Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample2.8s (19.3%)

Memory

37.7MiB live, 2 192.7MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-add: 491.0ms (34.9% of total)

ival->: 367.0ms (26.1% of total)

ival-mult: 294.0ms (20.9% of total)

ival-div: 167.0ms (11.9% of total)

ival-sub: 58.0ms (4.1% of total)

ival-and: 16.0ms (1.1% of total)

exact: 13.0ms (0.9% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain320.0ms (2.2%)

Memory

-16.3MiB live, 511.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
219	-	-	`(/.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))))`
148	-	-	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`i`
0	-	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	-	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	-	-	`beta`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`
0	-	-	`(+.f64 (+.f64 alpha beta) i)`
0	-	-	`alpha`
0	-	-	`(*.f64 beta alpha)`
0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	-	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
0	-	-	`#s(literal 2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	166	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	149
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	o/o	125	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	149
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
↳	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	overflow	125
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/n	53	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	149
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
`/.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	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166

Confusion

	Predicted +	Predicted -
+	219	0
-	0	37

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	219	0	0
-	0	0	37

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	37
1	71
2	148

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 426 to 55 computations (87.1% saved)

Precisions

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

ival-mult: 14.0ms (44.4% of total)

ival-add: 9.0ms (28.6% of total)

ival-div: 6.0ms (19% of total)

ival-sub: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess271.0ms (1.9%)

Memory

11.4MiB live, 629.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 56 to 17 computations (69.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.0%	(/.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)))

Status

Accuracy

Program

▶

15.0%

(/.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)))

Compiler

Compiled 56 to 17 computations (69.6% saved)

simplify442.0ms (3.1%)

Memory

28.6MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (0.8%)

Memory

-5.1MiB live, 40.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 i (+.f64 (+.f64 alpha beta) i))
accuracy	0.0703125	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	35.55203199013694	(/.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	47.05394089110571	(/.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

92.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 73.0ms (89.2% of total)

ival-add: 4.0ms (4.9% of total)

ival-div: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series168.0ms (1.2%)

Memory

-31.1MiB live, 67.3MiB allocated

Counts

7 → 252

Calls

Call 1

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

Calls

63 calls:

Time	Variable		Point	Expression
96.0ms	alpha	@	0	(+ (* beta alpha) (* i (+ (+ alpha beta) i)))
4.0ms	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))
3.0ms	i	@	inf	(/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
3.0ms	i	@	0	(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
2.0ms	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))

simplify1.1s (7.8%)

Memory

-46.0MiB live, 418.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1076	12354
1	3790	11572
0	8143	10751

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

rewrite442.0ms (3.1%)

Memory

-56.3MiB live, 276.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	149
0	29	125
1	146	125
2	1503	125
0	8201	116

Stop Event

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

Counts

7 → 432

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (neg.f64 (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))))
(neg.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) (neg.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (neg.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))))
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(.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) i) (+.f64 i (+.f64 alpha beta)))
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(+.f64 (.f64 i i) (.f64 i (+.f64 alpha beta)))
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(fma.f64 i i (*.f64 i (+.f64 alpha beta)))
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(fma.f64 alpha i (*.f64 (+.f64 i beta) i))
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(fma.f64 (.f64 i (.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) (*.f64 i i))
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(fma.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) i) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) (*.f64 i i))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) i) (.f64 i (.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) i) (.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i)) i)))
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(/.f64 (-.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (.f64 (.f64 i i) (.f64 i i))) (-.f64 (.f64 i (+.f64 alpha beta)) (.f64 i i)))
(/.f64 (.f64 i (fma.f64 i (.f64 i i) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (fma.f64 i (-.f64 i (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))
(/.f64 (.f64 i (.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i))) (-.f64 (+.f64 alpha beta) i))
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(/.f64 (.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i)) i) (-.f64 (+.f64 alpha beta) i))
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(/.f64 (neg.f64 (.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i)) i)) (neg.f64 (-.f64 (+.f64 alpha beta) i)))
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(*.f64 i (+.f64 i (+.f64 alpha beta)))
(*.f64 (+.f64 i (+.f64 alpha beta)) i)
(.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i) (-.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 i (+.f64 alpha beta)) (.f64 i i))))))
(.f64 (-.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (.f64 (.f64 i i) (.f64 i i))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 i (+.f64 alpha beta)) (*.f64 i i))))
(.f64 (.f64 i (fma.f64 i (.f64 i i) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))
(.f64 (.f64 i (*.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) i)))
(.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))
(.f64 (.f64 (*.f64 (+.f64 i (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) i)) i) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) i)))

eval175.0ms (1.2%)

Memory: 21.4MiB live, 245.2MiB allocated
Compiler: Compiled 76 272 to 3 564 computations (95.3% saved)

prune226.0ms (1.6%)

Memory

3.7MiB live, 464.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 027	15	1 042
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 028	15	1 043

Accuracy

88.5%

Counts

1 043 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.0%	(/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (.f64 (.f64 beta beta) (.f64 i (+.f64 (+.f64 alpha i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta))))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	32.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	36.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	15.2%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (fma.f64 i (+.f64 (fma.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (fma.f64 i (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 #s(literal -4 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (+.f64 alpha beta))))) (+.f64 alpha beta))))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (+.f64 alpha beta)))))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (.f64 alpha (/.f64 beta (+.f64 alpha beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	19.4%	(/.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))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	39.3%	(.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
▶	15.0%	(.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	43.2%	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	39.1%	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	37.3%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	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 (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (*.f64 beta beta)))
▶	12.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
▶	16.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
	64.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta))) i) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64))))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 20 binary64) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 4 binary64))) i) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64))) i))))) i)))
▶	71.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 664 to 536 computations (67.8% saved)

simplify452.0ms (3.1%)

Memory

-21.6MiB live, 421.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

9 816×	`lower-fma.f32`
9 806×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 622×	`lower-*.f64`
3 694×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	706
0	84	686
1	257	686
2	972	677
3	5175	646
4	6454	593
0	8001	593

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

localize154.0ms (1.1%)

Memory

62.2MiB live, 281.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
accuracy	0.16015625	(.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	7.879734750253886	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	46.58419433255013	(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
accuracy	0.01953125	(*.f64 i (+.f64 i (+.f64 alpha beta)))
accuracy	0.5887329102276251	(/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
accuracy	39.07563949774649	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
accuracy	40.20049196025079	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	0.05859375	(.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
accuracy	0.0625	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
accuracy	1.3854148126889014	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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 i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
accuracy	54.42778851001291	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
accuracy	0	(*.f64 beta beta)
accuracy	0.00390625	(*.f64 i (+.f64 alpha i))
accuracy	18.413617199779484	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
accuracy	44.56187668087048	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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 alpha i)) (.f64 beta beta)))
accuracy	18.16748075048343	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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

91.0ms

256×

valid

Compiler

Compiled 722 to 51 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 34.0ms (51.7% of total)

ival-div: 17.0ms (25.8% of total)

ival-add: 13.0ms (19.8% of total)

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

exact: 1.0ms (1.5% of total)

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

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

series184.0ms (1.3%)

Memory

-30.7MiB live, 299.4MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
26.0ms	beta	@	-inf	(/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))))
15.0ms	beta	@	0	(/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))
7.0ms	i	@	inf	(/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))))
7.0ms	alpha	@	inf	(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
6.0ms	alpha	@	0	(/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta)))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))

simplify481.0ms (3.3%)

Memory

13.5MiB live, 770.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 722×	`lower-*.f64`
6 722×	`lower-*.f32`
6 126×	`lower-fma.f64`
6 126×	`lower-fma.f32`
4 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2357	51839
0	8344	47236

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 606

Calls

Call 1

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

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

rewrite411.0ms (2.9%)

Memory

33.3MiB live, 518.6MiB allocated

Rules

6 062×	`lower-*.f32`
6 034×	`lower-*.f64`
4 660×	`lower-/.f32`
4 646×	`lower-/.f64`
4 462×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	543
0	84	439
1	473	430
2	4388	428
0	9754	428

Stop Event

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

Counts

20 → 697

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

eval504.0ms (3.5%)

Memory: -17.7MiB live, 294.6MiB allocated
Compiler: Compiled 104 093 to 4 366 computations (95.8% saved)

prune327.0ms (2.3%)

Memory

-16.8MiB live, 372.5MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 356	19	1 375
Fresh	9	1	10
Picked	3	2	5
Done	0	0	0
Total	1 368	22	1 390

Accuracy

98.6%

Counts

1 390 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.4%	(/.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))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	10.5%	(.f64 (/.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	29.6%	(.f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (+.f64 i (+.f64 alpha beta))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (/.f64 (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	32.4%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 #s(approx (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta)))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	25.0%	(.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	25.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	34.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	30.2%	#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 i beta) (+.f64 i alpha)) beta))
✓	12.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	16.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
	24.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (*.f64 i (+.f64 i alpha)) beta))))
▶	78.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
	17.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
▶	30.2%	#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 i alpha) beta) (/.f64 i beta)))
	38.6%	#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 i (+.f64 i beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i beta)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))
▶	25.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)))
	17.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 i alpha) (.f64 i (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))))
▶	13.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))))
	28.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
	64.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))))
▶	11.1%	#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 (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
✓	71.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 953 to 470 computations (50.7% saved)

simplify278.0ms (1.9%)

Memory

-7.6MiB live, 316.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta))
cost-diff	320	(fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)))
cost-diff	0	(*.f64 i (+.f64 i alpha))
cost-diff	0	(/.f64 (*.f64 i (+.f64 i alpha)) 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 (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)))
cost-diff	704	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
cost-diff	0	(+.f64 i alpha)
cost-diff	0	(/.f64 (+.f64 i alpha) 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	384	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
cost-diff	0	(/.f64 i (*.f64 beta beta))
cost-diff	0	(.f64 alpha (/.f64 i (.f64 beta beta)))
cost-diff	0	#s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
cost-diff	320	(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64))
cost-diff	2688	(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))

Rules

8 214×	`lower-fma.f32`
8 210×	`lower-fma.f64`
5 510×	`lower-*.f32`
5 490×	`lower-*.f64`
3 394×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	657
0	94	654
1	249	645
2	892	587
3	4137	585
4	6826	585
0	8427	548

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
(*.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
i
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
#s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))
(.f64 alpha (/.f64 i (.f64 beta beta)))
alpha
(/.f64 i (*.f64 beta beta))
i
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 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)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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 (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)))
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (*.f64 i (+.f64 i alpha)) beta)
(*.f64 i (+.f64 i alpha))
i
(+.f64 i alpha)
alpha
beta
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))))
#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)))
(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
(fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)))
i
(neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta))
(/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)
(.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64))
(.f64 i (.f64 i i))
(*.f64 i i)
#s(literal 6 binary64)
beta
(*.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 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
#s(literal 1/16 binary64)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha beta) i))
(*.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
i
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
#s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))
(.f64 alpha (/.f64 i (.f64 beta beta)))
alpha
(/.f64 i (*.f64 beta beta))
i
(*.f64 beta beta)
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 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 i (+.f64 i alpha)) (.f64 beta beta)))
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/.f64 (+.f64 i alpha) beta)
(+.f64 i alpha)
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 (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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 i alpha)) (.f64 beta beta)))
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/.f64 (*.f64 i (+.f64 i alpha)) beta)
(*.f64 i (+.f64 i alpha))
i
(+.f64 i alpha)
alpha
beta
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) 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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 i (fma.f64 (.f64 i i) (/.f64 #s(literal -6 binary64) beta) i)) (*.f64 beta beta))))
#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)))
#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 i (fma.f64 (.f64 i i) (/.f64 #s(literal -6 binary64) beta) i)) (*.f64 beta beta)))
(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
(/.f64 (.f64 i (fma.f64 (.f64 i i) (/.f64 #s(literal -6 binary64) beta) i)) (*.f64 beta beta))
(fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)))
(.f64 i (fma.f64 (.f64 i i) (/.f64 #s(literal -6 binary64) beta) i))
i
(neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta))
(/.f64 (.f64 i (.f64 (*.f64 i i) #s(literal -6 binary64))) beta)
(/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)
(/.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 6 binary64))) beta)
(.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64))
(.f64 i (.f64 (*.f64 i i) #s(literal 6 binary64)))
(.f64 i (.f64 i i))
(*.f64 i i)
#s(literal 6 binary64)
beta
(*.f64 beta beta)

localize234.0ms (1.6%)

Memory

-21.1MiB live, 325.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.003884230844482	(fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)))
accuracy	6.406030203430937	(/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)
accuracy	15.968437822181237	(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
accuracy	44.96283034671678	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)))
accuracy	0.00390625	(*.f64 i (+.f64 i alpha))
accuracy	4.102448711220619	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
accuracy	9.002381024850438	(/.f64 (*.f64 i (+.f64 i alpha)) beta)
accuracy	44.56187668087048	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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 (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)))
accuracy	0	(/.f64 i beta)
accuracy	0	(+.f64 i alpha)
accuracy	0.217128759768442	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
accuracy	44.56187668087048	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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	7.672752546158126	(/.f64 i (*.f64 beta beta))
accuracy	8.533970182122944	(.f64 alpha (/.f64 i (.f64 beta beta)))
accuracy	44.56187668087048	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
accuracy	55.71113155754944	#s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))
accuracy	0.0078125	(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)
accuracy	0.0078125	(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
accuracy	15.756019499417109	(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
accuracy	18.16748075048343	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))

Samples

124.0ms	186×	0	valid
49.0ms	70×	1	valid

Compiler

Compiled 522 to 60 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 68.0ms (46.7% of total)

ival-sub: 25.0ms (17.2% of total)

ival-add: 21.0ms (14.4% of total)

ival-div: 20.0ms (13.7% of total)

adjust: 10.0ms (6.9% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series105.0ms (0.7%)

Memory

6.6MiB live, 235.5MiB allocated

Counts

24 → 756

Calls

Call 1

Inputs
#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (patch (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))) (patch #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))) #<representation binary64>) () ())
#s(alt (.f64 alpha (/.f64 i (.f64 beta beta))) (patch (.f64 alpha (/.f64 i (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 i (.f64 beta beta)) (patch (/.f64 i (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) (patch (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 i alpha) beta) (patch (/.f64 (+.f64 i alpha) beta) #<representation binary64>) () ())
#s(alt (+.f64 i alpha) (patch (+.f64 i alpha) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)) (patch (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 i (+.f64 i alpha)) beta) (patch (/.f64 (.f64 i (+.f64 i alpha)) beta) #<representation binary64>) () ())
#s(alt (.f64 i (+.f64 i alpha)) (patch (.f64 i (+.f64 i alpha)) #<representation binary64>) () ())
#s(alt (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (patch (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (patch (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))) (patch #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (patch (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) #<representation binary64>) () ())
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())

Outputs
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf beta) (#s(alt (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow i 3) (- (* 6 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i))))) (taylor -inf i) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (* -6 (/ (pow i 3) (pow beta 3))) (taylor 0 beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (pow i 3)) (* beta (pow i 2))) (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (pow i 3)) (* beta (pow i 2))) (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (pow i 3)) (* beta (pow i 2))) (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor 0 beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (pow i 3) beta)) (taylor -inf beta) (#s(alt (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (patch (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #<representation binary64>) () ())) ())

Calls

189 calls:

Time	Variable		Expression
19.0ms	i	@	(+ (* i i) (neg (/ (* (* i (* i i)) 6) beta)))
3.0ms	beta	@	(/ i (* beta beta))
1.0ms	alpha	@	(* alpha (/ i (* beta beta)))
1.0ms	beta	@	(+ (* i i) (neg (/ (* (* i (* i i)) 6) beta)))
1.0ms	i	@	(* alpha (/ i (* beta beta)))

simplify558.0ms (3.9%)

Memory

11.6MiB live, 678.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 692×	`lower-*.f64`
7 692×	`lower-*.f32`
6 580×	`lower-fma.f64`
6 580×	`lower-fma.f32`
5 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	946	37419
1	3259	36905
0	8663	33859

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 750

Calls

Call 1

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

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

rewrite432.0ms (3%)

Memory

21.2MiB live, 553.4MiB allocated

Rules

7 548×	`lower-*.f32`
7 528×	`lower-*.f64`
4 880×	`lower-/.f32`
4 862×	`lower-/.f64`
3 272×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	598
0	94	502
1	467	488
2	4340	474
0	11003	454

Stop Event

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

Counts

24 → 680

Calls

Call 1

Inputs
(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
#s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta))))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(/.f64 i (*.f64 beta beta))
(*.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 alpha) beta) (/.f64 i beta)))
(/.f64 (+.f64 i alpha) beta)
(+.f64 i alpha)
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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 (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 (*.f64 i (+.f64 i alpha)) beta)
(*.f64 i (+.f64 i alpha))
(fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)))
(neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))))
#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta)))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)
(/.f64 i beta)
(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
(/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)

Outputs
(+.f64 #s(literal 1/16 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))
(+.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(+.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
(-.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
(-.f64 (/.f64 (.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))) (fma.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal 1/512 binary64) (.f64 i (.f64 i i)))) (fma.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))))))
(-.f64 (/.f64 (.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64))) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (*.f64 i i)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal 1/8 binary64) i)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) i)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))
(fma.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 i)) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal 1/512 binary64) (.f64 i (.f64 i i))) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i)) (-.f64 #s(literal 1/256 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) #s(literal 1/16 binary64)) i)))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i)) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal -1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))
(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (+.f64 alpha beta) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 #s(literal 1/8 binary64) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/16 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))
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(.f64 (.f64 i (*.f64 i i)) (neg.f64 (/.f64 #s(literal 6 binary64) beta)))
(.f64 (.f64 i (*.f64 i i)) (/.f64 #s(literal 6 binary64) (neg.f64 beta)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 i (*.f64 i i)) (neg.f64 beta)))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 beta)))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) beta)))
(.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) beta))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) (/.f64 #s(literal 6 binary64) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (.f64 beta beta))))
#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (.f64 beta beta)))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))
(/.f64 #s(literal 1/16 binary64) (/.f64 i (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (neg.f64 i))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) #s(literal 1 binary64)) i)
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 beta (.f64 beta beta))) #s(literal 1/8 binary64)) (.f64 (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha)) i))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 1/8 binary64)) (*.f64 (-.f64 alpha beta) i))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 i))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 1/16 binary64)) (neg.f64 i))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1/8 binary64) i)) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (/.f64 #s(literal 1/8 binary64) i)) (-.f64 alpha beta))
(pow.f64 (/.f64 i (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)))
(*.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))
(.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
(.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/8 binary64) i) (+.f64 alpha beta))
(exp.f64 (*.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))
(neg.f64 (/.f64 i (neg.f64 beta)))
(neg.f64 (/.f64 (neg.f64 i) beta))
(/.f64 i beta)
(/.f64 #s(literal 1 binary64) (/.f64 beta i))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta i) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta i)))
(/.f64 (neg.f64 i) (neg.f64 beta))
(/.f64 (*.f64 i #s(literal 1 binary64)) beta)
(/.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 beta)))
(/.f64 (*.f64 i #s(literal -1 binary64)) (neg.f64 beta))
(pow.f64 (/.f64 beta i) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 beta i) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 i (/.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal 1 binary64) (/.f64 i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) i)
(*.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)))
(*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (neg.f64 beta)))
(.f64 (.f64 i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta) (.f64 beta beta)))
(neg.f64 (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (neg.f64 (.f64 beta beta))))
(neg.f64 (/.f64 (fma.f64 i (.f64 (.f64 i i) (/.f64 #s(literal 6 binary64) beta)) (neg.f64 (.f64 i i))) (.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta)) beta)))
(/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (.f64 beta beta))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)))))
(/.f64 (fma.f64 i (.f64 (.f64 i i) (/.f64 #s(literal 6 binary64) beta)) (neg.f64 (.f64 i i))) (neg.f64 (.f64 beta beta)))
(/.f64 (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -216 binary64)) (.f64 beta (.f64 beta beta)))) (.f64 (.f64 beta beta) (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i))))))
(/.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64))) (.f64 beta beta))) (.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))))
(/.f64 (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta)) beta) beta)
(/.f64 (.f64 (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -216 binary64)) (.f64 beta (.f64 beta beta)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) (.f64 beta beta)))
(/.f64 (.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64))) (.f64 beta beta))) #s(literal 1 binary64)) (.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (*.f64 beta beta)))
(/.f64 (neg.f64 (fma.f64 i (.f64 (.f64 i i) (/.f64 #s(literal 6 binary64) beta)) (neg.f64 (.f64 i i)))) (neg.f64 (neg.f64 (.f64 beta beta))))
(/.f64 (neg.f64 (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta)) beta)) (neg.f64 beta))
(/.f64 (.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) #s(literal 1 binary64)) (*.f64 beta beta))
(/.f64 (.f64 (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -216 binary64)) (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i)))))
(/.f64 (.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64))) (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)))
(/.f64 (-.f64 (.f64 (.f64 i i) (.f64 beta beta)) (.f64 (.f64 beta beta) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 (.f64 beta beta) (*.f64 beta beta)))
(pow.f64 (/.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 beta (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta)) beta)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (*.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) beta))
(.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(.f64 (fma.f64 i (.f64 (.f64 i i) (/.f64 #s(literal 6 binary64) beta)) (neg.f64 (.f64 i i))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 beta beta))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i i (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (pow.f64 (/.f64 (.f64 beta beta) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -216 binary64)) (.f64 beta (.f64 beta beta))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i))))))
(.f64 (pow.f64 (/.f64 (.f64 beta beta) (-.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64))) (.f64 beta beta)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))))
(exp.f64 (.f64 (log.f64 (/.f64 beta (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) beta)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)))))
(/.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64)) (neg.f64 beta))
(/.f64 (neg.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal -6 binary64))) (neg.f64 (neg.f64 beta)))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) #s(literal 1 binary64)) beta)
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 beta))
(pow.f64 (/.f64 beta (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 beta (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 i (.f64 (*.f64 i i) (/.f64 #s(literal 6 binary64) beta)))
(.f64 i (.f64 (.f64 (.f64 i i) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) beta)))
(.f64 i (/.f64 (.f64 (*.f64 i i) #s(literal 6 binary64)) beta))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))
(.f64 (/.f64 #s(literal 1 binary64) beta) (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 i i) (*.f64 i (/.f64 #s(literal 6 binary64) beta)))
(.f64 (.f64 i (*.f64 i i)) (/.f64 #s(literal 6 binary64) beta))
(.f64 #s(literal 6 binary64) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1 binary64) beta)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 i (*.f64 i i)) beta))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) beta))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 beta)))
(.f64 (/.f64 #s(literal 6 binary64) beta) (.f64 i (*.f64 i i)))
(.f64 (.f64 (.f64 (.f64 i (*.f64 i i)) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))

eval212.0ms (1.5%)

Memory: -1.4MiB live, 400.7MiB allocated
Compiler: Compiled 66 737 to 2 793 computations (95.8% saved)

prune335.0ms (2.3%)

Memory

-11.9MiB live, 544.1MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 460	14	1 474
Fresh	5	10	15
Picked	4	1	5
Done	1	1	2
Total	1 470	26	1 496

Accuracy

98.6%

Counts

1 496 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.4%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 #s(approx (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta)))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	25.0%	(.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	25.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	34.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	30.2%	#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 i beta) (+.f64 i alpha)) beta))
	22.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i #s(literal 1 binary64)) (.f64 beta (/.f64 beta (+.f64 alpha i)))))
▶	16.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
	24.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (.f64 i (+.f64 alpha i))) beta)))
▶	78.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
	17.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
	30.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
	28.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	38.6%	#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 i (+.f64 i beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i beta)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))
	23.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 #s(approx ( i (+ i alpha)) (*.f64 i i)) beta) (/.f64 #s(literal 1 binary64) beta)))
	16.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 (pow.f64 (/.f64 beta (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha i) (.f64 i i)))) (/.f64 i beta)))
	30.2%	#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 (+.f64 alpha i) beta) i) (/.f64 #s(literal 1 binary64) beta)))
	28.3%	#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 (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta)))
	12.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	13.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (fma.f64 i i (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64)) beta)) (.f64 beta beta))))
▶	28.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
▶	15.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta))))
▶	64.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))))
	7.1%	#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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (* beta beta)) (/.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64) (.f64 beta (.f64 i i))) (.f64 beta (.f64 beta beta))))))
	15.1%	#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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (* beta beta)) (.f64 (.f64 i i) (fma.f64 #s(literal -6 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))))))
✓	11.1%	#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 (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
✓	71.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 971 to 502 computations (48.3% saved)

simplify311.0ms (2.2%)

Memory

32.5MiB live, 353.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)))))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))))
cost-diff	128	(+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))
cost-diff	704	(fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64)))
cost-diff	0	#s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta))
cost-diff	0	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta))))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #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)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 i i)
cost-diff	0	#s(approx (* i (+ alpha i)) (*.f64 i i))
cost-diff	0	(/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
cost-diff	128	(-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))

Rules

9 592×	`lower-fma.f32`
9 580×	`lower-fma.f64`
5 282×	`lower-*.f32`
5 268×	`lower-*.f64`
3 158×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1001
0	113	990
1	302	984
2	1019	925
3	4535	919
4	6670	899
0	8180	842

Stop Event

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

Calls

Call 1

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

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

localize283.0ms (2%)

Memory

11.3MiB live, 393.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.209351343593863	(+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))
accuracy	18.088194490309768	(/.f64 (.f64 beta beta) (.f64 i i))
accuracy	18.49263030860166	(/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (*.f64 i i))
accuracy	18.701971923516705	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)))))
accuracy	0.13671875	(fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64))
accuracy	1.3854148126889014	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta))))
accuracy	15.968437822181237	(/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta))
accuracy	44.96283034671678	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta)))
accuracy	0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
accuracy	1.3854148126889014	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
accuracy	18.113501513395516	#s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	30.27652640552969	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy	0	(*.f64 beta beta)
accuracy	1.6599647002452653	#s(approx (* i (+ alpha i)) (*.f64 i i))
accuracy	18.413617199779484	(/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta))
accuracy	44.56187668087048	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
accuracy	0.0078125	(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)
accuracy	0.13795445608099843	#s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))
accuracy	15.756019499417109	(-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
accuracy	18.16748075048343	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))

Samples

126.0ms	186×	0	valid
77.0ms	70×	1	valid

Compiler

Compiled 676 to 76 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 45.0ms (35.5% of total)

adjust: 32.0ms (25.3% of total)

ival-add: 22.0ms (17.4% of total)

ival-div: 22.0ms (17.4% of total)

ival-sub: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series98.0ms (0.7%)

Memory

1.9MiB live, 139.1MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (patch #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)) (patch (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt #s(approx (* i (+ alpha i)) (.f64 i i)) (patch #s(approx ( i (+ alpha i)) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) (patch #s(approx (/ ( (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (patch (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/4 binary64) (.f64 i i)) (patch (.f64 #s(literal 1/4 binary64) (.f64 i i)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (.f64 beta beta)))) (patch #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (.f64 beta beta))) (patch #s(approx (/ ( (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (.f64 beta beta)) (patch (/.f64 #s(approx (+ ( i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (*.f64 beta beta)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) (patch #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (patch (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)))) (patch (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)))))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))) (patch #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (patch (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) #<representation binary64>) () ())
#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 i beta) #s(literal -6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())

Outputs
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf alpha) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf beta) (#s(alt (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) (patch (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)) #<representation binary64>) () ())) ())
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#s(alt (* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2)))))) (taylor -inf beta) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) #s(literal 20 binary64))) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ (pow beta 2) (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 beta beta) (.f64 i i)) (patch (/.f64 (.f64 beta beta) (.f64 i i)) #<representation binary64>) () ())) ())

Calls

162 calls:

Time	Variable		Point	Expression
20.0ms	i	@	0	(- (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (/ (* (+ alpha beta) 1/8) i))
1.0ms	i	@	0	(+ (+ (* 1/16 (/ (* beta beta) (* i i))) 1/16) (* -1/256 (/ (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* i i))))
1.0ms	beta	@	inf	(+ (+ (* 1/16 (/ (* beta beta) (* i i))) 1/16) (* -1/256 (/ (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* i i))))
1.0ms	beta	@	0	(+ (+ (* 1/16 (/ (* beta beta) (* i i))) 1/16) (* -1/256 (/ (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* i i))))
0.0ms	i	@	inf	(+ (+ (* 1/16 (/ (* beta beta) (* i i))) 1/16) (* -1/256 (/ (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* i i))))

simplify511.0ms (3.5%)

Memory

10.8MiB live, 669.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 492×	`lower-*.f64`
7 492×	`lower-*.f32`
6 556×	`lower-fma.f64`
6 556×	`lower-fma.f32`
5 150×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	968	40522
1	3247	39903
0	8538	36402

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* i (+ alpha i)) (pow beta 2))
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1/16
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1/16
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (* alpha i) (pow beta 2))
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(* alpha i)
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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1/16
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1/16
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (pow i 2) (- (pow beta 2) 1))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1))))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ (* (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (* 1/2 (/ i (pow (- (* 4 (pow i 2)) 1) 2))))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(/ (pow i 2) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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1/16
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1/16
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (pow i 2) (- (pow beta 2) 1))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1))))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ (* (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (* 1/2 (/ i (pow (- (* 4 (pow i 2)) 1) 2))))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(/ (pow i 2) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (* -6 (/ i (pow beta 3))) (/ 1 (pow beta 2))))
(* (pow i 2) (+ (* -6 (/ i (pow beta 3))) (/ 1 (pow beta 2))))
(* (pow i 2) (+ (* -6 (/ i (pow beta 3))) (/ 1 (pow beta 2))))
(* -6 (/ (pow i 3) (pow beta 3)))
(* (pow i 3) (- (/ 1 (* (pow beta 2) i)) (* 6 (/ 1 (pow beta 3)))))
(* (pow i 3) (- (/ 1 (* (pow beta 2) i)) (* 6 (/ 1 (pow beta 3)))))
(* (pow i 3) (- (/ 1 (* (pow beta 2) i)) (* 6 (/ 1 (pow beta 3)))))
(* -6 (/ (pow i 3) (pow beta 3)))
(* -1 (* (pow i 3) (- (* 6 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i)))))
(* -1 (* (pow i 3) (- (* 6 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i)))))
(* -1 (* (pow i 3) (- (* 6 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i)))))
(* -6 (/ (pow i 3) (pow beta 3)))
(/ (+ (* -6 (pow i 3)) (* beta (pow i 2))) (pow beta 3))
(/ (+ (* -6 (pow i 3)) (* beta (pow i 2))) (pow beta 3))
(/ (+ (* -6 (pow i 3)) (* beta (pow i 2))) (pow beta 3))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -6 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))
(pow i 2)
(* (pow i 2) (+ 1 (* -6 (/ i beta))))
(* (pow i 2) (+ 1 (* -6 (/ i beta))))
(* (pow i 2) (+ 1 (* -6 (/ i beta))))
(* -6 (/ (pow i 3) beta))
(* (pow i 3) (- (/ 1 i) (* 6 (/ 1 beta))))
(* (pow i 3) (- (/ 1 i) (* 6 (/ 1 beta))))
(* (pow i 3) (- (/ 1 i) (* 6 (/ 1 beta))))
(* -6 (/ (pow i 3) beta))
(* -1 (* (pow i 3) (- (* 6 (/ 1 beta)) (/ 1 i))))
(* -1 (* (pow i 3) (- (* 6 (/ 1 beta)) (/ 1 i))))
(* -1 (* (pow i 3) (- (* 6 (/ 1 beta)) (/ 1 i))))
(* -6 (/ (pow i 3) beta))
(/ (- (* beta (pow i 2)) (* 6 (pow i 3))) beta)
(/ (- (* beta (pow i 2)) (* 6 (pow i 3))) beta)
(/ (- (* beta (pow i 2)) (* 6 (pow i 3))) beta)
(pow i 2)
(+ (* -6 (/ (pow i 3) beta)) (pow i 2))
(+ (* -6 (/ (pow i 3) beta)) (pow i 2))
(+ (* -6 (/ (pow i 3) beta)) (pow i 2))
(pow i 2)
(+ (* -6 (/ (pow i 3) beta)) (pow i 2))
(+ (* -6 (/ (pow i 3) beta)) (pow i 2))
(+ (* -6 (/ (pow i 3) beta)) (pow i 2))
-4
(- (* 24 (pow beta 2)) 4)
(- (* 24 (pow beta 2)) 4)
(- (* 24 (pow beta 2)) 4)
(* 24 (pow beta 2))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* 24 (pow beta 2))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(* (pow beta 2) (- 24 (* 4 (/ 1 (pow beta 2)))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (* -1/32 (/ (pow beta 2) (pow i 2))) (* 1/64 (/ 1 (pow i 2)))))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* -1/32 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(* (pow beta 2) (- (+ (/ 1/64 (* (pow beta 2) (pow i 2))) (* 1/16 (/ 1 (pow beta 2)))) (* 1/32 (/ 1 (pow i 2)))))
(/ (+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (* 1/16 (pow beta 2))) (pow i 2))
(/ (+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2)))) (pow i 2))
(/ (+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2)))) (pow i 2))
(/ (+ (* -1/256 (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2)))) (+ (* 1/16 (pow beta 2)) (* 1/16 (pow i 2)))) (pow i 2))
1/16
(+ 1/16 (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (* 1/16 (/ (pow beta 2) (pow i 2)))))
(+ 1/16 (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (* 1/16 (/ (pow beta 2) (pow i 2)))))
(+ 1/16 (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (* 1/16 (/ (pow beta 2) (pow i 2)))))
1/16
(+ 1/16 (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (* 1/16 (/ (pow beta 2) (pow i 2)))))
(+ 1/16 (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (* 1/16 (/ (pow beta 2) (pow i 2)))))
(+ 1/16 (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))) (* 1/16 (/ (pow beta 2) (pow i 2)))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (pow i 2) (- (pow beta 2) 1))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1))))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ (* (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (* 1/2 (/ i (pow (- (* 4 (pow i 2)) 1) 2))))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(/ (pow i 2) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(* 1/8 (/ beta i))
(+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))
(+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))
(+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))
(* 1/8 (/ alpha i))
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (* 1/8 (/ 1 i))))
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (* 1/8 (/ 1 i))))
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (* 1/8 (/ 1 i))))
(* 1/8 (/ alpha i))
(* -1 (* alpha (- (* -1/8 (/ beta (* alpha i))) (* 1/8 (/ 1 i)))))
(* -1 (* alpha (- (* -1/8 (/ beta (* alpha i))) (* 1/8 (/ 1 i)))))
(* -1 (* alpha (- (* -1/8 (/ beta (* alpha i))) (* 1/8 (/ 1 i)))))
(* 1/8 (/ alpha i))
(+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))
(+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))
(+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))
(* 1/8 (/ beta i))
(* beta (+ (* 1/8 (/ alpha (* beta i))) (* 1/8 (/ 1 i))))
(* beta (+ (* 1/8 (/ alpha (* beta i))) (* 1/8 (/ 1 i))))
(* beta (+ (* 1/8 (/ alpha (* beta i))) (* 1/8 (/ 1 i))))
(* 1/8 (/ beta i))
(* -1 (* beta (- (* -1/8 (/ alpha (* beta i))) (* 1/8 (/ 1 i)))))
(* -1 (* beta (- (* -1/8 (/ alpha (* beta i))) (* 1/8 (/ 1 i)))))
(* -1 (* beta (- (* -1/8 (/ alpha (* beta i))) (* 1/8 (/ 1 i)))))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(* 1/8 (/ (+ alpha beta) i))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
1
(+ 1 (* -6 (/ i beta)))
(+ 1 (* -6 (/ i beta)))
(+ 1 (* -6 (/ i beta)))
(* -6 (/ i beta))
(* i (- (/ 1 i) (* 6 (/ 1 beta))))
(* i (- (/ 1 i) (* 6 (/ 1 beta))))
(* i (- (/ 1 i) (* 6 (/ 1 beta))))
(* -6 (/ i beta))
(* -1 (* i (- (* 6 (/ 1 beta)) (/ 1 i))))
(* -1 (* i (- (* 6 (/ 1 beta)) (/ 1 i))))
(* -1 (* i (- (* 6 (/ 1 beta)) (/ 1 i))))
(* -6 (/ i beta))
(/ (+ beta (* -6 i)) beta)
(/ (+ beta (* -6 i)) beta)
(/ (+ beta (* -6 i)) beta)
1
(+ 1 (* -6 (/ i beta)))
(+ 1 (* -6 (/ i beta)))
(+ 1 (* -6 (/ i beta)))
1
(+ 1 (* -6 (/ i beta)))
(+ 1 (* -6 (/ i beta)))
(+ 1 (* -6 (/ i beta)))
(/ -4 (pow i 2))
(- (* 24 (/ (pow beta 2) (pow i 2))) (* 4 (/ 1 (pow i 2))))
(- (* 24 (/ (pow beta 2) (pow i 2))) (* 4 (/ 1 (pow i 2))))
(- (* 24 (/ (pow beta 2) (pow i 2))) (* 4 (/ 1 (pow i 2))))
(* 24 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2))))))
(* 24 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (* 24 (/ 1 (pow i 2))) (* 4 (/ 1 (* (pow beta 2) (pow i 2))))))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))
(/ (pow beta 2) (pow i 2))

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

rewrite357.0ms (2.5%)

Memory

-19.3MiB live, 500.5MiB allocated

Rules

5 154×	`lower-*.f32`
5 140×	`lower-*.f64`
4 694×	`lower-fma.f32`
4 682×	`lower-fma.f64`
2 646×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	898
0	113	766
1	585	734
2	5295	728
0	8088	691

Stop Event

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

Counts

25 → 339

Calls

Call 1

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

Outputs
(+.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))
(+.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i) #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))
(-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))
(-.f64 (/.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (fma.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (.f64 i i))) (fma.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))))
(-.f64 (/.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))
(fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal 1/8 binary64) i)) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) i)) #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) i) #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))
(fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (*.f64 i i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i)))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (.f64 i i)))) (fma.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i))) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (.f64 i i))))) (neg.f64 (fma.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i)))) (neg.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))
(/.f64 (fma.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (.f64 i i))))) (fma.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)) (.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i))) (-.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) i)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (*.f64 i i))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (-.f64 (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64)) (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))))
(.f64 (-.f64 (.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 i i))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/8 binary64) i) #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i)))
#s(approx (+ (* 1/16 (/ (* 2 (+ alpha beta)) i)) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 beta i)))
(+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 beta i)) #s(literal 1/16 binary64))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 beta beta) (*.f64 i i)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/16 binary64))))
(fma.f64 beta (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))
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(.f64 (/.f64 (.f64 beta beta) i) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 beta (.f64 i i)) beta)
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eval148.0ms (1%)

Memory: 21.4MiB live, 395.1MiB allocated
Compiler: Compiled 62 077 to 1 960 computations (96.8% saved)

prune275.0ms (1.9%)

Memory

-17.9MiB live, 440.8MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 136	7	1 143
Fresh	4	15	19
Picked	4	1	5
Done	0	2	2
Total	1 144	25	1 169

Accuracy

98.6%

Counts

1 169 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	23.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i i)) beta) beta))
	34.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	30.2%	#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 i beta) (+.f64 i alpha)) beta))
	22.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i #s(literal 1 binary64)) (.f64 beta (/.f64 beta (+.f64 alpha i)))))
✓	16.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
	24.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (.f64 i (+.f64 alpha i))) beta)))
	17.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
	30.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
	28.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (exp.f64 (.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64)))))
	23.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 #s(approx ( i (+ i alpha)) (*.f64 i i)) beta) (/.f64 #s(literal 1 binary64) beta)))
	16.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (.f64 (pow.f64 (/.f64 beta (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha i) (.f64 i i)))) (/.f64 i beta)))
	30.2%	#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 (+.f64 alpha i) beta) i) (/.f64 #s(literal 1 binary64) beta)))
	28.3%	#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 (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta)))
	12.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	15.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 (.f64 i i) #s(approx (+ (* (/ i beta) -6) 1) (/.f64 (fma.f64 i #s(literal -6 binary64) beta) beta)))) (*.f64 beta beta))))
	15.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (/.f64 #s(approx (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 i (.f64 i (fma.f64 i (/.f64 #s(literal -6 binary64) beta) #s(literal 1 binary64))))) (*.f64 beta beta))))
	22.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (.f64 (/.f64 #s(approx (+ ( i i) (neg (/ (* (* i (* i i)) 6) beta))) (.f64 i (.f64 i (fma.f64 i (/.f64 #s(literal -6 binary64) beta) #s(literal 1 binary64))))) beta) (/.f64 #s(literal 1 binary64) beta))))
	30.2%	#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)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) (.f64 (.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
	7.1%	#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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (* beta beta)) (/.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal -6 binary64) (.f64 beta (.f64 i i))) (.f64 beta (.f64 beta beta))))))
	15.1%	#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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (+ (* i i) (neg (/ (* (* i (* i i)) 6) beta))) (* beta beta)) (.f64 (.f64 i i) (fma.f64 #s(literal -6 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))))))
	71.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
	64.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (+ (+ (* 1/16 (/ (* beta beta) (* i i))) 1/16) (* -1/256 (/ (+ (* 4 (+ (* beta beta) -1)) (* (* beta beta) 20)) (* i i)))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))))
✓	11.1%	#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 (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
✓	71.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 969 to 517 computations (73.7% saved)

regimes75.0ms (0.5%)

Memory

14.2MiB live, 156.6MiB allocated

Counts

56 → 2

Calls

Call 1

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

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

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

Calls

4 calls:

20.0ms	i
19.0ms	alpha
17.0ms	(/.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)))
15.0ms	beta

Results

Accuracy	Segments	Branch
80.8%	2	`alpha`
86.7%	2	`beta`
85.3%	2	`i`
85.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 68 to 26 computations (61.8% saved)

regimes13.0ms (0.1%)

Memory

-20.0MiB live, 25.4MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

beta

Results

Accuracy	Segments	Branch
86.7%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
86.7%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-28.6MiB live, 18.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms

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

4.0ms

beta

Results

Accuracy	Segments	Branch
74.5%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
85.8%	2	`beta`

Compiler

Compiled 60 to 20 computations (66.7% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB 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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ 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(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))

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

Calls

3 calls:

3.0ms	beta
3.0ms	alpha
3.0ms	i

Results

Accuracy	Segments	Branch
71.7%	1	`alpha`
75.0%	2	`i`
76.9%	2	`beta`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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 (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.f64 i (.f64 beta beta)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))

Outputs

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
76.5%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
76.5%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Memory

-42.7MiB live, 15.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

3.0ms

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

2.0ms

beta

Results

Accuracy	Segments	Branch
71.7%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
71.7%	1	`i`
71.7%	1	`beta`

Compiler

Compiled 64 to 23 computations (64.1% saved)

regimes5.0ms (0%)

Memory

15.2MiB live, 15.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

1.0ms	beta
1.0ms	alpha
1.0ms	i
1.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
71.6%	1	`alpha`
71.6%	1	`beta`
71.6%	1	`i`
71.6%	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 68 to 26 computations (61.8% saved)

bsearch14.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.017526810213749e+184	2.1495677595792368e+185

Samples

8.0ms

96×

valid

Compiler

Compiled 293 to 167 computations (43% saved)

Precisions

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

ival-add: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

ival-div: 1.0ms (18.1% 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)

bsearch19.0ms (0.1%)

Memory

-11.0MiB live, 35.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.0492845496491937e+180	9.698906507071119e+182

Samples

11.0ms

128×

valid

Compiler

Compiled 299 to 175 computations (41.5% saved)

Precisions

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

ival-mult: 4.0ms (47.2% of total)

ival-add: 2.0ms (23.6% of total)

ival-sub: 1.0ms (11.8% of total)

ival-div: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0492845496491937e+180	9.698906507071119e+182

Compiler

Compiled 283 to 159 computations (43.8% saved)

bsearch14.0ms (0.1%)

Memory

-23.9MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.0492845496491937e+180	9.698906507071119e+182

Samples

8.0ms

96×

valid

Compiler

Compiled 275 to 143 computations (48% saved)

Precisions

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

ival-add: 2.0ms (34.7% of total)

ival-mult: 2.0ms (34.7% of total)

ival-div: 1.0ms (17.3% 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)

bsearch17.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.0740331227615552e+214	2.004735912659527e+219

Samples

10.0ms

128×

valid

Compiler

Compiled 275 to 151 computations (45.1% saved)

Precisions

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

ival-mult: 3.0ms (40.2% of total)

ival-add: 2.0ms (26.8% of total)

ival-sub: 1.0ms (13.4% of total)

ival-div: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

-16.1MiB live, 30.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.12947583234782e+235	1.3184502013770654e+239

Samples

13.0ms

128×

valid

Compiler

Compiled 283 to 159 computations (43.8% saved)

Precisions

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

ival-mult: 3.0ms (39.7% of total)

ival-add: 2.0ms (26.5% of total)

ival-sub: 1.0ms (13.2% of total)

ival-div: 1.0ms (13.2% 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

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.12947583234782e+235	1.3184502013770654e+239

Compiler

Compiled 275 to 151 computations (45.1% saved)

simplify19.0ms (0.1%)

Memory

-21.9MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
22×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1407
1	116	1407
2	123	1407
3	135	1407
4	148	1407
5	160	1407
6	166	1407
7	168	1407

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 51000000000000002583473180435119171878355999793947059535693609666612682435221664847643939648093093241690384251525525017872699027228846497117224878503724959247796632977429040425234071552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))))
(if (<=.f64 beta #s(literal 3900000000000000082138206733699564893788134651168886036865031907081911695213398781848190969781794397557695946176772234875595937423504677867910759495186067794976980833914646425501696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))))
(if (<=.f64 beta #s(literal 3900000000000000082138206733699564893788134651168886036865031907081911695213398781848190969781794397557695946176772234875595937423504677867910759495186067794976980833914646425501696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 30999999999999998904638608932969622982155091030250318048362208305286811988399558162205597385636494640609239417259299346998803994055143086354010813314883855630282430499123311142764544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 79999999999999996814840445986014158451600378337956339011904945005517378013250878936070116031219950374624773536584264883513726313185674331749743828139763820834706001142617780333533777178574908679757929971103400718237696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 3600000000000000146213447446243256576986460571814190536786847685710560553090748720251100259106573768755277069528824402292296312277155370144368168017193090233586851927249182761949172782431162034082653802187236860615927543343976803884597248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 3600000000000000146213447446243256576986460571814190536786847685710560553090748720251100259106573768755277069528824402292296312277155370144368168017193090233586851927249182761949172782431162034082653802187236860615927543343976803884597248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.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(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 beta #s(literal 51000000000000002583473180435119171878355999793947059535693609666612682435221664847643939648093093241690384251525525017872699027228846497117224878503724959247796632977429040425234071552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) i))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))))
(if (<=.f64 beta #s(literal 51000000000000002583473180435119171878355999793947059535693609666612682435221664847643939648093093241690384251525525017872699027228846497117224878503724959247796632977429040425234071552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64)) (/.f64 (.f64 (+.f64 beta alpha) #s(literal 1/8 binary64)) i))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 i (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 3900000000000000082138206733699564893788134651168886036865031907081911695213398781848190969781794397557695946176772234875595937423504677867910759495186067794976980833914646425501696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))))
(if (<=.f64 beta #s(literal 3900000000000000082138206733699564893788134651168886036865031907081911695213398781848190969781794397557695946176772234875595937423504677867910759495186067794976980833914646425501696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 i (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 3900000000000000082138206733699564893788134651168886036865031907081911695213398781848190969781794397557695946176772234875595937423504677867910759495186067794976980833914646425501696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 30999999999999998904638608932969622982155091030250318048362208305286811988399558162205597385636494640609239417259299346998803994055143086354010813314883855630282430499123311142764544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 30999999999999998904638608932969622982155091030250318048362208305286811988399558162205597385636494640609239417259299346998803994055143086354010813314883855630282430499123311142764544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ i alpha) beta) (/.f64 i beta)))))
(if (<=.f64 beta #s(literal 79999999999999996814840445986014158451600378337956339011904945005517378013250878936070116031219950374624773536584264883513726313185674331749743828139763820834706001142617780333533777178574908679757929971103400718237696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 79999999999999996814840445986014158451600378337956339011904945005517378013250878936070116031219950374624773536584264883513726313185674331749743828139763820834706001142617780333533777178574908679757929971103400718237696 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)))))
(if (<=.f64 beta #s(literal 3600000000000000146213447446243256576986460571814190536786847685710560553090748720251100259106573768755277069528824402292296312277155370144368168017193090233586851927249182761949172782431162034082653802187236860615927543343976803884597248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 3600000000000000146213447446243256576986460571814190536786847685710560553090748720251100259106573768755277069528824402292296312277155370144368168017193090233586851927249182761949172782431162034082653802187236860615927543343976803884597248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 i alpha) (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 3600000000000000146213447446243256576986460571814190536786847685710560553090748720251100259106573768755277069528824402292296312277155370144368168017193090233586851927249182761949172782431162034082653802187236860615927543343976803884597248 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))) #s(approx (/ (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* i (+ alpha i)) (* beta beta)) (.f64 alpha (/.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(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))) #s(approx (/ (* 1/4 (* i i)) (+ (* 4 (* i i)) -1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness1.3s (8.7%)

Memory

53.5MiB live, 759.1MiB allocated

Rules

9 052×	`lower-fma.f64`
9 052×	`lower-fma.f32`
7 692×	`lower-*.f64`
7 692×	`lower-*.f32`
7 548×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	946	37419
1	3259	36905
0	8663	33859
0	52	543
0	84	439
1	473	430
2	4388	428
0	9754	428
0	2357	51839
0	8344	47236
0	1076	12354
1	3790	11572
0	8143	10751
0	67	598
0	94	502
1	467	488
2	4340	474
0	11003	454
0	968	40522
1	3247	39903
0	8538	36402

Stop Event

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

Compiler

Compiled 482 to 248 computations (48.5% saved)

preprocess201.0ms (1.4%)

Memory: -12.8MiB live, 210.7MiB allocated
Compiler: Compiled 574 to 178 computations (69% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze14.0ms (0.1%)

sample2.8s (19.3%)

explain320.0ms (2.2%)

preprocess271.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify442.0ms (3.1%)

localize109.0ms (0.8%)

series168.0ms (1.2%)

simplify1.1s (7.8%)

rewrite442.0ms (3.1%)

eval175.0ms (1.2%)

prune226.0ms (1.6%)

simplify452.0ms (3.1%)

localize154.0ms (1.1%)

series184.0ms (1.3%)

simplify481.0ms (3.3%)

rewrite411.0ms (2.9%)

eval504.0ms (3.5%)

prune327.0ms (2.3%)

simplify278.0ms (1.9%)

localize234.0ms (1.6%)

series105.0ms (0.7%)

simplify558.0ms (3.9%)

rewrite432.0ms (3%)

eval212.0ms (1.5%)

prune335.0ms (2.3%)

simplify311.0ms (2.2%)

localize283.0ms (2%)

series98.0ms (0.7%)

simplify511.0ms (3.5%)

rewrite357.0ms (2.5%)

eval148.0ms (1%)

prune275.0ms (1.9%)

regimes75.0ms (0.5%)

regimes13.0ms (0.1%)

regimes7.0ms (0%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

bsearch14.0ms (0.1%)

bsearch19.0ms (0.1%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch20.0ms (0.1%)

bsearch1.0ms (0%)

simplify19.0ms (0.1%)

soundness1.3s (8.7%)

preprocess201.0ms (1.4%)

end0.0ms (0%)

Profiling