Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze19.0ms (0.1%)

Memory

-15.8MiB live, 34.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.5s (10.6%)

Memory

13.2MiB live, 2 615.7MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 821.0ms

ival-mult: 356.0ms (43.4% of total)

ival-add: 160.0ms (19.5% of total)

ival->: 113.0ms (13.8% of total)

ival-div: 96.0ms (11.7% of total)

ival-sub: 64.0ms (7.8% of total)

ival-and: 16.0ms (1.9% of total)

exact: 14.0ms (1.7% of total)

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

Bogosity

explain525.0ms (3.6%)

Memory

-156.2MiB live, 400.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	166	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	159
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	221
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	312
↳	`(.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	135	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	159
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	221
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	312
↳	`(.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	135
↳	`(-.f64 (.f64 (+.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	55	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	159
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	221
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	312
`/.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	16	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 -
+	221	0
-	0	35

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	0	0
-	0	0	35

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	35
1	70
2	151

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

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 (43.8% of total)

ival-add: 9.0ms (28.1% of total)

ival-div: 5.0ms (15.6% of total)

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

exact: 1.0ms (3.1% of total)

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

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

preprocess273.0ms (1.9%)

Memory

15.7MiB live, 366.9MiB 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: 0.4MiB live, 0.4MiB 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
▶	14.3%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

14.3%

(/.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)

simplify278.0ms (1.9%)

Memory

8.9MiB live, 397.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.4%)

Memory

-15.1MiB live, 111.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.08822250976844201	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	36.409559488860396	(/.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	47.06033515424992	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))

Samples

28.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

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

ival-mult: 7.0ms (44.8% of total)

ival-add: 5.0ms (32% of total)

ival-div: 3.0ms (19.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.4%)

Memory

22.0MiB live, 106.9MiB 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 (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (pow (+ alpha beta) 2) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) (taylor inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) (taylor inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) (taylor inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	0	(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
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))
3.0ms	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))
2.0ms	i	@	0	(* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))

simplify640.0ms (4.4%)

Memory

-31.4MiB live, 459.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

rewrite592.0ms (4.1%)

Memory

31.3MiB live, 552.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 609

Calls

Call 1

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

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

eval216.0ms (1.5%)

Memory: 53.9MiB live, 562.5MiB allocated
Compiler: Compiled 120 180 to 4 604 computations (96.2% saved)

prune327.0ms (2.3%)

Memory

-14.9MiB live, 559.7MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1 379	17	1 396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 380	17	1 397

Accuracy

84.5%

Counts

1 397 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.2%	(/.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))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	13.5%	(/.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))) (.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))))
	14.1%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.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 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 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	13.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.3%	(/.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 alpha (/.f64 beta (+.f64 alpha beta)) (.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 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.5%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.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)))
	15.2%	(.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.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)))))
	37.1%	(.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)))))
▶	39.5%	(.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))))
	14.2%	(.f64 (/.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))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
▶	13.4%	(.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))) (/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	36.9%	(.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))))
	12.3%	#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 alpha #s(literal 4 binary64) (.f64 i #s(literal 8 binary64)))) beta)))) (*.f64 beta beta)))
	12.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 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)))))
▶	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)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
	63.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 (-.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 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i))) i)))
▶	72.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 716 to 600 computations (65% saved)

simplify267.0ms (1.9%)

Memory

-30.8MiB live, 333.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

9 578×	`lower-fma.f32`
9 570×	`lower-fma.f64`
4 564×	`lower-*.f32`
4 534×	`lower-*.f64`
4 146×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	763
0	97	731
1	273	731
2	969	701
3	5405	695
4	6871	656
0	8396	656

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

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

localize193.0ms (1.3%)

Memory

4.2MiB live, 315.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(/.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)))
accuracy	0.11166000976844201	(.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))))
accuracy	36.63913216820255	(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	37.34585828865995	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.0625	(*.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)))
accuracy	0.5107941559880059	(/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	4.818637106496956	(/.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	49.1225117340239	(.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))) (/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	0.08203125	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
accuracy	1.4002545603929284	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.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))))
accuracy	36.409559488860396	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.f64 i 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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	47.094892752387835	(/.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)))
accuracy	0	(*.f64 i (+.f64 alpha i))
accuracy	0	(*.f64 beta beta)
accuracy	18.81567836278844	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
accuracy	45.13490617831749	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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	17.892804983122854	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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

78.0ms

256×

valid

Compiler

Compiled 754 to 53 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 26.0ms (46.9% of total)

ival-add: 14.0ms (25.2% of total)

ival-div: 13.0ms (23.4% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series357.0ms (2.5%)

Memory

-19.6MiB live, 297.1MiB allocated

Counts

23 → 756

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

189 calls:

Time	Variable		Point	Expression
38.0ms	alpha	@	0	(* (/ (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)))
36.0ms	i	@	inf	(/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta)))
36.0ms	i	@	0	(/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta)))
20.0ms	i	@	inf	(* (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1) (+ (* i 2) (+ alpha beta)))
8.0ms	i	@	-inf	(* (/ (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)))

simplify944.0ms (6.6%)

Memory

1.4MiB live, 432.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 456×	`lower-*.f64`
5 456×	`lower-*.f32`
5 418×	`lower-+.f64`
5 418×	`lower-+.f32`
3 430×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3602	59528
0	8133	57161

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 741

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))))
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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 (* 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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(/ (* 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 (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ (pow i 2) (pow beta 2))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
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(/ (* alpha i) (pow beta 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
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i
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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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(+ (* 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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(/ (+ (* -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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(/ (* 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)))
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(* i (+ 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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(- (+ (* -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))))
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(/ (* (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))
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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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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ (* 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 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))))
(* 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))))))
(* 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))))))
(* 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))))))
(* 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))
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(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* 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))))
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(* (pow i 2) (pow (+ alpha i) 2))
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(* (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))))
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 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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(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(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 i 2)
(* (pow i 2) (+ 1 (* -2 (/ i beta))))
(* (pow i 2) (+ 1 (* i (- (* 5 (/ i (pow beta 2))) (* 2 (/ 1 beta))))))
(* (pow i 2) (+ 1 (* i (- (* i (+ (* -12 (/ i (pow beta 3))) (* 5 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/2 (/ beta i))) (* 1/4 (/ beta i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (pow beta 2) (pow i 2))) (* 1/2 (/ beta i)))) (+ (* 1/16 (/ (pow beta 2) (pow i 2))) (+ (* 1/4 (/ beta i)) (/ (* beta (- (* 1/2 beta) (* 1/4 beta))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (pow beta 2) (- (* 1/2 beta) (* 1/4 beta)))) (* beta (- (* 1/4 (pow beta 2)) (+ (* 1/16 (pow beta 2)) (* beta (- (* 1/2 beta) (* 1/4 beta))))))) (pow i 3))) (+ (* 1/4 (/ (pow beta 2) (pow i 2))) (* 1/2 (/ beta i))))) (+ (* 1/16 (/ (pow beta 2) (pow i 2))) (+ (* 1/4 (/ beta i)) (/ (* beta (- (* 1/2 beta) (* 1/4 beta))) (pow i 2))))))
(* 1/4 (pow i 2))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (* -1/2 beta) (* -1/4 beta)) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow beta 2)) (+ (* -1 (* beta (- (* -1/2 beta) (* -1/4 beta)))) (* 1/16 (pow beta 2)))) i)) (* -1/2 beta)) (* -1/4 beta)) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* beta (- (* 1/4 (pow beta 2)) (+ (* -1 (* beta (- (* -1/2 beta) (* -1/4 beta)))) (* 1/16 (pow beta 2))))) i)) (+ (* 1/4 (/ (* (pow beta 2) (- (* -1/2 beta) (* -1/4 beta))) i)) (* 1/4 (pow beta 2)))) (+ (* -1 (* beta (- (* -1/2 beta) (* -1/4 beta)))) (* 1/16 (pow beta 2)))) i)) (* -1/2 beta)) (* -1/4 beta)) i))))
(* 1/4 (pow i 2))
(+ (* 1/4 (pow i 2)) (* beta (- (* 1/2 i) (* 1/4 i))))
(+ (* 1/4 (pow i 2)) (* beta (- (+ (* -1/16 beta) (* 1/2 i)) (* 1/4 i))))
(+ (* 1/4 (pow i 2)) (* beta (- (+ (* 1/2 i) (* beta (- (* beta (- (* 1/16 (/ 1 i)) (* 1/4 (/ (- (* 1/2 i) (* 1/4 i)) (pow i 2))))) 1/16))) (* 1/4 i))))
(pow i 2)
(- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 4 (/ (pow i 3) beta)))
(- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 4 (/ (* i (- (* 2 (pow i 3)) (* 4 (pow i 3)))) (pow beta 2))) (+ (* 4 (/ (pow i 3) beta)) (* 4 (/ (pow i 4) (pow beta 2))))))
(- (+ (* -1 (/ (+ (* 4 (* i (- (pow i 4) (+ (* 4 (* i (- (* 2 (pow i 3)) (* 4 (pow i 3))))) (* 4 (pow i 4)))))) (* 4 (* (pow i 2) (- (* 2 (pow i 3)) (* 4 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 4 (/ (* i (- (* 2 (pow i 3)) (* 4 (pow i 3)))) (pow beta 2))) (+ (* 4 (/ (pow i 3) beta)) (* 4 (/ (pow i 4) (pow beta 2))))))
(pow i 2)
(+ (* -1 (/ (- (* -2 (pow i 3)) (* -4 (pow i 3))) beta)) (pow i 2))
(+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -4 (* i (- (* -2 (pow i 3)) (* -4 (pow i 3))))) (* 4 (pow i 4)))) beta))) (* -4 (pow i 3))) beta)) (pow i 2))
(+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -4 (/ (* i (- (pow i 4) (+ (* -4 (* i (- (* -2 (pow i 3)) (* -4 (pow i 3))))) (* 4 (pow i 4))))) beta)) (+ (* 4 (/ (* (pow i 2) (- (* -2 (pow i 3)) (* -4 (pow i 3)))) beta)) (pow i 4))) (+ (* -4 (* i (- (* -2 (pow i 3)) (* -4 (pow i 3))))) (* 4 (pow i 4)))) beta))) (* -4 (pow i 3))) beta)) (pow i 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)))
(/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(+ (* -1 (* i (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
(+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (* -1 (/ (* (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 8 (/ 1 (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
(/ 1/8 (pow i 3))
(/ (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))) (pow i 3))
(/ (- (+ 1/8 (* -1 (/ (+ (* -1/512 (pow (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) 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))) (pow i 3))
(/ (- (+ 1/8 (* -1 (/ (+ (* -1/8 (* (+ (* -1/512 (pow (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (+ (* -1/512 (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* 1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (pow i 3)))) (+ (* -1/512 (/ (pow (+ (* 4 (+ alpha beta)) (* 8 (+ 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))))) (pow i 3))
(/ 1/8 (pow i 3))
(* -1 (/ (- (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) 1/8) (pow i 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/512 (/ (pow (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) 2) i)) (* 1/64 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) (pow i 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/512 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) i)) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i)) (* 1/8 (/ (* (+ (* 1/512 (pow (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) i)))) (+ (* 1/512 (pow (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) 2)) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) (pow i 3)))
(/ 1 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ 1 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (* 2 (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))))) (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ 1 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (+ (* 2 (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))))) (/ 1 (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ beta (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ beta (* 2 i)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ 1 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))
(/ 1 (pow alpha 3))
(/ (+ 1 (* -1 (/ (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) alpha))) (pow alpha 3))
(/ (- (+ 1 (/ 1 (pow alpha 2))) (+ (* -1 (/ (pow (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow alpha 2)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))))) (pow alpha 3))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (+ (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- 1 (+ (* -1 (pow (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 2)) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))))))) (pow alpha 3))) (/ 1 (pow alpha 2)))) (+ (* -1 (/ (pow (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow alpha 2)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))))) (pow alpha 3))
(/ 1 (pow alpha 3))
(* -1 (/ (- (+ (* 2 (/ i alpha)) (+ (* 2 (/ (+ beta (* 2 i)) alpha)) (/ beta alpha))) 1) (pow alpha 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ beta (* 2 i)) 2) alpha)) (+ (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha)) (/ (pow (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 2) alpha))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)) alpha) (+ (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1)))) alpha) (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -2 (pow (+ beta (* 2 i)) 2)) (+ (* -1 (- (pow (+ beta (* 2 i)) 2) 1)) (pow (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 2)))) alpha))) (+ (* -2 (pow (+ beta (* 2 i)) 2)) (+ (* -1 (- (pow (+ beta (* 2 i)) 2) 1)) (pow (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 2)))) alpha)) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1) (pow alpha 3)))
(/ 1 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ 1 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 2 (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (- (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))))))) (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ 1 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (- (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (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)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (+ (* 2 (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (- (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))))))) (/ 1 (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 2 (/ alpha (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (+ (* 4 (/ i (* (+ alpha (* 2 i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ 1 (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ 1 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ 1 (pow beta 3))
(/ (+ 1 (* -1 (/ (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) beta))) (pow beta 3))
(/ (- (+ 1 (/ 1 (pow beta 2))) (+ (* -1 (/ (pow (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (pow beta 3))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (+ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- 1 (+ (* -1 (pow (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 2)) (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))))))) (pow beta 3))) (/ 1 (pow beta 2)))) (+ (* -1 (/ (pow (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (pow beta 3))
(/ 1 (pow beta 3))
(* -1 (/ (- (+ (* 2 (/ i beta)) (+ (* 2 (/ (+ alpha (* 2 i)) beta)) (/ alpha beta))) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ alpha (* 2 i)) 2) beta)) (+ (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta)) (/ (pow (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 2) beta))) (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) beta) (+ (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)))) beta) (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (+ (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)) (pow (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 2)))) beta))) (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (+ (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)) (pow (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 2)))) beta)) (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))
(+ (* i (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(+ (* i (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* i (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(+ (* i (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* i (+ (* 4 (+ alpha beta)) (+ (* 8 i) (* 8 (+ alpha beta)))))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* 8 (pow i 3))
(* (pow i 3) (+ 8 (+ (* 4 (/ (+ alpha beta) i)) (* 8 (/ (+ alpha beta) i)))))
(* (pow i 3) (+ 8 (+ (* 2 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (+ alpha beta) i)) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 8 (/ (+ alpha beta) i)))))))
(* (pow i 3) (+ 8 (+ (* 2 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (+ alpha beta) i)) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 8 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))))))))
(* 8 (pow i 3))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) 8)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i)) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) i)) 8)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (+ alpha beta) 2)) (+ (* -2 (- (pow (+ alpha beta) 2) 1)) (* -1 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i)))) i)) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) i)) 8)))
(* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))
(+ (* alpha (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (+ (* alpha (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (+ (* alpha (+ alpha (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (/ beta alpha))))))
(* (pow alpha 3) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow alpha 2)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))))) (/ 1 (pow alpha 2))))
(* (pow alpha 3) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow alpha 2)) (+ (/ (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 3)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))))) (/ 1 (pow alpha 2))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) alpha)) (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow (+ beta (* 2 i)) 2)) (+ (* -1 (- (pow (+ beta (* 2 i)) 2) 1)) (* -1 (/ (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)) alpha)))) alpha)) (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1)))
(* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))
(+ (* beta (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (+ (* beta (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (+ (* beta (+ alpha (+ beta (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (/ alpha beta))))))
(* (pow beta 3) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))))) (/ 1 (pow beta 2))))
(* (pow beta 3) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 3)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (/ 1 (pow beta 2))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) beta)) (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (+ (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)) (* -1 (/ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) beta)))) beta)) (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1)))
(/ (* alpha beta) (+ alpha beta))
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(+ (* i (- (+ 1 (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(+ (* i (- (+ 1 (* i (- (+ (* -2 (/ (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta))) (/ 1 (+ alpha beta))) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(* 1/2 i)
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i))))
(* i (- (+ 1/2 (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* 1/2 i)
(* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
(/ (* i (+ beta i)) (+ beta (* 2 i)))
(+ (* alpha (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(+ beta i)
(- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
(- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
(- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 3))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))
(* -1 (+ (* -1 beta) (* -1 i)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha)))
(/ (* i (+ alpha i)) (+ alpha (* 2 i)))
(+ (* beta (- (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3)) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))))) (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ alpha (pow (+ alpha (* 2 i)) 3)) (/ i (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3))) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))))) (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ alpha i)
(- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
(- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 3))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))
(* -1 (+ (* -1 alpha) (* -1 i)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
i
(* i (+ 1 (* -1 (/ i (+ alpha beta)))))
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))))
(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))))
(* 1/2 i)
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i))))
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i))))
(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* 1/2 i)
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2)))
(/ (* i (+ beta i)) (+ beta (* 2 i)))
(+ (* alpha (- (/ i (+ beta (* 2 i))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ i (pow (+ beta (* 2 i)) 3)) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
i
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha))
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha))
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))))
i
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha)))
(/ (* i (+ alpha i)) (+ alpha (* 2 i)))
(+ (* beta (- (/ i (+ alpha (* 2 i))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3)) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ i (pow (+ alpha (* 2 i)) 3)) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3))) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
i
(- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ alpha (* 2 i))) beta))
(- (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ alpha (* 2 i))) beta))
(- (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 3)))) (+ (/ (* i (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))))
i
(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta)))

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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alpha beta))))) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (/.f64 (.f64 alpha (.f64 beta (fma.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 20 binary64))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 alpha (.f64 beta (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) 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beta) (+.f64 alpha beta) #s(literal -1 binary64)))))))) (+.f64 (/.f64 (.f64 alpha (.f64 beta (fma.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 20 binary64))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 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1/16
#s(literal 1/16 binary64)
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
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1/16
#s(literal 1/16 binary64)
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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#s(literal 1/16 binary64)
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(/ (* alpha (* beta i)) (+ alpha beta))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(.f64 (.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 i i))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (.f64 i i))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(.f64 (.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 alpha (.f64 beta (+.f64 alpha beta))) (.f64 i (.f64 i i))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 i i)))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (fma.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)))) (.f64 i (.f64 i i))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (.f64 i i))) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (.f64 i (*.f64 i i))))))))
(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i))) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) i)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (+.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))))
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(/ (* (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 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))
(+ (* 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 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (-.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 6 binary64))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))
(* 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))
(-.f64 (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)) (/.f64 (.f64 i (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) 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)))))
(-.f64 (fma.f64 i (+.f64 beta i) (+.f64 (/.f64 (.f64 i (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)))) (+.f64 (+.f64 (/.f64 (.f64 i (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) alpha) (/.f64 (.f64 i (.f64 (+.f64 beta i) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 alpha alpha))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (.f64 alpha alpha))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i (.f64 (+.f64 beta i) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))))) (.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))))))) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 i (+.f64 beta i) (+.f64 (/.f64 (.f64 i (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))))) (+.f64 (+.f64 (/.f64 (.f64 i (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) alpha) (/.f64 (.f64 i (.f64 (+.f64 beta i) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 alpha alpha))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (.f64 alpha alpha))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(neg.f64 (*.f64 i (+.f64 (neg.f64 beta) (neg.f64 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)))
(.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)) (/.f64 (fma.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))) (.f64 #s(literal -2 binary64) (.f64 i (.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha)))
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(* alpha beta)
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(+ (* alpha beta) (* i (+ alpha (+ beta i))))
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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 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
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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))))
(.f64 alpha (+.f64 (+.f64 beta i) (/.f64 (.f64 i (+.f64 beta i)) alpha)))
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(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
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(* alpha (* beta i))
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(* 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)))))))
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(* 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 #s(literal 1/2 binary64) (.f64 i (*.f64 i i)))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i (.f64 i i)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 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))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 i i))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)))) (.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 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha (.f64 beta (+.f64 alpha beta))) (.f64 i (.f64 i i))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 i i)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)))) (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/4 binary64) (+.f64 alpha beta))))))) (.f64 i (.f64 i i))))))))
(* 1/2 (pow i 3))
(.f64 #s(literal 1/2 binary64) (.f64 i (*.f64 i i)))
(* -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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 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)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))) i))) i)) #s(literal -1/2 binary64))))
(* -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)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 alpha (.f64 beta (+.f64 alpha beta))) i))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))))))) i))) i))) i)) #s(literal -1/2 binary64))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (+.f64 beta (.f64 #s(literal 2 binary64) 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))))
(fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (+.f64 beta (*.f64 #s(literal 2 binary64) 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))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (+.f64 (/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (+.f64 beta (.f64 #s(literal 2 binary64) 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))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (+.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (+.f64 (/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
(* alpha (* i (+ beta i)))
(.f64 alpha (.f64 i (+.f64 beta i)))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha)))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)) (/.f64 (.f64 i (.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) 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)))))
(.f64 alpha (-.f64 (-.f64 (fma.f64 i (+.f64 beta i) (+.f64 (/.f64 (.f64 i (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)))) (/.f64 (.f64 i (.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) alpha)) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (*.f64 alpha 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 (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 i (+.f64 beta i) (+.f64 (/.f64 (.f64 i (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))))) (+.f64 (/.f64 (.f64 i (.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) alpha) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (.f64 alpha alpha)))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 alpha (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(neg.f64 (.f64 alpha (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha)) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ 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))))))
(neg.f64 (.f64 alpha (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))) (/.f64 (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))))))) alpha)) (neg.f64 (neg.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))))) alpha)) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ 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))))))
(neg.f64 (.f64 alpha (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i)))))))))) alpha)) (neg.f64 (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i)))))))))) alpha)) (neg.f64 (neg.f64 (.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 beta) (neg.f64 i))))))) alpha)) (.f64 i (+.f64 (neg.f64 beta) (neg.f64 i))))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i)))
(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (+.f64 alpha (.f64 #s(literal 2 binary64) 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))))
(fma.f64 beta (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (+.f64 alpha (*.f64 #s(literal 2 binary64) 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))))
(fma.f64 beta (-.f64 (fma.f64 beta (-.f64 (+.f64 (/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (+.f64 alpha (.f64 #s(literal 2 binary64) 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))))
(fma.f64 beta (-.f64 (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 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (+.f64 (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (pow.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))) (+.f64 (/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))
(* 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 i (.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) 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)))))
(.f64 beta (-.f64 (+.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 i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta))) (+.f64 (/.f64 (.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) beta) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (*.f64 beta 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 (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) (.f64 beta (.f64 beta 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 i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (+.f64 (/.f64 (.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) beta) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (.f64 beta beta)))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 beta (.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i)))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(neg.f64 (.f64 beta (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i)))))) beta)) (.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -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))))))
(neg.f64 (.f64 beta (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))) (/.f64 (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (neg.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))))))) beta)) (neg.f64 (neg.f64 (.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))))) beta)) (.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -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))))))
(neg.f64 (.f64 beta (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (neg.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i)))))))))) beta)) (neg.f64 (neg.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i)))))) (neg.f64 (.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i)))))))))) beta)) (neg.f64 (neg.f64 (.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))))) beta)) (.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i))))))
(* 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 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (.f64 (+.f64 alpha 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 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (fma.f64 i (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha 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 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (fma.f64 i (+.f64 i (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha 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)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (+.f64 (/.f64 (.f64 alpha beta) (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (+.f64 (/.f64 (.f64 alpha beta) (.f64 i i)) (+.f64 (/.f64 (.f64 alpha (.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)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)))))
(* (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) (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (neg.f64 (/.f64 (.f64 alpha beta) i)) (neg.f64 (/.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) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (/.f64 (+.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 alpha (.f64 beta (+.f64 alpha beta))) i)) 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 alpha (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta 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 alpha (.f64 i (+.f64 beta i)) (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta 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 alpha (.f64 i (+.f64 beta i)) (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 alpha alpha) (*.f64 i (+.f64 beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (+.f64 (/.f64 (.f64 i (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)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (+.f64 (/.f64 (.f64 i (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)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 alpha alpha) (*.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)) (/.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha)) (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (*.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 beta) (neg.f64 i)) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha)) (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 beta i))) (*.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (.f64 i i) (*.f64 (+.f64 alpha 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 beta (.f64 i (+.f64 alpha i)) (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))) (.f64 (.f64 i i) (.f64 (+.f64 alpha 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 beta (.f64 i (+.f64 alpha i)) (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(* (pow beta 2) (* i (+ alpha i)))
(.f64 (.f64 beta beta) (*.f64 i (+.f64 alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (+.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 i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (+.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 i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 beta beta) (*.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 (neg.f64 alpha) (neg.f64 i)) (/.f64 (.f64 i (+.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 alpha) (neg.f64 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
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(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1))))
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(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* (pow i 2) (- (+ 1/4 (* 1/2 (/ beta i))) (* 1/4 (/ beta i))))
(.f64 (.f64 i i) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta i))) (.f64 #s(literal -1/4 binary64) (/.f64 beta i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (pow beta 2) (pow i 2))) (* 1/2 (/ beta i)))) (+ (* 1/16 (/ (pow beta 2) (pow i 2))) (+ (* 1/4 (/ beta i)) (/ (* beta (- (* 1/2 beta) (* 1/4 beta))) (pow i 2))))))
(.f64 (.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) (.f64 #s(literal 1/2 binary64) (/.f64 beta i)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 beta i) (/.f64 (.f64 beta (.f64 beta #s(literal 1/4 binary64))) (.f64 i i))))))
(* (pow i 2) (- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (pow beta 2) (- (* 1/2 beta) (* 1/4 beta)))) (* beta (- (* 1/4 (pow beta 2)) (+ (* 1/16 (pow beta 2)) (* beta (- (* 1/2 beta) (* 1/4 beta))))))) (pow i 3))) (+ (* 1/4 (/ (pow beta 2) (pow i 2))) (* 1/2 (/ beta i))))) (+ (* 1/16 (/ (pow beta 2) (pow i 2))) (+ (* 1/4 (/ beta i)) (/ (* beta (- (* 1/2 beta) (* 1/4 beta))) (pow i 2))))))
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(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (* -1/2 beta) (* -1/4 beta)) i))))
(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 beta #s(literal -1/4 binary64)) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow beta 2)) (+ (* -1 (* beta (- (* -1/2 beta) (* -1/4 beta)))) (* 1/16 (pow beta 2)))) i)) (* -1/2 beta)) (* -1/4 beta)) i))))
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(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* beta (- (* 1/4 (pow beta 2)) (+ (* -1 (* beta (- (* -1/2 beta) (* -1/4 beta)))) (* 1/16 (pow beta 2))))) i)) (+ (* 1/4 (/ (* (pow beta 2) (- (* -1/2 beta) (* -1/4 beta))) i)) (* 1/4 (pow beta 2)))) (+ (* -1 (* beta (- (* -1/2 beta) (* -1/4 beta)))) (* 1/16 (pow beta 2)))) i)) (* -1/2 beta)) (* -1/4 beta)) i))))
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(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(+ (* 1/4 (pow i 2)) (* beta (- (* 1/2 i) (* 1/4 i))))
(fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 beta (*.f64 i #s(literal 1/4 binary64))))
(+ (* 1/4 (pow i 2)) (* beta (- (+ (* -1/16 beta) (* 1/2 i)) (* 1/4 i))))
(fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 beta (+.f64 (fma.f64 #s(literal -1/16 binary64) beta (.f64 #s(literal 1/2 binary64) i)) (.f64 #s(literal -1/4 binary64) i))))
(+ (* 1/4 (pow i 2)) (* beta (- (+ (* 1/2 i) (* beta (- (* beta (- (* 1/16 (/ 1 i)) (* 1/4 (/ (- (* 1/2 i) (* 1/4 i)) (pow i 2))))) 1/16))) (* 1/4 i))))
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(pow i 2)
(*.f64 i i)
(- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 4 (/ (pow i 3) beta)))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta)))
(- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 4 (/ (* i (- (* 2 (pow i 3)) (* 4 (pow i 3)))) (pow beta 2))) (+ (* 4 (/ (pow i 3) beta)) (* 4 (/ (pow i 4) (pow beta 2))))))
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(- (+ (* -1 (/ (+ (* 4 (* i (- (pow i 4) (+ (* 4 (* i (- (* 2 (pow i 3)) (* 4 (pow i 3))))) (* 4 (pow i 4)))))) (* 4 (* (pow i 2) (- (* 2 (pow i 3)) (* 4 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 4 (/ (* i (- (* 2 (pow i 3)) (* 4 (pow i 3)))) (pow beta 2))) (+ (* 4 (/ (pow i 3) beta)) (* 4 (/ (pow i 4) (pow beta 2))))))
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(pow i 2)
(*.f64 i i)
(+ (* -1 (/ (- (* -2 (pow i 3)) (* -4 (pow i 3))) beta)) (pow i 2))
(+.f64 (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 2 binary64)) beta)) (.f64 i i))
(+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -4 (* i (- (* -2 (pow i 3)) (* -4 (pow i 3))))) (* 4 (pow i 4)))) beta))) (* -4 (pow i 3))) beta)) (pow i 2))
(+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 i i)) (neg.f64 (/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 4 binary64))))) beta))) (.f64 #s(literal 4 binary64) (.f64 i (.f64 i i)))) beta)) (*.f64 i i))
(+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -4 (/ (* i (- (pow i 4) (+ (* -4 (* i (- (* -2 (pow i 3)) (* -4 (pow i 3))))) (* 4 (pow i 4))))) beta)) (+ (* 4 (/ (* (pow i 2) (- (* -2 (pow i 3)) (* -4 (pow i 3)))) beta)) (pow i 4))) (+ (* -4 (* i (- (* -2 (pow i 3)) (* -4 (pow i 3))))) (* 4 (pow i 4)))) beta))) (* -4 (pow i 3))) beta)) (pow i 2))
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(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta beta) (*.f64 i i))
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) (.f64 beta i) (.f64 beta beta)))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 i (+.f64 i (.f64 #s(literal 2 binary64) beta)) (.f64 beta beta)))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 i (+.f64 i (.f64 #s(literal 2 binary64) beta)) (.f64 beta beta)))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 beta i))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta i) (/.f64 (.f64 beta beta) (*.f64 i i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta i) (/.f64 (.f64 beta beta) (*.f64 i i)))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 beta i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (/.f64 (.f64 beta beta) i))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
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(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(+ (* 2 (* beta (pow i 3))) (pow i 4))
(fma.f64 #s(literal 2 binary64) (.f64 beta (.f64 i (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(fma.f64 beta (fma.f64 #s(literal 2 binary64) (.f64 i (.f64 i i)) (.f64 beta (.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(fma.f64 beta (fma.f64 #s(literal 2 binary64) (.f64 i (.f64 i i)) (.f64 beta (.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta beta) (*.f64 i i))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (*.f64 i i)))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
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(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
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(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta beta) (*.f64 i i))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (*.f64 i i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 i i)) (neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) beta))) beta)) (*.f64 i i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 i i)) (neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) beta))) beta)) (*.f64 i i)))
(/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(+ (* -1 (* i (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))) beta) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (neg.f64 (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))) beta)) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (neg.f64 (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) beta)) (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (neg.f64 (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) beta)) (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) beta)) #s(literal -1 binary64)) (.f64 beta (*.f64 beta beta))))
(* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))
(*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(+ (* i (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(fma.f64 i (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(+ (* i (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* i (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(fma.f64 i (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i (.f64 (+.f64 alpha beta) #s(literal 12 binary64))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(+ (* i (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* i (+ (* 4 (+ alpha beta)) (+ (* 8 i) (* 8 (+ alpha beta)))))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(fma.f64 i (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i (fma.f64 #s(literal 4 binary64) (+.f64 alpha beta) (.f64 #s(literal 8 binary64) (+.f64 i (+.f64 alpha beta))))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* 8 (pow i 3))
(.f64 #s(literal 8 binary64) (.f64 i (*.f64 i i)))
(* (pow i 3) (+ 8 (+ (* 4 (/ (+ alpha beta) i)) (* 8 (/ (+ alpha beta) i)))))
(.f64 (.f64 i (.f64 i i)) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 12 binary64))))
(* (pow i 3) (+ 8 (+ (* 2 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (+ alpha beta) i)) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 8 (/ (+ alpha beta) i)))))))
(.f64 (.f64 i (.f64 i i)) (+.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (*.f64 #s(literal 8 binary64) (/.f64 (+.f64 alpha beta) i)))))))
(* (pow i 3) (+ 8 (+ (* 2 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (+ alpha beta) i)) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 8 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))))))))
(.f64 (.f64 i (.f64 i i)) (+.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (fma.f64 #s(literal 8 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (.f64 i (*.f64 i i)))))))))
(* 8 (pow i 3))
(.f64 #s(literal 8 binary64) (.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) 8)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i)) #s(literal -8 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i)) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) i)) 8)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) i)) (.f64 (+.f64 alpha beta) #s(literal 12 binary64))) i)) #s(literal -8 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (+ alpha beta) 2)) (+ (* -2 (- (pow (+ alpha beta) 2) 1)) (* -1 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i)))) i)) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) i)) 8)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) i)))) i)) (.f64 (+.f64 alpha beta) #s(literal 12 binary64))) i)) #s(literal -8 binary64))))
(* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))
(.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))
(+ (* alpha (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(fma.f64 alpha (+.f64 (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))
(+ (* alpha (- (+ (* alpha (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(fma.f64 alpha (+.f64 (fma.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) beta (.f64 i #s(literal 6 binary64)))) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal -1 binary64)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))
(+ (* alpha (- (+ (* alpha (+ alpha (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(fma.f64 alpha (+.f64 (fma.f64 alpha (+.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) beta (.f64 i #s(literal 6 binary64)))) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) #s(literal -1 binary64)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))
(pow alpha 3)
(.f64 alpha (.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (/ beta alpha))))))
(.f64 (.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (fma.f64 #s(literal 4 binary64) (/.f64 i alpha) (/.f64 beta alpha))))))
(* (pow alpha 3) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow alpha 2)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))))) (/ 1 (pow alpha 2))))
(.f64 (.f64 alpha (.f64 alpha alpha)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 alpha alpha))))))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* (pow alpha 3) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ i alpha)) (+ (* 4 (/ i alpha)) (+ (/ beta alpha) (+ (/ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow alpha 2)) (+ (/ (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 3)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))))) (/ 1 (pow alpha 2))))
(.f64 (.f64 alpha (.f64 alpha alpha)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (.f64 alpha alpha)) (+.f64 (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 alpha alpha)))))))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(pow alpha 3)
(.f64 alpha (.f64 alpha alpha))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) alpha)) 1)))
(neg.f64 (.f64 (.f64 alpha (.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha)) #s(literal -1 binary64))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) alpha)) (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1)))
(neg.f64 (.f64 (.f64 alpha (.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))) alpha)) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal -1 binary64))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow (+ beta (* 2 i)) 2)) (+ (* -1 (- (pow (+ beta (* 2 i)) 2) 1)) (* -1 (/ (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)) alpha)))) alpha)) (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) alpha)) 1)))
(neg.f64 (.f64 (.f64 alpha (.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))) alpha))) alpha)) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal -1 binary64))))
(* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))
(.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))
(+ (* beta (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(fma.f64 beta (+.f64 (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))
(+ (* beta (- (+ (* beta (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(fma.f64 beta (+.f64 (fma.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal -1 binary64)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))
(+ (* beta (- (+ (* beta (+ alpha (+ beta (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(fma.f64 beta (+.f64 (fma.f64 beta (+.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) alpha (.f64 i #s(literal 6 binary64)))) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) #s(literal -1 binary64)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (/ alpha beta))))))
(.f64 (.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta))))))
(* (pow beta 3) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))))) (/ 1 (pow beta 2))))
(.f64 (.f64 beta (.f64 beta beta)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta)) (+.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i))) (.f64 beta beta)) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta beta))))))) (/.f64 #s(literal 1 binary64) (.f64 beta beta))))
(* (pow beta 3) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 3)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (/ 1 (pow beta 2))))
(.f64 (.f64 beta (.f64 beta beta)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta)) (+.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i))) (.f64 beta beta)) (+.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta beta)))))))) (/.f64 #s(literal 1 binary64) (.f64 beta beta))))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) beta)) 1)))
(neg.f64 (.f64 (.f64 beta (.f64 beta beta)) (+.f64 (neg.f64 (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))) beta)) #s(literal -1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) beta)) (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1)))
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(/ (* alpha beta) (+ alpha beta))
(/.f64 (*.f64 alpha beta) (+.f64 alpha beta))
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
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(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i))))
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(* i (- (+ 1/2 (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
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(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
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(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
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(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2)))
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(/ (* i (+ beta i)) (+ beta (* 2 i)))
(/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))
(+ (* alpha (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
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(+ beta i)
(+.f64 beta i)
(- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
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(- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))
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(* -1 (+ (* -1 beta) (* -1 i)))
(neg.f64 (+.f64 (neg.f64 beta) (neg.f64 i)))
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(/ (* i (+ alpha i)) (+ alpha (* 2 i)))
(/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))
(+ (* beta (- (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
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(+ alpha i)
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(-.f64 (+.f64 (+.f64 alpha i) (/.f64 (.f64 i (+.f64 alpha i)) beta)) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) beta))
(- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))
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(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 3))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))
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(* -1 (+ (* -1 alpha) (* -1 i)))
(neg.f64 (+.f64 (neg.f64 alpha) (neg.f64 i)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+.f64 (neg.f64 (+.f64 (neg.f64 alpha) (neg.f64 i))) (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i)))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+.f64 (neg.f64 (+.f64 (neg.f64 alpha) (neg.f64 i))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))) beta)) (neg.f64 (.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta)))
(+.f64 (neg.f64 (+.f64 (neg.f64 alpha) (neg.f64 i))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 alpha i) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (-.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))) beta)) (neg.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (neg.f64 (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))))) beta)) (neg.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 (neg.f64 alpha) (neg.f64 i))))) beta)))
i
(* i (+ 1 (* -1 (/ i (+ alpha beta)))))
(*.f64 i (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i (+.f64 alpha beta)))))
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))))
(.f64 i (+.f64 #s(literal 1 binary64) (.f64 i (fma.f64 #s(literal 2 binary64) (/.f64 i (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)))))))
(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))))
(.f64 i (+.f64 #s(literal 1 binary64) (.f64 i (fma.f64 i (fma.f64 #s(literal -4 binary64) (/.f64 i (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)))))))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 i (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha beta) i))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i))))
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 i (+.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (.f64 i i)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha beta) i)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i))))
(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (.f64 i (.f64 i i))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha beta) i)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (*.f64 i i))))))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
(neg.f64 (.f64 i (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 alpha beta) i)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i))))))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(neg.f64 (.f64 i (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))) i))) i)) #s(literal -1/2 binary64))))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2)))
(neg.f64 (.f64 i (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))) i))) i))) i)) #s(literal -1/2 binary64))))
(/ (* i (+ beta i)) (+ beta (* 2 i)))
(/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))
(+ (* alpha (- (/ i (+ beta (* 2 i))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (/.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ i (pow (+ beta (* 2 i)) 3)) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (/.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 beta i)) (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (/.f64 i (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 beta i)) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
i
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha))
(-.f64 (+.f64 i (/.f64 (.f64 i (+.f64 beta i)) alpha)) (/.f64 (.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) alpha))
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha))
(-.f64 (+.f64 i (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 alpha alpha))) (/.f64 (.f64 i (+.f64 beta i)) alpha))) (/.f64 (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))) alpha))
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))))
(-.f64 (+.f64 (+.f64 i (/.f64 (.f64 i (+.f64 beta i)) alpha)) (/.f64 (.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (/.f64 (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))) alpha) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 alpha alpha))))
i
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha)))
(+.f64 i (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha)))
(+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 beta i) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) (neg.f64 (neg.f64 (.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha)))
(+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 beta i) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) (neg.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))) alpha)) (neg.f64 (neg.f64 (.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)))
(/ (* i (+ alpha i)) (+ alpha (* 2 i)))
(/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))
(+ (* beta (- (/ i (+ alpha (* 2 i))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (/.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3)) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (fma.f64 beta (-.f64 (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ i (pow (+ alpha (* 2 i)) 3)) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3))) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (fma.f64 beta (-.f64 (fma.f64 beta (-.f64 (/.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 alpha i)) (pow.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (/.f64 i (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 i (+.f64 alpha i)) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))
i
(- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ alpha (* 2 i))) beta))
(-.f64 (+.f64 i (/.f64 (.f64 i (+.f64 alpha i)) beta)) (/.f64 (.f64 i (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) beta))
(- (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ alpha (* 2 i))) beta))
(-.f64 (+.f64 i (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (.f64 beta beta))) (/.f64 (.f64 i (+.f64 alpha i)) beta))) (/.f64 (.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))) beta))
(- (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 3)))) (+ (/ (* i (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))))
(-.f64 (+.f64 (+.f64 i (/.f64 (.f64 i (+.f64 alpha i)) beta)) (/.f64 (.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (.f64 beta (.f64 beta beta)))) (+.f64 (/.f64 (.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i))) beta) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (.f64 beta beta))))
i
(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta)))
(+.f64 i (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))) beta)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta)))
(+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) beta)) (neg.f64 (neg.f64 (.f64 i (+.f64 alpha (*.f64 #s(literal 2 binary64) i)))))) beta)))
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta)))
(+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 alpha i) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) beta)) (neg.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (.f64 i (-.f64 (+.f64 alpha i) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) beta)) (neg.f64 (neg.f64 (.f64 i (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) beta)))

rewrite426.0ms (3%)

Memory

14.1MiB live, 521.2MiB allocated

Rules

4 880×	`lower-/.f32`
4 862×	`lower-/.f64`
4 028×	`lower-*.f32`
3 998×	`lower-*.f64`
2 938×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	602
0	97	493
1	516	483
2	5066	477
0	8842	477

Stop Event

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

Counts

23 → 1 062

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)
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (.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 (+.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 (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)))))
(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.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 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
(.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 (*.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 beta 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 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(/.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)) (fma.f64 i #s(literal 2 binary64) (+.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (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 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.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 (+.f64 i alpha)) (.f64 beta beta)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 beta beta) (*.f64 i (+.f64 i alpha)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 beta beta))) (/.f64 (.f64 i (+.f64 i alpha)) (neg.f64 (*.f64 beta beta))))
(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 (+.f64 i alpha)) (*.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))
(-.f64 (/.f64 (.f64 (.f64 alpha alpha) (.f64 i i)) (-.f64 (.f64 i alpha) (.f64 i i))) (/.f64 (.f64 (.f64 i i) (.f64 i i)) (-.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 i (.f64 i i)) (.f64 alpha (.f64 alpha alpha)) (.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 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 i (.f64 (+.f64 i alpha) (-.f64 alpha i))) (-.f64 alpha i))
(/.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) i) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (-.f64 alpha i))
(*.f64 i (+.f64 i alpha))
(*.f64 (+.f64 i alpha) i)
(+.f64 i alpha)
(+.f64 alpha i)
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (.f64 i i) (-.f64 alpha i)))
(-.f64 (/.f64 (.f64 i i) (-.f64 i alpha)) (/.f64 (.f64 alpha alpha) (-.f64 i alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha i) (*.f64 (+.f64 i alpha) (-.f64 alpha i))))
(/.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)))
(/.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (fma.f64 i i (-.f64 (.f64 alpha alpha) (*.f64 i alpha))))
(/.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (-.f64 alpha i))
(/.f64 (neg.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))) (neg.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i))) (neg.f64 (-.f64 alpha i)))
(/.f64 (-.f64 (.f64 i i) (.f64 alpha alpha)) (-.f64 i alpha))
(pow.f64 (/.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 alpha i) (*.f64 (+.f64 i alpha) (-.f64 alpha i))) #s(literal -1 binary64))
(.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))))
(.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (/.f64 #s(literal 1 binary64) (-.f64 alpha i)))
(+.f64 (*.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 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 (.f64 i (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(+.f64 (.f64 i (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(+.f64 (.f64 (+.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)) (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (.f64 i (*.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 i #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 i #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 i (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) (*.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 i (*.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.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))) #s(literal 1 binary64))
(-.f64 (/.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 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.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 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.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 (fma.f64 i #s(literal 2 binary64) (+.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 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 (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 (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))) (.f64 (.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)))) (-.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))))
(-.f64 (/.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 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.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 i #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(fma.f64 i (*.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(fma.f64 i (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.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 beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 (.f64 i (.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)))
(fma.f64 (*.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))
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(/.f64 (.f64 (fma.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta))) (.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (.f64 i (+.f64 beta (+.f64 i alpha))))))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (-.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.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 beta (+.f64 i alpha))) (.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (.f64 i (+.f64 beta (+.f64 i alpha))))))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (.f64 alpha beta) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 beta (+.f64 i alpha)))) (.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (.f64 i (+.f64 beta (+.f64 i alpha)))))))
(/.f64 (.f64 (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 beta (+.f64 i alpha))))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (.f64 alpha beta) (*.f64 i (+.f64 beta (+.f64 i alpha)))))
(/.f64 (.f64 (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (-.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (*.f64 alpha beta)))
(pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 alpha beta (*.f64 i (+.f64 beta (+.f64 i alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 alpha beta (*.f64 i (+.f64 beta (+.f64 i alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (neg.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha))))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (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 i #s(literal 2 binary64)) (-.f64 (.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))
(.f64 (/.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (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 beta (-.f64 alpha (.f64 i #s(literal 2 binary64)))) (.f64 (*.f64 i i) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 i i) #s(literal 4 binary64)))) (+.f64 beta (-.f64 alpha (.f64 i #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (-.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 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta))) (.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (.f64 i (+.f64 beta (+.f64 i alpha)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (-.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.f64 alpha beta)) (.f64 alpha (.f64 beta (.f64 alpha beta))))))
(.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta))) (.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (.f64 i (+.f64 beta (+.f64 i alpha)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 alpha beta) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 beta (+.f64 i alpha)))) (.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (.f64 i (+.f64 beta (+.f64 i alpha))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 beta (+.f64 i alpha)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 alpha beta) (*.f64 i (+.f64 beta (+.f64 i alpha))))))
(.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (-.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (.f64 alpha beta)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (*.f64 alpha beta))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 i (+.f64 beta (+.f64 i alpha))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (*.f64 i (+.f64 beta (+.f64 i alpha))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(neg.f64 (/.f64 (*.f64 i (+.f64 beta (+.f64 i alpha))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i (+.f64 beta (+.f64 i alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i (+.f64 beta (+.f64 i alpha)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i (+.f64 beta (+.f64 i alpha))))))
(/.f64 (*.f64 i (+.f64 beta (+.f64 i alpha))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (neg.f64 (*.f64 i (+.f64 beta (+.f64 i alpha)))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (neg.f64 (neg.f64 (*.f64 i (+.f64 beta (+.f64 i alpha))))) (neg.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i (+.f64 beta (+.f64 i alpha)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i (+.f64 beta (+.f64 i alpha)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 i (/.f64 (+.f64 beta (+.f64 i alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(*.f64 (+.f64 beta (+.f64 i alpha)) (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (+.f64 beta (+.f64 i alpha)) (.f64 i (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (neg.f64 (.f64 i (+.f64 beta (+.f64 i alpha)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 i (+.f64 beta (+.f64 i alpha))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (+.f64 beta (+.f64 i alpha)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 beta (+.f64 i alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) i)
(.f64 (/.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (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 i #s(literal 2 binary64)) (-.f64 (.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))
(.f64 (/.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (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 beta (-.f64 alpha (.f64 i #s(literal 2 binary64)))) (.f64 (*.f64 i i) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 i i) #s(literal 4 binary64)))) (+.f64 beta (-.f64 alpha (.f64 i #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 i (+.f64 beta (+.f64 i alpha))) (-.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)))

eval347.0ms (2.4%)

Memory: 37.8MiB live, 718.9MiB allocated
Compiler: Compiled 151 700 to 7 136 computations (95.3% saved)

prune350.0ms (2.4%)

Memory

-15.3MiB live, 887.3MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 940	21	1 961
Fresh	10	2	12
Picked	4	1	5
Done	0	0	0
Total	1 954	24	1 978

Accuracy

98.2%

Counts

1 978 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (neg.f64 (.f64 i (+.f64 beta (+.f64 i alpha))))) (.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))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	13.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.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) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
	29.2%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 beta (+.f64 (fma.f64 #s(literal -1/16 binary64) beta (.f64 #s(literal 1/2 binary64) i)) (.f64 #s(literal -1/4 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)))
	32.0%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 beta (.f64 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)))
	12.2%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 i beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	15.9%	(.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 #s(approx (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+.f64 alpha i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	11.5%	(.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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
▶	31.4%	(.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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
	37.0%	(.f64 (.f64 (+.f64 beta (+.f64 i alpha)) (/.f64 i (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (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))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	6.2%	(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) (/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	19.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	29.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
	12.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 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)))))
	13.3%	#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 i)) (.f64 i i)) (.f64 beta beta)))
▶	9.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
	19.3%	#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(literal 1 binary64) (/.f64 beta (/.f64 (*.f64 i (+.f64 i alpha)) beta))))
▶	63.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 (-.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 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i))) i)))
	14.4%	#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))
▶	29.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i 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)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha))))
	14.4%	#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)))))
✓	72.0%	#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))
	12.4%	#s(approx (* (/ (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))))))

Compiler

Compiled 1 395 to 634 computations (54.6% saved)

simplify179.0ms (1.2%)

Memory

-8.1MiB live, 382.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 i (+.f64 i (+.f64 alpha beta)))
cost-diff	0	(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(.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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
cost-diff	384	(/.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)))
cost-diff	0	(*.f64 i (+.f64 i (+.f64 alpha beta)))
cost-diff	0	(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(.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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
cost-diff	384	(/.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)))
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 alpha i)
cost-diff	0	#s(approx (* i (+ alpha i)) (*.f64 alpha i))
cost-diff	0	(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
cost-diff	384	(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 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i))
cost-diff	704	(/.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i)
cost-diff	832	(.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64))))
cost-diff	1408	(fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))

Rules

9 054×	`lower-fma.f32`
9 042×	`lower-fma.f64`
4 912×	`lower-*.f32`
4 888×	`lower-*.f64`
2 878×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1124
0	128	1087
1	311	994
2	1070	880
3	6411	878
0	8101	861

Stop Event

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

Calls

Call 1

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

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

localize740.0ms (5.1%)

Memory

44.4MiB live, 621.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(/.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)))
accuracy	0.11166000976844201	(.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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
accuracy	36.63913216820261	(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	44.90939621329644	#s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta))
accuracy	0.021816259768442016	(/.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)))
accuracy	0.11166000976844201	(.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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
accuracy	17.64644300326403	#s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64))
accuracy	36.63913216820261	(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0	(/.f64 i beta)
accuracy	0	(+.f64 i alpha)
accuracy	0.24904252930532603	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
accuracy	45.13490617831749	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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	0	(*.f64 alpha i)
accuracy	18.81567836278844	(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
accuracy	45.13490617831749	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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 alpha i)) (.f64 beta beta)))
accuracy	60.316892431154514	#s(approx (* i (+ alpha i)) (*.f64 alpha i))
accuracy	7.740447347715339	(/.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)
accuracy	8.226938628462852	(/.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (*.f64 alpha beta))) i)
accuracy	8.47148144536884	(-.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 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i)))
accuracy	18.601073143932723	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta 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 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i))) i)))

Samples

547.0ms	198×	1	valid
55.0ms	40×	2	valid
13.0ms	18×	0	valid

Compiler

Compiled 1 064 to 74 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

adjust: 317.0ms (57.1% of total)

ival-add: 128.0ms (23% of total)

ival-mult: 62.0ms (11.2% of total)

ival-div: 36.0ms (6.5% of total)

ival-sub: 7.0ms (1.3% of total)

ival-neg: 4.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series186.0ms (1.3%)

Memory

-24.4MiB live, 259.8MiB allocated

Counts

24 → 792

Calls

Call 1

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

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

Calls

198 calls:

Time	Variable		Point	Expression
35.0ms	beta	@	-inf	(- (+ (* 1/16 (/ (neg (+ (* (+ alpha beta) (+ alpha beta)) (* alpha beta))) i)) (neg (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8)))) (+ (* -1/256 (/ (+ (* (* (+ alpha beta) (+ alpha beta)) 20) (* (+ (* (+ alpha beta) (+ alpha beta)) -1) 4)) i)) (/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i)))
19.0ms	beta	@	inf	(* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8)))
1.0ms	i	@	0	(+ (* -1/256 (/ (+ (* (* (+ alpha beta) (+ alpha beta)) 20) (* (+ (* (+ alpha beta) (+ alpha beta)) -1) 4)) i)) (/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i))
1.0ms	i	@	0	(/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i)
1.0ms	alpha	@	0	(- (+ (* 1/16 (/ (neg (+ (* (+ alpha beta) (+ alpha beta)) (* alpha beta))) i)) (neg (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8)))) (+ (* -1/256 (/ (+ (* (* (+ alpha beta) (+ alpha beta)) 20) (* (+ (* (+ alpha beta) (+ alpha beta)) -1) 4)) i)) (/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i)))

simplify512.0ms (3.6%)

Memory

53.8MiB live, 712.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 262×	`lower-*.f64`
5 262×	`lower-*.f32`
5 002×	`lower-+.f64`
5 002×	`lower-+.f32`
4 058×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2387	56725
1	7653	56709
0	8005	51718

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 781

Calls

Call 1

Inputs
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 beta) (* 1/8 beta))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(+ (* -1/8 alpha) (* 1/8 alpha))
(* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta))))
(+ (* -2 (* alpha (+ (* -1/8 beta) (* 1/8 beta)))) (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))))
(+ (* -2 (* alpha (+ (* -1/8 beta) (* 1/8 beta)))) (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))))
(+ (* -2 (* alpha (+ (* -1/8 beta) (* 1/8 beta)))) (* -2 (* beta (+ (* -1/8 beta) (* 1/8 beta)))))
(* -2 (* alpha (+ (* -1/8 beta) (* 1/8 beta))))
(* alpha (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha))))
(* alpha (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha))))
(* alpha (+ (* -2 (+ (* -1/8 beta) (* 1/8 beta))) (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha))))
(* -2 (* alpha (+ (* -1/8 beta) (* 1/8 beta))))
(* -1 (* alpha (+ (* 2 (+ (* -1/8 beta) (* 1/8 beta))) (* 2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))))
(* -1 (* alpha (+ (* 2 (+ (* -1/8 beta) (* 1/8 beta))) (* 2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))))
(* -1 (* alpha (+ (* 2 (+ (* -1/8 beta) (* 1/8 beta))) (* 2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))))
(* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))))
(+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (* -2 (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))))
(+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (* -2 (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))))
(+ (* -2 (* alpha (+ (* -1/8 alpha) (* 1/8 alpha)))) (* -2 (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))))
(* -2 (* beta (+ (* -1/8 alpha) (* 1/8 alpha))))
(* beta (+ (* -2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta))))
(* beta (+ (* -2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta))))
(* beta (+ (* -2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta))))
(* -2 (* beta (+ (* -1/8 alpha) (* 1/8 alpha))))
(* -1 (* beta (+ (* 2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* 2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta)))))
(* -1 (* beta (+ (* 2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* 2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta)))))
(* -1 (* beta (+ (* 2 (+ (* -1/8 alpha) (* 1/8 alpha))) (* 2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta)))))
(* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i))
(+ (* -2 (* alpha (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i))))) (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)))
(+ (* -2 (* alpha (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i))))) (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)))
(+ (* -2 (* alpha (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i))))) (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)))
(* -2 (/ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) i))
(* alpha (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))))
(* alpha (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))))
(* alpha (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))))
(* -2 (/ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) i))
(* -1 (* alpha (+ (* 2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))))
(* -1 (* alpha (+ (* 2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))))
(* -1 (* alpha (+ (* 2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))))
(* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i))
(+ (* -2 (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i))))) (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)))
(+ (* -2 (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i))))) (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)))
(+ (* -2 (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i))))) (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)))
(* -2 (/ (* beta (+ (* -1/8 alpha) (* 1/8 alpha))) i))
(* beta (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))))
(* beta (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))))
(* beta (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))))
(* -2 (/ (* beta (+ (* -1/8 alpha) (* 1/8 alpha))) i))
(* -1 (* beta (+ (* 2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))))
(* -1 (* beta (+ (* 2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))))
(* -1 (* beta (+ (* 2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))
(+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)))
(+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* alpha (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i))))))))
(+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* alpha (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (+ (* -3/32 (/ alpha i)) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))))
(+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* alpha (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (+ (* -3/32 (/ alpha i)) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))))
(* -3/32 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))) (* 3/32 (/ 1 i))))
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))))) (* 3/32 (/ 1 i))))
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))))) (* 3/32 (/ 1 i))))
(* -3/32 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))) alpha)) (* 3/32 (/ 1 i))))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 3/32 (/ 1 i))))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 3/32 (/ 1 i))))
(+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)))
(+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* beta (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))))))))
(+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* beta (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (+ (* -3/32 (/ beta i)) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i)))))))))
(+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* beta (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (+ (* -3/32 (/ beta i)) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i)))))))))
(* -3/32 (/ (pow beta 2) i))
(* (pow beta 2) (- (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta))) (* 3/32 (/ 1 i))))
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta))))) (* 3/32 (/ 1 i))))
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta))))) (* 3/32 (/ 1 i))))
(* -3/32 (/ (pow beta 2) i))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))) beta)) (* 3/32 (/ 1 i))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 3/32 (/ 1 i))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 3/32 (/ 1 i))))
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(/ (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) i)
(* -1 (/ (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) i))
(* -1 (/ (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) i))
(* -1 (/ (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) i))
(* -1 (/ (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 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)))
(+ 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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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (* alpha i) (pow beta 2))
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1/16
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1/16
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(/ alpha beta)
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1/4
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1/16
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(/ (* 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))
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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))))
(+ (* 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))
(- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta)))))
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta)))))
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta)))))
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta)))))
(* 1/32 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)))))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2))))))))))
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2))))))))))
(* 1/32 (/ (pow alpha 2) i))
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i))))
(- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* 1/8 alpha)))))
(- (+ (* -1/16 (/ (pow alpha 2) i)) (* beta (- (* -1/16 (+ (* 2 (/ alpha i)) (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i)))))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* 1/8 alpha)))))
(- (+ (* -1/16 (/ (pow alpha 2) i)) (* beta (- (+ (* -1/16 (+ (* 2 (/ alpha i)) (/ alpha i))) (* 1/32 (/ beta i))) (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i)))))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* 1/8 alpha)))))
(- (+ (* -1/16 (/ (pow alpha 2) i)) (* beta (- (+ (* -1/16 (+ (* 2 (/ alpha i)) (/ alpha i))) (* 1/32 (/ beta i))) (+ (* -2 (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (* -1/256 (+ (* 8 (/ alpha i)) (* 40 (/ alpha i)))))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)) (* 1/8 alpha)))))
(* 1/32 (/ (pow beta 2) i))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)))))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2))))))))))
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2))))))))))
(* 1/32 (/ (pow beta 2) i))
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i))))
(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i)
(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta))))))
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta))))))
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta))))))
(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))
(* -1 (/ (pow beta 2) i))
(+ (* -1 (* alpha (+ (* 2 (/ beta i)) (/ beta i)))) (* -1 (/ (pow beta 2) i)))
(+ (* -1 (/ (pow beta 2) i)) (* alpha (+ (* -1 (+ (* 2 (/ beta i)) (/ beta i))) (* -1 (/ alpha i)))))
(+ (* -1 (/ (pow beta 2) i)) (* alpha (+ (* -1 (+ (* 2 (/ beta i)) (/ beta i))) (* -1 (/ alpha i)))))
(* -1 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (/ 1 i)))
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* -1 (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i)))
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* -1 (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i)))
(* -1 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (+ (* -2 (/ beta (* alpha i))) (* -1 (/ beta (* alpha i)))) (/ 1 i)))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (/ (pow beta 2) (* alpha i))) alpha)) (/ 1 i)))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (/ (pow beta 2) (* alpha i))) alpha)) (/ 1 i)))
(* -1 (/ (pow alpha 2) i))
(+ (* -1 (* beta (+ (* 2 (/ alpha i)) (/ alpha i)))) (* -1 (/ (pow alpha 2) i)))
(+ (* -1 (/ (pow alpha 2) i)) (* beta (+ (* -1 (+ (* 2 (/ alpha i)) (/ alpha i))) (* -1 (/ beta i)))))
(+ (* -1 (/ (pow alpha 2) i)) (* beta (+ (* -1 (+ (* 2 (/ alpha i)) (/ alpha i))) (* -1 (/ beta i)))))
(* -1 (/ (pow beta 2) i))
(* (pow beta 2) (- (* -1 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (/ 1 i)))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* -1 (/ (pow alpha 2) (* (pow beta 2) i)))) (/ 1 i)))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* -1 (/ (pow alpha 2) (* (pow beta 2) i)))) (/ 1 i)))
(* -1 (/ (pow beta 2) i))
(* (pow beta 2) (- (+ (* -2 (/ alpha (* beta i))) (* -1 (/ alpha (* beta i)))) (/ 1 i)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i)))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (* 40 (/ beta i))))))
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (+ (* 24 (/ alpha i)) (* 40 (/ beta i)))))))
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (+ (* 24 (/ alpha i)) (* 40 (/ beta i)))))))
(* 24 (/ (pow alpha 2) i))
(* (pow alpha 2) (+ (* 8 (/ beta (* alpha i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))))
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i)))))))
(* 24 (/ (pow alpha 2) i))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) alpha)) (* 24 (/ 1 i))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i))))
(/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) i)
(+ (* 4 (/ (- (pow alpha 2) 1) i)) (+ (* 20 (/ (pow alpha 2) i)) (* beta (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))))))
(+ (* 4 (/ (- (pow alpha 2) 1) i)) (+ (* 20 (/ (pow alpha 2) i)) (* beta (+ (* 8 (/ alpha i)) (+ (* 24 (/ beta i)) (* 40 (/ alpha i)))))))
(+ (* 4 (/ (- (pow alpha 2) 1) i)) (+ (* 20 (/ (pow alpha 2) i)) (* beta (+ (* 8 (/ alpha i)) (+ (* 24 (/ beta i)) (* 40 (/ alpha i)))))))
(* 24 (/ (pow beta 2) i))
(* (pow beta 2) (+ (* 8 (/ alpha (* beta i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i)))))
(* (pow beta 2) (+ (* 4 (/ (- (pow alpha 2) 1) (* (pow beta 2) i))) (+ (* 8 (/ alpha (* beta i))) (+ (* 20 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i)))))))
(* (pow beta 2) (+ (* 4 (/ (- (pow alpha 2) 1) (* (pow beta 2) i))) (+ (* 8 (/ alpha (* beta i))) (+ (* 20 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i)))))))
(* 24 (/ (pow beta 2) i))
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) beta)) (* 24 (/ 1 i))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (+ (* -8 (/ alpha i)) (* -1 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) beta)))) beta)) (* 24 (/ 1 i))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (+ (* -8 (/ alpha i)) (* -1 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) beta)))) beta)) (* 24 (/ 1 i))))
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)
(/ i beta)
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(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
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(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))
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1/4
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)))
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1/4
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(/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))
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(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (* -1 (/ (* (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(/ (+ beta i) alpha)
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha)
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha))
(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))
(+ (* beta (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 alpha) (* 4 i)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))))) (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 3) (pow (- (+ alpha (* 2 i)) 1) 3))) (+ (* -1 (/ (* (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 alpha) (* 4 i)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (- (+ (* 2 alpha) (* 4 i)) 1)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 alpha) (* 4 i)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))))) (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))
(/ (+ alpha i) beta)
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))
(+ (* i (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))))
(+ (* i (- (+ (* i (- (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (- (+ alpha beta) 1))) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))))
(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (* (+ alpha beta) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1)))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (- (+ alpha beta) 1))) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))))
1/4
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)))
(- (+ 1/4 (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2))))))
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2))))))
1/4
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i)))
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i)))
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i)))
(/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))
(+ (* alpha (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (* -1 (/ (* (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(/ (+ beta i) alpha)
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha)
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha))
(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))
(+ (* beta (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 alpha) (* 4 i)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))))) (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 3) (pow (- (+ alpha (* 2 i)) 1) 3))) (+ (* -1 (/ (* (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 alpha) (* 4 i)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (- (+ (* 2 alpha) (* 4 i)) 1)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ i (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 alpha) (* 4 i)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1)))))) (+ (/ alpha (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (/ i (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))) (/ (* i (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))))
(/ (+ alpha i) beta)
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta))

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

rewrite350.0ms (2.4%)

Memory

-49.5MiB live, 416.8MiB allocated

Rules

5 222×	`lower-*.f32`
5 196×	`lower-*.f64`
4 738×	`lower-fma.f32`
4 724×	`lower-fma.f64`
3 016×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	720
0	128	655
1	628	602
2	6243	602
0	8657	586

Stop Event

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

Counts

24 → 549

Calls

Call 1

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

Outputs
(+.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(+.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(-.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))
(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 1/16 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(fma.f64 (+.f64 alpha beta) #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 (+.f64 alpha beta) #s(literal 1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/16 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (neg.f64 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) #s(literal -1 binary64) (.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) #s(literal -1 binary64) (.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (neg.f64 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(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 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))
(fma.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) #s(literal 2 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))
(neg.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64))) (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64))) (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (neg.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64)))) (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64)))) (neg.f64 (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 0 binary64) (.f64 #s(literal 0 binary64) (.f64 (+.f64 alpha beta) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 0 binary64))) (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64)))) (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64))) (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 alpha beta) #s(literal 0 binary64))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)))
(.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (-.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 1/64 binary64)))))
(.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))
(+.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(+.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(+.f64 (neg.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))))) (neg.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 alpha #s(literal -2 binary64))) (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 beta #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64))) (.f64 (.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 0 binary64))))
(fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -2 binary64) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 alpha #s(literal -2 binary64)) (.f64 (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (*.f64 beta #s(literal -2 binary64))))
(fma.f64 (.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (.f64 (.f64 beta #s(literal -2 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 0 binary64))))
(fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64))))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)) i)
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)) (.f64 (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 16 binary64)) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 8000 binary64))) (/.f64 #s(literal 1 binary64) i)) (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)) (-.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 400 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 400 binary64)) (.f64 (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) i)) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (*.f64 #s(literal -4 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
(pow.f64 (/.f64 i (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64))) i))
(.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 i (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)) (.f64 (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 16 binary64)) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 8000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)) (-.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) #s(literal -4 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)))) (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 400 binary64)))))
(.f64 (pow.f64 (/.f64 i (-.f64 (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 400 binary64)) (.f64 (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) #s(literal 20 binary64)) (*.f64 #s(literal -4 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
(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) (neg.f64 (/.f64 beta i)))
(/.f64 #s(literal 1 binary64) (/.f64 beta i))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta i) #s(literal 1 binary64)))
(/.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)))
(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 (neg.f64 i) (/.f64 #s(literal 1 binary64) (neg.f64 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)))
#s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64))
#s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta))

eval359.0ms (2.5%)

Memory: 70.4MiB live, 586.1MiB allocated
Compiler: Compiled 122 580 to 5 351 computations (95.6% saved)

prune651.0ms (4.5%)

Memory

-65.4MiB live, 652.9MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 587	18	1 605
Fresh	6	12	18
Picked	4	1	5
Done	0	1	1
Total	1 597	32	1 629

Accuracy

98.3%

Counts

1 629 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (neg.f64 (.f64 i (+.f64 beta (+.f64 i alpha))))) (.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))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	13.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.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) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
	12.2%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 i beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	29.7%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
	27.4%	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 i (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i (+.f64 beta alpha)))))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
	13.5%	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
▶	72.0%	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
	37.0%	(.f64 (.f64 (+.f64 beta (+.f64 i alpha)) (/.f64 i (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (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))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	6.3%	(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
▶	5.3%	(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
▶	6.2%	(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) (/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	29.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
	19.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	10.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 alpha i)) beta) beta))
	29.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) (neg.f64 i)) (neg.f64 beta)))
	29.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
▶	20.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
	12.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 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)))))
	13.3%	#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 i)) (.f64 i i)) (.f64 beta beta)))
✓	9.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
	29.1%	#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(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i))))
	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 #s(approx (- (+ (* 1/16 (/ (neg (+ (* (+ alpha beta) (+ alpha beta)) (* alpha beta))) i)) (neg (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8)))) (+ (* -1/256 (/ (+ (* (* (+ alpha beta) (+ alpha beta)) 20) (* (+ (* (+ alpha beta) (+ alpha beta)) -1) 4)) i)) (/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 beta beta)) i)) i)))
	14.4%	#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))
	29.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
▶	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)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha))))
	21.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
	28.2%	#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 i beta)) (/.f64 i beta)))
	10.3%	#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 alpha beta)) (/.f64 i beta)))
	28.1%	#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) beta) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta)))
✓	72.0%	#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))
	12.4%	#s(approx (* (/ (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))))

Compiler

Compiled 1 353 to 670 computations (50.5% saved)

simplify279.0ms (1.9%)

Memory

48.8MiB live, 308.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

10 934×	`lower-fma.f32`
10 930×	`lower-fma.f64`
4 716×	`lower-+.f32`
4 708×	`lower-+.f64`
4 354×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	649
0	94	637
1	255	627
2	913	602
3	4668	565
4	6306	565
5	7942	565
0	8444	565

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.3%)

Memory

-12.1MiB live, 270.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5107941559880059	(/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	7.545397091821973	(.f64 beta (.f64 i (+.f64 alpha i)))
accuracy	24.829837404729705	#s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i))))
accuracy	49.1225117340239	(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) (/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	0	(*.f64 (+.f64 alpha i) #s(literal 1 binary64))
accuracy	0.13671875	(*.f64 beta (/.f64 beta i))
accuracy	6.374965646759215	(/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i)))
accuracy	45.13490617831749	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
accuracy	0	(*.f64 beta beta)
accuracy	0.24061955072803998	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
accuracy	18.815675092534967	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha)))
accuracy	45.13490617831749	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha))))
accuracy	0	(/.f64 i beta)
accuracy	0.11166000976844201	(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
accuracy	17.646443003264025	#s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64))
accuracy	44.90759382483618	#s(approx (/ (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta))
accuracy	0.021816259768442016	(/.f64 #s(approx (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (*.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)))
accuracy	0.11166000976844201	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
accuracy	15.778748823843276	#s(approx (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (*.f64 #s(literal 1/2 binary64) i))
accuracy	17.646443003264025	#s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64))

Samples

135.0ms

256×

valid

Compiler

Compiled 620 to 57 computations (90.8% saved)

Precisions

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

ival-mult: 58.0ms (51.9% of total)

ival-add: 32.0ms (28.7% of total)

ival-div: 20.0ms (17.9% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series128.0ms (0.9%)

Memory

-14.8MiB live, 109.0MiB allocated

Counts

22 → 660

Calls

Call 1

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

165 calls:

Time	Variable		Point	Expression
0.0ms	i	@	-inf	(* beta (* i (+ alpha i)))
0.0ms	beta	@	inf	(* beta (/ beta i))
0.0ms	i	@	inf	(* beta (* i (+ alpha i)))
0.0ms	i	@	0	(* beta (/ beta i))
0.0ms	i	@	inf	(* 1/2 i)

simplify618.0ms (4.3%)

Memory

-15.3MiB live, 913.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 238×	`lower-*.f64`
5 238×	`lower-*.f32`
5 076×	`lower-+.f64`
5 076×	`lower-+.f32`
4 010×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2523	57145
0	8018	51965

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 643

Calls

Call 1

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

Outputs
(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 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))
(/.f64 (-.f64 (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 i (+.f64 alpha i))) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 #s(literal 4 binary64) alpha (.f64 #s(literal 8 binary64) i))) beta)) (.f64 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) (+ (* 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))
(/.f64 (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 4 binary64) alpha (.f64 #s(literal 8 binary64) i))) beta) (fma.f64 (fma.f64 #s(literal 4 binary64) alpha (.f64 #s(literal 8 binary64) i)) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 #s(literal 4 binary64) alpha (.f64 #s(literal 8 binary64) i))))) (.f64 beta beta)) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (+.f64 (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)))) #s(literal -1 binary64))) (.f64 beta beta))))) (*.f64 beta beta))
(/ (- (+ (* -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)))
(/.f64 (.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha))) (.f64 beta beta))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 6 binary64) #s(literal -1 binary64)))))) beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha)))))) beta))) (.f64 beta beta))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 6 binary64) #s(literal -1 binary64))))))) beta) (+.f64 (neg.f64 (/.f64 (.f64 i (.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) (+.f64 (neg.f64 i) (neg.f64 alpha)))) beta)) (fma.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 6 binary64) #s(literal -1 binary64)) beta) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 6 binary64) #s(literal -1 binary64)))))) beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha)))))) beta))) (.f64 beta beta))
(* 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 (.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha 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)))))))
(.f64 i (fma.f64 i (+.f64 (+.f64 (+.f64 alpha beta) (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (+.f64 alpha beta))) (.f64 i (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal -2 binary64) (/.f64 (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 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 (.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta)))) (*.f64 alpha beta)))
(* 1/2 (pow i 3))
(.f64 #s(literal 1/2 binary64) (.f64 i (*.f64 i i)))
(* (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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)) i)))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ 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 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)))) (*.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 (+.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/4 binary64) (+.f64 alpha beta))) (.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 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/4 binary64) (+.f64 alpha beta))))))) (.f64 i (.f64 i i)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) i))))
(* 1/2 (pow i 3))
(.f64 #s(literal 1/2 binary64) (.f64 i (*.f64 i i)))
(* -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 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) i) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i) #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)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))) i))) i)) #s(literal -1/2 binary64))))
(* -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)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) i)) (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))))))) i))) i))) i)) #s(literal -1/2 binary64))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i 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 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i 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 (fma.f64 alpha (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (.f64 i (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (.f64 i (+.f64 beta i)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (.f64 i (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i beta))))
(* alpha (* i (+ beta i)))
(.f64 alpha (.f64 i (+.f64 beta i)))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ 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 #s(literal 2 binary64) i 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 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 alpha alpha))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i beta) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i 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 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 alpha alpha))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i 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))))))
(neg.f64 (.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)) (neg.f64 (.f64 i (+.f64 beta i))))) (neg.f64 (.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i 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)) (neg.f64 (.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 #s(literal 2 binary64) i beta) (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (.f64 i (+.f64 beta i))))) (neg.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (neg.f64 beta) (neg.f64 i)))))))) alpha))) (neg.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i 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)) (neg.f64 (.f64 i (+.f64 beta i)))) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (.f64 i (+.f64 beta i))))) (neg.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (neg.f64 beta) (neg.f64 i))))))))) alpha))) (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (.f64 i (+.f64 beta i))))) (neg.f64 (.f64 (.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (neg.f64 beta) (neg.f64 i)))))))) alpha))) (neg.f64 (.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i alpha)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i 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 (-.f64 (fma.f64 beta (-.f64 (fma.f64 i (/.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i 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 (-.f64 (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 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) (fma.f64 i (/.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i 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 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 i (+.f64 alpha i))) (/.f64 (.f64 (*.f64 i (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i 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 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)))) (.f64 beta beta)) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i 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 #s(literal 2 binary64) i alpha) (fma.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha))))))) (.f64 beta (.f64 beta beta)))) (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)))) (.f64 beta beta)) (/.f64 (.f64 (*.f64 i (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i alpha)) beta)))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 beta (.f64 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 #s(literal 2 binary64) i 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))))))
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(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ 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))))))
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(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 beta (.f64 i (+.f64 alpha i)))
(* alpha (* beta i))
(.f64 alpha (.f64 beta i))
(* i (+ (* alpha beta) (* beta i)))
(.f64 i (fma.f64 alpha beta (.f64 beta i)))
(* i (+ (* alpha beta) (* beta i)))
(.f64 i (fma.f64 alpha beta (.f64 beta i)))
(* i (+ (* alpha beta) (* beta i)))
(.f64 i (fma.f64 alpha beta (.f64 beta i)))
(* beta (pow i 2))
(.f64 beta (.f64 i i))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 (.f64 i i) (fma.f64 alpha (/.f64 beta i) beta))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 (.f64 i i) (fma.f64 alpha (/.f64 beta i) beta))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 (.f64 i i) (fma.f64 alpha (/.f64 beta i) beta))
(* beta (pow i 2))
(.f64 beta (.f64 i i))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 (.f64 i i) (fma.f64 alpha (/.f64 beta i) beta))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 (.f64 i i) (fma.f64 alpha (/.f64 beta i) beta))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 (.f64 i i) (fma.f64 alpha (/.f64 beta i) beta))
(* beta (pow i 2))
(.f64 beta (.f64 i i))
(+ (* alpha (* beta i)) (* beta (pow i 2)))
(fma.f64 alpha (.f64 beta i) (.f64 beta (*.f64 i i)))
(+ (* alpha (* beta i)) (* beta (pow i 2)))
(fma.f64 alpha (.f64 beta i) (.f64 beta (*.f64 i i)))
(+ (* alpha (* beta i)) (* beta (pow i 2)))
(fma.f64 alpha (.f64 beta i) (.f64 beta (*.f64 i i)))
(* alpha (* beta i))
(.f64 alpha (.f64 beta i))
(* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha)))
(.f64 alpha (fma.f64 beta i (.f64 beta (/.f64 (*.f64 i i) alpha))))
(* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha)))
(.f64 alpha (fma.f64 beta i (.f64 beta (/.f64 (*.f64 i i) alpha))))
(* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha)))
(.f64 alpha (fma.f64 beta i (.f64 beta (/.f64 (*.f64 i i) alpha))))
(* alpha (* beta i))
(.f64 alpha (.f64 beta i))
(* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha)))))
(.f64 (neg.f64 alpha) (fma.f64 (neg.f64 beta) i (neg.f64 (.f64 beta (/.f64 (*.f64 i i) alpha)))))
(* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha)))))
(.f64 (neg.f64 alpha) (fma.f64 (neg.f64 beta) i (neg.f64 (.f64 beta (/.f64 (*.f64 i i) alpha)))))
(* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha)))))
(.f64 (neg.f64 alpha) (fma.f64 (neg.f64 beta) i (neg.f64 (.f64 beta (/.f64 (*.f64 i i) alpha)))))
(* alpha i)
(*.f64 alpha i)
(* i (+ alpha i))
(*.f64 i (+.f64 alpha i))
(* i (+ alpha i))
(*.f64 i (+.f64 alpha i))
(* i (+ alpha i))
(*.f64 i (+.f64 alpha i))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (/ alpha i)))
(.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (/.f64 alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (/.f64 alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (/.f64 alpha i)))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (/ alpha i)))
(.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (/.f64 alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (/.f64 alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (/.f64 alpha i)))
(pow i 2)
(*.f64 i i)
(+ (* alpha i) (pow i 2))
(*.f64 i (+.f64 alpha i))
(+ (* alpha i) (pow i 2))
(*.f64 i (+.f64 alpha i))
(+ (* alpha i) (pow i 2))
(*.f64 i (+.f64 alpha i))
(* alpha i)
(*.f64 alpha i)
(* alpha (+ i (/ (pow i 2) alpha)))
(.f64 alpha (+.f64 i (/.f64 (.f64 i i) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(.f64 alpha (+.f64 i (/.f64 (.f64 i i) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(.f64 alpha (+.f64 i (/.f64 (.f64 i i) alpha)))
(* alpha i)
(*.f64 alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(neg.f64 (.f64 alpha (+.f64 (neg.f64 i) (neg.f64 (/.f64 (.f64 i i) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(neg.f64 (.f64 alpha (+.f64 (neg.f64 i) (neg.f64 (/.f64 (.f64 i i) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(neg.f64 (.f64 alpha (+.f64 (neg.f64 i) (neg.f64 (/.f64 (.f64 i i) alpha)))))
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
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(/ (pow beta 2) i)
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(/ (pow beta 2) i)
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(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ (pow beta 2) i)
(/.f64 (*.f64 beta beta) i)
(/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(+ (* -1 (* i (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (* -1 (/ (* (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 8 (/ 1 (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 12 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))))) (+ (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))
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binary64) i alpha)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 i (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)))))
(/ 1 (pow beta 3))
(/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta)))
(/ (+ 1 (* -1 (/ (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) beta))) (pow beta 3))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) beta))) (.f64 beta (*.f64 beta beta)))
(/ (- (+ 1 (/ 1 (pow beta 2))) (+ (* -1 (/ (pow (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (pow beta 3))
(/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (neg.f64 (/.f64 (.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha)))) (.f64 beta beta)))) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 beta beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 beta beta))))))) (.f64 beta (*.f64 beta beta)))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (+ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- 1 (+ (* -1 (pow (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 2)) (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))))))) (pow beta 3))) (/ 1 (pow beta 2)))) (+ (* -1 (/ (pow (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow beta 2)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))))) (pow beta 3))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) (-.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (neg.f64 (.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))))))) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) (.f64 beta (.f64 beta beta))))) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha)))) (.f64 beta beta))) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 4 binary64) i)) (.f64 beta beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 beta beta))))))))) (.f64 beta (*.f64 beta beta)))
(/ 1 (pow beta 3))
(/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta)))
(* -1 (/ (- (+ (* 2 (/ i beta)) (+ (* 2 (/ (+ alpha (* 2 i)) beta)) (/ alpha beta))) 1) (pow beta 3)))
(neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 alpha beta))) #s(literal -1 binary64)) (.f64 beta (.f64 beta beta))))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ alpha (* 2 i)) 2) beta)) (+ (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta)) (/ (pow (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 2) beta))) (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) beta))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha)) beta)) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha)) beta)) #s(literal -1 binary64)) (.f64 beta (.f64 beta beta))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) beta) (+ (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)))) beta) (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (+ (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)) (pow (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 2)))) beta))) (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (+ (* -1 (- (pow (+ alpha (* 2 i)) 2) 1)) (pow (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 2)))) beta)) (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) beta)) 1) (pow beta 3)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) beta) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) beta) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (fma.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))))) beta))) (fma.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)))))) beta)) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha)) beta)) #s(literal -1 binary64)) (.f64 beta (.f64 beta beta))))

rewrite424.0ms (2.9%)

Memory

21.2MiB live, 607.3MiB allocated

Rules

6 038×	`lower-fma.f32`
6 034×	`lower-fma.f64`
5 376×	`lower-/.f32`
5 364×	`lower-/.f64`
5 248×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	521
0	94	481
1	491	469
2	4515	469
0	11158	462

Stop Event

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

Counts

22 → 543

Calls

Call 1

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

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

eval285.0ms (2%)

Memory: 4.3MiB live, 362.1MiB allocated
Compiler: Compiled 86 414 to 3 691 computations (95.7% saved)

prune254.0ms (1.8%)

Memory

27.4MiB live, 496.7MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 278	9	1 287
Fresh	5	20	25
Picked	2	3	5
Done	0	2	2
Total	1 285	34	1 319

Accuracy

98.3%

Counts

1 319 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (.f64 (fma.f64 alpha beta (.f64 i (+.f64 beta (+.f64 i alpha)))) (neg.f64 (.f64 i (+.f64 beta (+.f64 i alpha))))) (.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))) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	13.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.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) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
	12.2%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 i beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	29.7%	(.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
	27.4%	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 i (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i (+.f64 beta alpha)))))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
	13.5%	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
✓	72.0%	(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
	37.0%	(.f64 (.f64 (+.f64 beta (+.f64 i alpha)) (/.f64 i (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (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))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	6.3%	(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
✓	5.3%	(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
	5.3%	(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (.f64 (/.f64 #s(literal 1 binary64) beta) i)) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
	5.7%	(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) #s(approx (/ 1 (* (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1) (+ (* i 2) (+ alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) beta))) (.f64 beta (*.f64 beta beta)))))
	6.2%	(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) #s(approx (/ 1 (* (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1) (+ (* i 2) (+ alpha beta)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))))
	21.6%	#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 (+.f64 i alpha) beta) beta) (/.f64 #s(literal 1 binary64) i)))
	29.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 i alpha) (/.f64 beta i)) beta))
	19.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	10.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 alpha i)) beta) beta))
	20.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 beta (/.f64 beta i))))
	29.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
	12.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 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)))))
	13.3%	#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 i)) (.f64 i i)) (.f64 beta beta)))
✓	9.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
	29.1%	#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(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i))))
	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 #s(approx (- (+ (* 1/16 (/ (neg (+ (* (+ alpha beta) (+ alpha beta)) (* alpha beta))) i)) (neg (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8)))) (+ (* -1/256 (/ (+ (* (* (+ alpha beta) (+ alpha beta)) 20) (* (+ (* (+ alpha beta) (+ alpha beta)) -1) 4)) i)) (/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 beta beta)) i)) i)))
	21.6%	#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 (+.f64 i alpha) beta) beta) i))
	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)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) beta) beta) (.f64 i (+.f64 i alpha))))
	14.4%	#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))
	29.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
✓	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)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha))))
	28.2%	#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 i beta)) (/.f64 i beta)))
	10.3%	#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 alpha beta)) (/.f64 i beta)))
✓	72.0%	#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))
	12.4%	#s(approx (* (/ (/ (* i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))))

Compiler

Compiled 2 497 to 656 computations (73.7% saved)

regimes91.0ms (0.6%)

Memory

-2.5MiB live, 161.0MiB allocated

Counts

66 → 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))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (/.f64 #s(approx (* i (+ alpha 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 i)) (.f64 i i)) (.f64 beta beta)))
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(/.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 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.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 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 (+.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 (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal -1/8 binary64)))) i))) i)))
(/.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 alpha (/.f64 beta (+.f64 alpha beta)) (.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 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Outputs

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

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

Calls

4 calls:

28.0ms	alpha
21.0ms	beta
19.0ms	i
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)))

Results

Accuracy	Segments	Branch
75.0%	2	`alpha`
88.6%	2	`beta`
80.2%	2	`i`
78.0%	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)

regimes17.0ms (0.1%)

Memory

-2.8MiB live, 33.4MiB allocated

Counts

43 → 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))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (/.f64 #s(approx (* i (+ alpha 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 i)) (.f64 i i)) (.f64 beta beta)))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (.f64 (/.f64 #s(literal 1 binary64) beta) i)) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (.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 alpha i)) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.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 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) 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 (/.f64 i beta) (+.f64 i alpha)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 beta (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) (neg.f64 i)) (neg.f64 beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.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 (/.f64 (/.f64 #s(literal 1 binary64) beta) beta) (.f64 i (+.f64 i alpha))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (+ (* 1/16 (/ (neg (+ (* (+ alpha beta) (+ alpha beta)) (* alpha beta))) i)) (neg (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8)))) (+ (* -1/256 (/ (+ (* (* (+ alpha beta) (+ alpha beta)) 20) (* (+ (* (+ alpha beta) (+ alpha beta)) -1) 4)) i)) (/ (* (* -2 (+ alpha beta)) (+ (* 1/16 (* 2 (+ alpha beta))) (* (+ alpha beta) -1/8))) i))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 beta beta)) i)) i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) #s(literal 1 binary64)) (.f64 beta (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 i alpha) (/.f64 beta i)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (*.f64 i (+.f64 i alpha)) beta))))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) (/.f64 #s(literal 1 binary64) i)))
(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 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)) (.f64 #s(approx (/ (+ i alpha) beta) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta)))
(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) #s(approx (/ 1 (* (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1) (+ (* i 2) (+ alpha beta)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))))
(.f64 (/.f64 (/.f64 (.f64 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))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 beta (.f64 i #s(literal 1/4 binary64)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 i (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i (+.f64 beta alpha)))))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta)))
(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) (/.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)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(.f64 #s(approx (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 beta (.f64 i (+.f64 alpha i)))) #s(approx (/ 1 (* (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1) (+ (* i 2) (+ alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 6 binary64) (.f64 #s(literal 2 binary64) alpha))) beta))) (.f64 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)))) #s(approx (/ (* (* i i) (* (+ beta i) (+ beta i))) (* (+ (* i 2) beta) (+ (* i 2) beta))) (.f64 (.f64 i i) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 i beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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)))))

Outputs

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

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

Calls

1 calls:

14.0ms

beta

Results

Accuracy	Segments	Branch
88.6%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-16.1MiB live, 18.9MiB allocated

Counts

22 → 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))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (/.f64 #s(approx (* i (+ alpha 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 i)) (.f64 i i)) (.f64 beta beta)))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (.f64 (/.f64 #s(literal 1 binary64) beta) i)) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (.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 alpha i)) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.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 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) 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 (/.f64 i beta) (+.f64 i alpha)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 beta (/.f64 beta i))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
(.f64 (/.f64 #s(approx (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (.f64 #s(literal 1/2 binary64) i)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) (neg.f64 i)) (neg.f64 beta)))

Outputs

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
88.5%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
88.5%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-10.9MiB live, 24.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
88.1%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

30.9MiB live, 30.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

beta

3.0ms

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

Results

Accuracy	Segments	Branch
74.4%	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)))`
73.8%	2	`i`
77.5%	2	`beta`

Compiler

Compiled 64 to 23 computations (64.1% saved)

regimes34.0ms (0.2%)

Memory

-37.9MiB live, 8.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

33.0ms

beta

Results

Accuracy	Segments	Branch
77.1%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB 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))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i beta)) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #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)) (/.f64 #s(approx (* i (+ alpha 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 i)) (.f64 i i)) (.f64 beta beta)))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (.f64 (/.f64 #s(literal 1 binary64) beta) i)) #s(approx (/ (/ (+ ( i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))
(.f64 #s(approx (/ (/ ( i (+ i (+ alpha beta))) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) 1)) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) #s(literal 1/4 binary64)))

Outputs

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
77.1%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory

15.9MiB live, 15.9MiB allocated

Accuracy

Total -43.1b remaining (-240.8%)

Threshold costs -43.1b (-240.8%)

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))

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.0%	1	`i`
72.0%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
72.0%	1	`alpha`
72.0%	1	`beta`

Compiler

Compiled 68 to 26 computations (61.8% saved)

bsearch29.0ms (0.2%)

Memory

-17.3MiB live, 21.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.665929100616652e+215	2.7614483673880543e+215

Samples

25.0ms

64×

valid

Compiler

Compiled 219 to 115 computations (47.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (51% of total)

ival-div: 1.0ms (25.5% of total)

ival-add: 1.0ms (25.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.665929100616652e+215	2.7614483673880543e+215

Compiler

Compiled 147 to 83 computations (43.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.665929100616652e+215	2.7614483673880543e+215

Compiler

Compiled 139 to 75 computations (46% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.665929100616652e+215	2.7614483673880543e+215

Compiler

Compiled 139 to 75 computations (46% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.665929100616652e+215	2.7614483673880543e+215

Compiler

Compiled 135 to 67 computations (50.4% saved)

bsearch23.0ms (0.2%)

Memory

-8.6MiB live, 30.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.296263708947209e+240	1.0100802642853405e+242

Samples

9.0ms

112×

valid

Compiler

Compiled 192 to 107 computations (44.3% saved)

Precisions

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

ival-mult: 3.0ms (44.8% of total)

ival-add: 2.0ms (29.9% of total)

ival-div: 1.0ms (14.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.296263708947209e+240	1.0100802642853405e+242

Compiler

Compiled 199 to 114 computations (42.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.296263708947209e+240	1.0100802642853405e+242

Compiler

Compiled 192 to 107 computations (44.3% saved)

simplify11.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	1041
1	103	1041

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 alpha i) beta))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 (+.f64 i (+.f64 beta alpha)) (/.f64 i (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (+ (* i 2) (+ alpha beta))) (+ (+ (* i 2) (+ alpha beta)) -1)) (/.f64 (+.f64 i alpha) beta))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 i (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) (/.f64 i beta)) beta)))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 170000000000000008999816603898601055635544283479684697456231558450855490998214421285430175647738497617465653368831175297045316593262179130709328256168519439880009688807940154729844955518388019207022835362834870697984 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ i alpha) beta) (/.f64 i beta)))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ i alpha) beta) (/.f64 alpha beta)))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 i alpha) (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))))
(if (<=.f64 beta #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i alpha)) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness1.5s (10.4%)

Memory

-82.9MiB live, 892.7MiB allocated

Rules

9 164×	`lower-fma.f64`
9 164×	`lower-fma.f32`
5 962×	`lower-+.f64`
5 962×	`lower-+.f32`
5 456×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	157
0	29	127
1	146	127
2	1503	127
0	8201	117
0	1089	12630
1	3841	11840
0	8260	10972
0	2387	56725
1	7653	56709
0	8005	51718
0	81	720
0	128	655
1	628	602
2	6243	602
0	8657	586
0	3602	59528
0	8133	57161
0	58	602
0	97	493
1	516	483
2	5066	477
0	8842	477

Stop Event

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

Compiler

Compiled 553 to 246 computations (55.5% saved)

preprocess83.0ms (0.6%)

Memory: 35.7MiB live, 110.2MiB allocated
Compiler: Compiled 494 to 166 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze19.0ms (0.1%)

sample1.5s (10.6%)

explain525.0ms (3.6%)

preprocess273.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify278.0ms (1.9%)

localize53.0ms (0.4%)

series62.0ms (0.4%)

simplify640.0ms (4.4%)

rewrite592.0ms (4.1%)

eval216.0ms (1.5%)

prune327.0ms (2.3%)

simplify267.0ms (1.9%)

localize193.0ms (1.3%)

series357.0ms (2.5%)

simplify944.0ms (6.6%)

rewrite426.0ms (3%)

eval347.0ms (2.4%)

prune350.0ms (2.4%)

simplify179.0ms (1.2%)

localize740.0ms (5.1%)

series186.0ms (1.3%)

simplify512.0ms (3.6%)

rewrite350.0ms (2.4%)

eval359.0ms (2.5%)

prune651.0ms (4.5%)

simplify279.0ms (1.9%)

localize194.0ms (1.3%)

series128.0ms (0.9%)

simplify618.0ms (4.3%)

rewrite424.0ms (2.9%)

eval285.0ms (2%)

prune254.0ms (1.8%)

regimes91.0ms (0.6%)

regimes17.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes34.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch23.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.5s (10.4%)

preprocess83.0ms (0.6%)

end0.0ms (0%)

Profiling