms (2.4%)

rewrite218.0ms (2.1%)

eval304.0ms (3%)

prune181.0ms (1.8%)

simplify198.0ms (1.9%)

localize150.0ms (1.5%)

series77.0ms (0.8%)

simplify292.0ms (2.8%)

rewrite262.0ms (2.6%)

eval320.0ms (3.1%)

prune100.0ms (1%)

simplify155.0ms (1.5%)

localize155.0ms (1.5%)

series153.0ms (1.5%)

simplify249.0ms (2.4%)

rewrite968.0ms (9.4%)

eval232.0ms (2.3%)

prune103.0ms (1%)

regimes112.0ms (1.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch33.0ms (0.3%)

bsearch1.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch52.0ms (0.5%)

bsearch17.0ms (0.2%)

simplify73.0ms (0.7%)

soundness804.0ms (7.8%)

preprocess92.0ms (0.9%)

end0.0ms (0%)

Profiling