Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

analyze17.0ms (0.2%)

Memory

0.6MiB live, 37.1MiB 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 (16.8%)

Memory

56.5MiB live, 2 229.9MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 744.0ms

ival-mult: 274.0ms (36.8% of total)

ival-add: 191.0ms (25.7% of total)

ival-div: 142.0ms (19.1% of total)

ival->: 61.0ms (8.2% of total)

ival-sub: 41.0ms (5.5% of total)

ival-and: 18.0ms (2.4% of total)

exact: 15.0ms (2% of total)

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

Bogosity

explain372.0ms (3.3%)

Memory

1.6MiB live, 200.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
214	-	-	`(/.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))))`
160	-	-	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`i`
0	-	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	-	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	-	-	`beta`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`
0	-	-	`(+.f64 (+.f64 alpha beta) i)`
0	-	-	`alpha`
0	-	-	`(*.f64 beta alpha)`
0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	-	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
0	-	-	`#s(literal 2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	177	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	156
↳	`(.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	11
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	308
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	177
`/.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	137	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	156
↳	`(.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	11
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	308
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	177
↳	`(/.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	137
↳	`(-.f64 (.f64 (+.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	177
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	177
`/.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	37	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	156
↳	`(.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	11
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	308
`/.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	23	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	177
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	177

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	54
2	160

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 606 to 72 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 30.0ms (61.8% of total)

ival-add: 9.0ms (18.5% of total)

ival-div: 6.0ms (12.4% of total)

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

ival-true: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

preprocess373.0ms (3.4%)

Memory

-16.9MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	508
1	378	482
2	2065	478
0	17	53
0	29	53
1	76	53
2	324	53
3	2002	53
4	6883	53
0	8193	47

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 53 to 17 computations (67.9% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.8%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

16.8%

(/.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)

simplify345.0ms (3.1%)

Memory

-0.4MiB live, 119.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (0.6%)

Memory

27.6MiB live, 64.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.10384750976844201	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	38.402985068661394	(/.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	45.50697309683616	(/.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

53.0ms

256×

valid

Compiler

Compiled 368 to 36 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 31.0ms (72.6% of total)

ival-mult: 7.0ms (16.4% of total)

ival-div: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.7%)

Memory

-7.5MiB live, 75.5MiB allocated

Counts

7 → 164

Calls

Call 1

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

Outputs
(* 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)
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
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(* (pow i 2) (pow (+ beta i) 2))
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(* alpha (+ beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(pow alpha 2)
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(/ (* i (+ beta i)) (pow alpha 2))
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(* (pow alpha 2) (* i (+ beta i)))
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(* (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 (* 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))) (pow alpha 2)))
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(* -1 (* i (+ (* -1 beta) (* -1 i))))
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(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(* 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) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* (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))
(* 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)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* 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 (* 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))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(* 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) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(/ (* alpha (* beta i)) (+ alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(pow (+ alpha beta) 2)
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 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))))))
(* 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))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* (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))))
(+ 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))))
(* (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
16.0ms	i	@	0	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
6.0ms	beta	@	0	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
6.0ms	beta	@	-inf	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
6.0ms	alpha	@	0	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
5.0ms	alpha	@	-inf	((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))

simplify270.0ms (2.4%)

Memory

-13.1MiB live, 259.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	11307
1	3841	10573
0	8264	9792

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

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

rewrite435.0ms (3.9%)

Memory

7.0MiB live, 290.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	157
0	29	127
1	146	127
2	1503	127
0	8191	117

Stop Event

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

Counts

7 → 609

Calls

Call 1

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

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

eval379.0ms (3.4%)

Memory: 2.1MiB live, 347.3MiB allocated
Compiler: Compiled 102 932 to 4 777 computations (95.4% saved)

prune38.0ms (0.3%)

Memory

20.1MiB live, 105.6MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1 208	17	1 225
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 209	17	1 226

Accuracy

98.5%

Counts

1 226 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.7%	(/.f64 (/.f64 (/.f64 (.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) i) (/.f64 #s(literal 1 binary64) (+.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)))
	36.0%	(/.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	3.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 alpha beta) (fma.f64 #s(literal 4 binary64) i (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	16.8%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) (+.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 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.1%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i 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)))
	36.0%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	13.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 i alpha) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 i alpha) (+.f64 (+.f64 i alpha) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.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)))
	7.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.f64 i beta) alpha) (+.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)))
	16.8%	(/.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)))
▶	30.4%	(/.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) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (-.f64 (neg.f64 alpha) beta))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	32.9%	(/.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)))
	35.9%	(.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))))
	40.6%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))
	12.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 i alpha) (+.f64 (+.f64 i alpha) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta)))
▶	30.0%	#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) beta) (/.f64 i beta)))
▶	71.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 2 040 to 810 computations (60.3% saved)

simplify155.0ms (1.4%)

Memory

2.6MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	816
0	92	762
1	207	762
2	704	729
3	3341	705
4	6485	693
0	8052	681

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

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

localize123.0ms (1.1%)

Memory

2.7MiB live, 202.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i)))
accuracy	36.09921976321397	(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
accuracy	36.53630498130208	(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
accuracy	38.402985068661394	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.01171875	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.10384750976844201	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) (+.f64 i alpha))))
accuracy	38.402985068661394	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) (+.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 (.f64 (+.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	45.50697309683616	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) (+.f64 i alpha)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))))
accuracy	0.01171875	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.0625	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))
accuracy	13.040619227042288	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)))
accuracy	38.402985068661394	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (-.f64 (neg.f64 alpha) beta))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 i beta)
accuracy	0.0	(+.f64 i alpha)
accuracy	0.22103500976844204	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
accuracy	44.71637827442716	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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) beta) (/.f64 i beta)))
accuracy	18.274120999102205	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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

84.0ms

256×

valid

Compiler

Compiled 1 566 to 102 computations (93.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 31.0ms (50.9% of total)

ival-add: 13.0ms (21.4% of total)

ival-div: 12.0ms (19.7% of total)

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

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series127.0ms (1.1%)

Memory

-4.5MiB live, 186.9MiB allocated

Counts

22 → 285

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	alpha	@	inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) 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)) (/ (+ i alpha) beta) (+ i alpha) (+ (* 2 (+ alpha beta)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ 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)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (* 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)))) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))))
17.0ms	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)) (* (/ (+ i alpha) beta) (/ i beta)) (/ (+ i alpha) beta) (+ i alpha) (+ (* 2 (+ alpha beta)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ 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)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (* 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)))) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))))
14.0ms	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)) (* (/ (+ i alpha) beta) (/ i beta)) (/ (+ i alpha) beta) (+ i alpha) (+ (* 2 (+ alpha beta)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ 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)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (* 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)))) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) 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)) (* (/ (+ i alpha) beta) (/ i beta)) (/ (+ i alpha) beta) (+ i alpha) (+ (* 2 (+ alpha beta)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ 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)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (* 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)))) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))))
9.0ms	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)) (* (/ (+ i alpha) beta) (/ i beta)) (/ (+ i alpha) beta) (+ i alpha) (+ (* 2 (+ alpha beta)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ 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)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) (* 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)))) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))))

simplify250.0ms (2.2%)

Memory

3.4MiB live, 290.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1693	14637
1	5815	14322
0	8529	13228

Stop Event

1×	iter limit
1×	node limit

Counts

285 → 282

Calls

Call 1

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

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

rewrite330.0ms (3%)

Memory

-3.3MiB live, 461.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	602
0	92	503
1	428	493
2	4131	493
0	9882	489

Stop Event

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

Counts

22 → 1 251

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

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

eval586.0ms (5.3%)

Memory: 44.3MiB live, 818.8MiB allocated
Compiler: Compiled 376 086 to 10 695 computations (97.2% saved)

prune94.0ms (0.8%)

Memory

-8.3MiB live, 269.1MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	3 580	19	3 599
Fresh	9	3	12
Picked	4	1	5
Done	0	0	0
Total	3 593	23	3 616

Accuracy

98.6%

Counts

3 616 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64))))) #s(literal 1 binary64)))
	35.9%	(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 beta alpha) i (fma.f64 i i (.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.8%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) (+.f64 i alpha)))) (.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)))
▶	35.3%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/.f64 (.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	36.0%	(/.f64 (.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 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i))) i) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	7.8%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.f64 i beta) alpha) (+.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)))
▶	16.8%	(/.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)))
	32.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(approx (+ 1/4 (/ ( 1/4 (+ (* 2 (+ alpha beta)) (- (neg alpha) beta))) i)) #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)))
	7.9%	(/.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 (+ alpha beta)) (- (neg alpha) beta))) i)) (* i i)) (.f64 (.f64 beta i) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	30.4%	(/.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 (+ alpha beta)) (- (neg alpha) beta))) i)) (* i i)) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	40.6%	(.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 (+.f64 beta i) (+.f64 alpha 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))))
	12.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 i alpha) (+.f64 (+.f64 i alpha) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta)))
	30.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
▶	29.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
	14.6%	#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) i) (.f64 beta beta)))
	21.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
	21.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (pow.f64 (.f64 beta (/.f64 beta i)) #s(literal -1 binary64))))
	22.3%	#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 alpha i) (/.f64 (/.f64 i beta) beta)))
▶	15.3%	#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 alpha i) (/.f64 i (.f64 beta beta))))
	28.4%	#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 (exp.f64 (.f64 (log.f64 (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) (/.f64 i beta)))
	28.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta)))
	11.5%	#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 (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta)))
✓	71.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 2 951 to 1 187 computations (59.8% saved)

simplify134.0ms (1.2%)

Memory

12.3MiB live, 202.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	816
0	108	790
1	232	790
2	712	738
3	3955	738
4	6824	738
0	8059	731

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (1.5%)

Memory

-27.2MiB live, 231.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.621836241120461	#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	36.07060729270983	(/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))
accuracy	36.09921976321397	(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))
accuracy	38.402985068661394	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/.f64 (.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.00390625	(*.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))
accuracy	0.01171875	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	13.945880301616388	#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	38.402985068661394	(/.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	0.0	(+.f64 alpha i)
accuracy	0.140625	(*.f64 (/.f64 (+.f64 alpha i) beta) i)
accuracy	5.042850506736083	(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
accuracy	44.71637827442716	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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	5.2457482876851635	(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
accuracy	10.7933140375818	(/.f64 i (*.f64 beta beta))
accuracy	44.71637827442716	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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	0.03125	(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
accuracy	0.06640625	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	0.1328125	(.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 (+.f64 beta i) (+.f64 alpha 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))))
accuracy	36.53630498130208	(/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))

Samples

113.0ms

256×

valid

Compiler

Compiled 1 559 to 122 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 40.0ms (49.9% of total)

ival-div: 19.0ms (23.7% of total)

ival-add: 14.0ms (17.4% of total)

ival-sub: 4.0ms (5% of total)

ival-neg: 2.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series162.0ms (1.5%)

Memory

26.2MiB live, 178.7MiB allocated

Counts

26 → 387

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	i	@	-inf	((/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (* (+ (+ 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)) (* 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) (* (- (neg alpha) i) (neg i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ i (+ (* 2 i) (+ beta alpha))) (* (+ 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))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (* (+ beta i) i) (+ (* 2 i) beta)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))))
24.0ms	beta	@	inf	((/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (* (+ (+ 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)) (* 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) (* (- (neg alpha) i) (neg i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ i (+ (* 2 i) (+ beta alpha))) (* (+ 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))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (* (+ beta i) i) (+ (* 2 i) beta)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))))
21.0ms	i	@	inf	((/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (* (+ (+ 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)) (* 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) (* (- (neg alpha) i) (neg i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ i (+ (* 2 i) (+ beta alpha))) (* (+ 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))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (* (+ beta i) i) (+ (* 2 i) beta)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))))
16.0ms	i	@	0	((/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (* (+ (+ 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)) (* 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) (* (- (neg alpha) i) (neg i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ i (+ (* 2 i) (+ beta alpha))) (* (+ 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))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (* (+ beta i) i) (+ (* 2 i) beta)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))))
11.0ms	beta	@	0	((/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (* (+ (+ 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)) (* 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) (* (- (neg alpha) i) (neg i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (/ (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (/ i (+ (* 2 i) (+ beta alpha))) (* (+ 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))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i)) (/ (* (+ beta i) i) (+ (* 2 i) beta)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))))

simplify384.0ms (3.4%)

Memory

-49.4MiB live, 351.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3021	31904
0	8090	30690

Stop Event

1×	iter limit
1×	node limit

Counts

387 → 384

Calls

Call 1

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

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

rewrite492.0ms (4.4%)

Memory

-15.8MiB live, 255.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	641
0	108	563
1	519	558
2	4537	558
0	8268	548

Stop Event

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

Counts

26 → 841

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (neg.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i alpha) (+.f64 i beta))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i alpha) (+.f64 i beta)))) #s(literal -1 binary64)) (pow.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 alpha) (+.f64 i beta))) (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 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(.f64 (/.f64 (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i alpha) (+.f64 i beta))) (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 (+.f64 alpha beta) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(approx (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i alpha) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
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eval333.0ms (3%)

Memory: 53.4MiB live, 431.9MiB allocated
Compiler: Compiled 135 157 to 6 884 computations (94.9% saved)

prune62.0ms (0.6%)

Memory

2.5MiB live, 166.1MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 526	24	1 550
Fresh	12	5	17
Picked	4	1	5
Done	0	1	1
Total	1 542	31	1 573

Accuracy

99.9%

Counts

1 573 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) (+.f64 i alpha)))) (.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)))
	30.3%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) #s(approx (/ (* (+ beta i) i) (+ (* 2 i) beta)) (fma.f64 #s(literal 1/4 binary64) beta (.f64 #s(literal 1/2 binary64) i)))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	26.2%	(/.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))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
	35.9%	(/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i alpha) (+.f64 i beta))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 alpha beta) i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
	9.2%	(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) i))) (/.f64 (.f64 (.f64 alpha beta) 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)))
	32.9%	(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) 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)))
	13.9%	(/.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)))
	16.7%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (- (neg alpha) i) (neg 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)))
	27.7%	(.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (fma.f64 i (-.f64 (+.f64 #s(literal 1 binary64) (.f64 i (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) (/.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))))) (+.f64 alpha beta)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) (/.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))))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (*.f64 alpha beta) (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
	26.4%	(.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (fma.f64 i (-.f64 (+.f64 #s(literal 1 binary64) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) (/.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)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (*.f64 alpha beta) (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
	40.5%	(.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
▶	13.0%	(.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))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
	30.3%	(.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))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) beta))))
	71.7%	(.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))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) #s(literal 1/4 binary64)))
▶	97.6%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	35.6%	(.f64 (+.f64 (+.f64 alpha beta) i) (.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i alpha) (+.f64 i beta))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))))
	35.4%	(.f64 #s(approx (/ ( (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) (+.f64 alpha 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))))
	12.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 i alpha) (+.f64 (+.f64 i alpha) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta)))
	29.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) beta))
	21.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
	28.5%	#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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	11.5%	#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 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta))
	22.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta))
	10.5%	#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) i) (/.f64 (*.f64 alpha i) beta)) beta))
▶	22.3%	#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 alpha i) (/.f64 (/.f64 i beta) beta)))
✓	15.3%	#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 alpha i) (/.f64 i (.f64 beta beta))))
	28.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta)))
	14.5%	#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)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 i i) (.f64 beta beta))))
▶	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 alpha i) (.f64 beta beta))))
✓	71.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
	9.5%	#s(approx (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/.f64 (.f64 (.f64 alpha beta) i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))

Compiler

Compiled 4 166 to 1 709 computations (59% saved)

simplify185.0ms (1.7%)

Memory

-0.3MiB live, 238.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (+.f64 beta alpha) i)
cost-diff	0	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
cost-diff	0	(/.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)))
cost-diff	0	(.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))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #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 (neg.f64 i) (-.f64 (neg.f64 alpha) i)))
cost-diff	0	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (neg.f64 i) (-.f64 (neg.f64 alpha) i))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
cost-diff	256	(*.f64 (neg.f64 i) (-.f64 (neg.f64 alpha) i))
cost-diff	704	(/.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))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (/.f64 i beta) beta)
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(*.f64 (+.f64 alpha i) (/.f64 (/.f64 i 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 (/.f64 i beta) beta)))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(*.f64 alpha i)
cost-diff	0	#s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 alpha i) (.f64 beta beta)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 alpha i) (.f64 beta beta))))
cost-diff	0	(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))
cost-diff	0	#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta)))
cost-diff	0	(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
cost-diff	704	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	848
0	121	834
1	272	832
2	768	822
3	4236	822
4	6654	822
0	8150	808

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (2.1%)

Memory

-29.3MiB live, 217.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	0.0703125	(*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
accuracy	0.1328125	(.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))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
accuracy	59.82729699686131	#s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
accuracy	0.00390625	(*.f64 (neg.f64 i) (-.f64 (neg.f64 alpha) i))
accuracy	0.06640625	(/.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))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
accuracy	13.945880301616388	#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)))
accuracy	32.086064025571204	(/.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 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
accuracy	0.0	(+.f64 alpha i)
accuracy	0.12890625	(/.f64 (/.f64 i beta) beta)
accuracy	5.2457482876851635	(*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))
accuracy	44.71637827442716	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
accuracy	0.0	(*.f64 alpha i)
accuracy	9.172442119180813	(/.f64 (.f64 alpha i) (.f64 beta beta))
accuracy	44.71637827442716	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 alpha i) (.f64 beta beta))))
accuracy	55.3074512169675	#s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 alpha i) (.f64 beta beta)))
accuracy	0.0625	(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))
accuracy	0.06640625	(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
accuracy	0.1328125	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
accuracy	1.621836241120461	#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta)))

Samples

143.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 1 618 to 146 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-div: 62.0ms (55.1% of total)

ival-mult: 25.0ms (22.2% of total)

ival-add: 18.0ms (16% of total)

ival-sub: 5.0ms (4.4% of total)

ival-neg: 2.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series114.0ms (1%)

Memory

20.0MiB live, 139.9MiB allocated

Counts

24 → 356

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	i	@	0	((* (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (* 2 i) (- (+ alpha beta) 1)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (* (/ i (+ (* 2 i) beta)) (+ i beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* alpha 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) (/ (/ 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)))) (+ (* 2 i) (+ (+ alpha beta) 1))) (+ (* 2 i) (- (+ alpha beta) 1))) (* (neg i) (- (neg alpha) i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1))) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) i) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (/ (* alpha i) (* beta beta)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (* (/ alpha (+ alpha beta)) (/ beta (- (+ alpha beta) 1))))
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simplify333.0ms (3%)

Memory

13.0MiB live, 398.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3415	40323
0	8315	38754

Stop Event

1×	iter limit
1×	node limit

Counts

356 → 353

Calls

Call 1

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

rewrite204.0ms (1.8%)

Memory

1.5MiB live, 322.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	658
0	121	602
1	620	595
2	5548	595
0	8322	585

Stop Event

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

Counts

24 → 623

Calls

Call 1

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

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

eval252.0ms (2.3%)

Memory: -21.7MiB live, 378.4MiB allocated
Compiler: Compiled 99 645 to 5 685 computations (94.3% saved)

prune132.0ms (1.2%)

Memory

9.7MiB live, 133.8MiB allocated

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	905	21	926
Fresh	5	19	24
Picked	4	1	5
Done	0	2	2
Total	914	43	957

Accuracy

100.0%

Counts

957 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i beta) (+.f64 i alpha)))) (.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)))
	30.3%	(/.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) #s(approx (/ (* (+ beta i) i) (+ (* 2 i) beta)) (fma.f64 #s(literal 1/4 binary64) beta (.f64 #s(literal 1/2 binary64) i)))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	26.2%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
	35.9%	(/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i alpha) (+.f64 i beta))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 alpha beta) i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
	97.6%	(/.f64 (.f64 (/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
	89.9%	(/.f64 (.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)))))))
	32.9%	(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (* (+ (+ alpha beta) i) 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)))
	9.4%	(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
	22.9%	(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
	70.8%	(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* 2 i) (+ (+ alpha beta) 1))) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))
	13.9%	(/.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)))
	16.7%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (- (neg alpha) i) (neg 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)))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))))
	26.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) #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 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))
	27.7%	(.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (fma.f64 i (-.f64 (+.f64 #s(literal 1 binary64) (.f64 i (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) (/.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))))) (+.f64 alpha beta)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) (/.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))))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (*.f64 alpha beta) (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
	40.5%	(.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))))
	71.7%	(.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))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) #s(literal 1/4 binary64)))
	97.4%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 i (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (+.f64 i beta)))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	70.7%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) #s(approx (* (/ i (+ (* 2 i) beta)) (+ i beta)) (fma.f64 #s(literal 1/2 binary64) i (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 beta i))))))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	27.6%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) #s(approx (* (/ i (+ (* 2 i) beta)) (+ i beta)) (.f64 i (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i beta)))))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	12.1%	(.f64 (/.f64 #s(approx ( (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (.f64 i (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i (+.f64 alpha beta)))))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
	11.4%	(.f64 (+.f64 (+.f64 beta alpha) i) (.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 beta (+.f64 beta alpha)) (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))))
	35.6%	(.f64 (+.f64 (+.f64 alpha beta) i) (.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 i alpha) (+.f64 i beta))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))))
	30.3%	(.f64 #s(approx (/ (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/.f64 (+.f64 alpha i) beta)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	35.4%	(.f64 #s(approx (/ ( (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) (+.f64 alpha 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))))
	13.4%	(.f64 #s(approx (/ ( (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
	11.7%	(.f64 #s(approx (/ ( (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
	12.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 i alpha) (+.f64 (+.f64 i alpha) i)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta)))
	29.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) beta))
	21.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta)))
	28.5%	#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 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	11.5%	#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 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta))
	22.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta))
	10.5%	#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) i) (/.f64 (*.f64 alpha i) beta)) beta))
	78.3%	#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 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
✓	22.3%	#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 alpha i) (/.f64 (/.f64 i beta) beta)))
✓	15.3%	#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 alpha i) (/.f64 i (.f64 beta beta))))
	21.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 beta i) beta))))
	28.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta)))
	14.5%	#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)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 i i) (.f64 beta beta))))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (.f64 i (/.f64 alpha (.f64 beta beta)))))
✓	71.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
	9.5%	#s(approx (* (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (* 2 i) (- (+ alpha beta) 1)))) (/.f64 (.f64 (.f64 alpha beta) i) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))

Compiler

Compiled 8 348 to 1 745 computations (79.1% saved)

regimes120.0ms (1.1%)

Memory

-10.7MiB live, 102.4MiB allocated

Counts

82 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

41.0ms	alpha
26.0ms	i
25.0ms	(/.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)))
22.0ms	beta

Results

Accuracy	Segments	Branch
97.6%	1	`alpha`
97.6%	1	`beta`
97.6%	1	`i`
97.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes89.0ms (0.8%)

Memory

3.0MiB live, 85.9MiB allocated

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

30.0ms	i
24.0ms	alpha
16.0ms	beta
14.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.6%	1	`alpha`
97.6%	1	`beta`
97.6%	1	`i`
97.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes76.0ms (0.7%)

Memory

22.5MiB live, 58.2MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

26.0ms	i
16.0ms	alpha
16.0ms	beta
13.0ms	(/.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
83.8%	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)))`
85.8%	2	`beta`
78.3%	1	`alpha`
86.2%	3	`i`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes39.0ms (0.4%)

Memory

-27.8MiB live, 10.9MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

36.0ms

beta

Results

Accuracy	Segments	Branch
85.1%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

beta

Results

Accuracy	Segments	Branch
85.0%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

-30.4MiB live, 12.9MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

22.0ms

beta

Results

Accuracy	Segments	Branch
84.9%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	i
5.0ms	beta

Results

Accuracy	Segments	Branch
78.2%	4	`i`
83.9%	2	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (.f64 i (/.f64 alpha (.f64 beta beta)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 alpha i) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) 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 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta)))

Calls

4 calls:

3.0ms	alpha
3.0ms	i
3.0ms	beta
2.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
74.3%	2	`i`
71.4%	1	`alpha`
71.4%	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)))`
75.0%	2	`beta`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes10.0ms (0.1%)

Memory

-26.0MiB live, 10.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	i
2.0ms	beta

Results

Accuracy	Segments	Branch
74.3%	2	`i`
74.2%	2	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.3%	2	`i`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	beta
2.0ms	i

Results

Accuracy	Segments	Branch
74.2%	2	`beta`
74.2%	2	`i`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB 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

3 calls:

1.0ms	beta
1.0ms	i
1.0ms	alpha

Results

Accuracy	Segments	Branch
71.4%	1	`alpha`
71.4%	1	`i`
71.4%	1	`beta`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.444494883682455e+180	2.485701727156293e+180

Compiler

Compiled 56 to 23 computations (58.9% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.444494883682455e+180	2.485701727156293e+180

Compiler

Compiled 56 to 23 computations (58.9% saved)

bsearch41.0ms (0.4%)

Memory

-9.0MiB live, 26.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	2.9219785283328547e+184	1.3485785526117845e+185

Samples

35.0ms

96×

valid

Compiler

Compiled 764 to 281 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (48.9% of total)

ival-add: 2.0ms (32.6% of total)

ival-div: 1.0ms (16.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9219785283328547e+184	1.3485785526117845e+185

Compiler

Compiled 764 to 281 computations (63.2% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9219785283328547e+184	1.3485785526117845e+185

Compiler

Compiled 788 to 287 computations (63.6% saved)

bsearch27.0ms (0.2%)

Memory

-1.9MiB live, 34.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.3826932330190469e+234	5.620340080978862e+240

Samples

13.0ms

144×

valid

Compiler

Compiled 1 154 to 428 computations (62.9% saved)

Precisions

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

ival-mult: 4.0ms (44.3% of total)

ival-add: 3.0ms (33.3% of total)

ival-div: 2.0ms (22.2% of total)

ival-sub: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5216965434789452e+21	2.2609190461595917e+23

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 (43.6% of total)

ival-add: 2.0ms (29.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5216965434789452e+21	2.2609190461595917e+23

Compiler

Compiled 882 to 324 computations (63.3% saved)

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3826932330190469e+234	5.620340080978862e+240

Compiler

Compiled 1 190 to 446 computations (62.5% saved)

simplify105.0ms (0.9%)

Memory

-35.1MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	1286
1	202	1284
2	552	1284
3	2783	1284
4	5589	1081

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 2449999999999999815348990096183926869277600902890945152257784190799527485702073267852238808831969341712005783091344725933694243318591574241879095537941869176602485641514186207920128 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 (+.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 2449999999999999815348990096183926869277600902890945152257784190799527485702073267852238808831969341712005783091344725933694243318591574241879095537941869176602485641514186207920128 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 #s(approx (/ (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/.f64 (+.f64 alpha i) beta)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
(if (<=.f64 beta #s(literal 32500000000000000092346420448804013509292623383326131875582287949405160455771996125300404477017639932279926655759714602157389073311701338453481006332361095916926888072153468572211871744 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))))
(if (<=.f64 beta #s(literal 32500000000000000092346420448804013509292623383326131875582287949405160455771996125300404477017639932279926655759714602157389073311701338453481006332361095916926888072153468572211871744 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 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 32500000000000000092346420448804013509292623383326131875582287949405160455771996125300404477017639932279926655759714602157389073311701338453481006332361095916926888072153468572211871744 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 (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 20000000000000001063320393253192980712067789150490201946713945974087783044584331189190008582698609818051443363625024187925900890276107307746338432618040807753398340794668447026899501367525666462470927567058296134422473861140718276313088 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 (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 i #s(literal 10499999999999998951424 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 10499999999999998951424 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 beta #s(literal 20000000000000001063320393253192980712067789150490201946713945974087783044584331189190008582698609818051443363625024187925900890276107307746338432618040807753398340794668447026899501367525666462470927567058296134422473861140718276313088 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (.f64 i (/.f64 alpha (.f64 beta beta))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(/.f64 (.f64 (/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (/ (+ ( beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 2449999999999999815348990096183926869277600902890945152257784190799527485702073267852238808831969341712005783091344725933694243318591574241879095537941869176602485641514186207920128 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 (+.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 2449999999999999815348990096183926869277600902890945152257784190799527485702073267852238808831969341712005783091344725933694243318591574241879095537941869176602485641514186207920128 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 (+.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 #s(approx (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* 2 i) (+ beta alpha))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 2449999999999999815348990096183926869277600902890945152257784190799527485702073267852238808831969341712005783091344725933694243318591574241879095537941869176602485641514186207920128 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 #s(approx (/ (/ (+ ( (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* 2 i) (+ (+ alpha beta) 1))) (/.f64 (+.f64 alpha i) beta)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
(if (<=.f64 beta #s(literal 32500000000000000092346420448804013509292623383326131875582287949405160455771996125300404477017639932279926655759714602157389073311701338453481006332361095916926888072153468572211871744 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))))
(if (<=.f64 beta #s(literal 32500000000000000092346420448804013509292623383326131875582287949405160455771996125300404477017639932279926655759714602157389073311701338453481006332361095916926888072153468572211871744 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 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 32500000000000000092346420448804013509292623383326131875582287949405160455771996125300404477017639932279926655759714602157389073311701338453481006332361095916926888072153468572211871744 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 (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 20000000000000001063320393253192980712067789150490201946713945974087783044584331189190008582698609818051443363625024187925900890276107307746338432618040807753398340794668447026899501367525666462470927567058296134422473861140718276313088 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 (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 i #s(literal 10499999999999998951424 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 10499999999999998951424 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 beta #s(literal 20000000000000001063320393253192980712067789150490201946713945974087783044584331189190008582698609818051443363625024187925900890276107307746338432618040807753398340794668447026899501367525666462470927567058296134422473861140718276313088 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (.f64 i (/.f64 alpha (.f64 beta beta))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness1.4s (12.2%)

Memory

12.8MiB live, 1 004.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3021	31904
0	8090	30690
0	56	602
0	92	503
1	428	493
2	4131	493
0	9882	489
0	1089	11307
1	3841	10573
0	8264	9792
0	77	658
0	121	602
1	620	595
2	5548	595
0	8322	585
0	3415	40323
0	8315	38754
0	66	641
0	108	563
1	519	558
2	4537	558
0	8268	548
0	17	157
0	29	127
1	146	127
2	1503	127
0	8191	117
0	1693	14637
1	5815	14322
0	8529	13228

Stop Event

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

Compiler

Compiled 2 209 to 554 computations (74.9% saved)

preprocess91.0ms (0.8%)

Memory: -12.4MiB live, 177.7MiB allocated
Compiler: Compiled 3 052 to 472 computations (84.5% saved)

end0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

start0.0ms (0%)

analyze17.0ms (0.2%)

sample1.9s (16.8%)

explain372.0ms (3.3%)

preprocess373.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify345.0ms (3.1%)

localize64.0ms (0.6%)

series75.0ms (0.7%)

simplify270.0ms (2.4%)

rewrite435.0ms (3.9%)

eval379.0ms (3.4%)

prune38.0ms (0.3%)

simplify155.0ms (1.4%)

localize123.0ms (1.1%)

series127.0ms (1.1%)

simplify250.0ms (2.2%)

rewrite330.0ms (3%)

eval586.0ms (5.3%)

prune94.0ms (0.8%)

simplify134.0ms (1.2%)

localize168.0ms (1.5%)

series162.0ms (1.5%)

simplify384.0ms (3.4%)

rewrite492.0ms (4.4%)

eval333.0ms (3%)

prune62.0ms (0.6%)

simplify185.0ms (1.7%)

localize230.0ms (2.1%)

series114.0ms (1%)

simplify333.0ms (3%)

rewrite204.0ms (1.8%)

eval252.0ms (2.3%)

prune132.0ms (1.2%)

regimes120.0ms (1.1%)

regimes89.0ms (0.8%)

regimes76.0ms (0.7%)

regimes39.0ms (0.4%)

regimes15.0ms (0.1%)

regimes24.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch41.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch27.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

simplify105.0ms (0.9%)

soundness1.4s (12.2%)

preprocess91.0ms (0.8%)

end0.0ms (0%)

Profiling