Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze15.0ms (0.1%)

Memory

26.5MiB live, 26.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.9s (16.6%)

Memory

39.0MiB live, 2 411.6MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

ival-add: 265.0ms (31.3% of total)

ival-mult: 256.0ms (30.3% of total)

ival-div: 143.0ms (16.9% of total)

ival->: 76.0ms (9% of total)

ival-sub: 66.0ms (7.8% of total)

ival-and: 18.0ms (2.1% of total)

exact: 17.0ms (2% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain313.0ms (2.7%)

Memory

-4.1MiB live, 465.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
216	-	-	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`
164	-	-	`(/.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	179	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	161
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	320
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	179
`/.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	139	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	161
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	320
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	179
↳	`(/.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	139
↳	`(-.f64 (.f64 (+.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	179
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	179
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/n	37	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	161
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	320
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	n/o	25	0
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	179
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	179

Confusion

	Predicted +	Predicted -
+	216	0
-	0	40

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	40
1	52
2	164

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	510×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 423 to 55 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 28.0ms (60% of total)

ival-add: 10.0ms (21.4% of total)

ival-div: 6.0ms (12.8% of total)

ival-sub: 2.0ms (4.3% of total)

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

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

preprocess219.0ms (1.9%)

Memory

-7.0MiB live, 218.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 53 to 17 computations (67.9% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

16.0%

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

Compiler

Compiled 53 to 17 computations (67.9% saved)

simplify145.0ms (1.3%)

Memory

-1.8MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (0.4%)

Memory

-5.1MiB live, 81.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.09375	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	39.54323782135983	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	45.81341608151035	(/.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

33.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (42.2% of total)

ival-add: 5.0ms (30.1% of total)

ival-div: 3.0ms (18.1% of total)

ival-sub: 1.0ms (6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

-14.4MiB live, 133.1MiB allocated

Counts

7 → 164

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	beta	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
8.0ms	beta	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
7.0ms	i	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
6.0ms	alpha	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
5.0ms	alpha	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))

simplify274.0ms (2.4%)

Memory

14.3MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

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

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

rewrite254.0ms (2.2%)

Memory

7.4MiB live, 324.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 862

Calls

Call 1

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

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

eval244.0ms (2.1%)

Memory: 19.4MiB live, 301.5MiB allocated
Compiler: Compiled 132 213 to 5 964 computations (95.5% saved)

prune699.0ms (6.1%)

Memory

-137.6MiB live, 140.7MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1 620	13	1 633
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 621	13	1 634

Accuracy

98.9%

Counts

1 634 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) ( 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i))) #s(literal 1 binary64)))
	16.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	20.5%	(/.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))))
	32.3%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	12.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	26.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	31.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	38.8%	(.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	32.2%	(.f64 i (.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))))
	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 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) i (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta)))
▶	30.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
▶	70.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 572 to 632 computations (59.8% saved)

simplify204.0ms (1.8%)

Memory

28.0MiB live, 216.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	1003
0	113	1003
1	239	956
2	887	898
3	6362	888
0	8145	865

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (1.5%)

Memory

-14.3MiB live, 295.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i)
accuracy	0.09375	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	39.54323782135983	(/.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)) #s(approx (+ (+ alpha beta) ( 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i))) #s(literal 1 binary64)))
accuracy	45.81341608151035	(/.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))))
accuracy	9.44063962957869	(/.f64 (*.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta)
accuracy	30.769341346378923	(-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))
accuracy	39.47349264749853	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))))
accuracy	39.54323782135983	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.04296875	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))
accuracy	13.053009841062368	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i)))
accuracy	39.54323782135983	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) i)) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 alpha i)
accuracy	0.00390625	(/.f64 (+.f64 alpha i) beta)
accuracy	0.23894501953688405	(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))
accuracy	18.595319734003784	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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

119.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 864 to 49 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 23.0ms (35.8% of total)

ival-add: 18.0ms (28% of total)

ival-div: 12.0ms (18.7% of total)

ival-sub: 11.0ms (17.1% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series83.0ms (0.7%)

Memory

6.6MiB live, 257.4MiB allocated

Counts

23 → 277

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	alpha	@	inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (/ (+ beta alpha) i) 2) i))
12.0ms	alpha	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (/ (+ beta alpha) i) 2) i))
8.0ms	i	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (/ (+ beta alpha) i) 2) i))
8.0ms	beta	@	0	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (/ (+ beta alpha) i) 2) i))
8.0ms	beta	@	-inf	((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (- (* 2 (+ beta alpha)) (+ beta alpha)) (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (/ (+ beta alpha) i) 2) i))

simplify503.0ms (4.4%)

Memory

-30.3MiB live, 223.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1491	13161
1	5500	12928
0	8134	11875

Stop Event

1×	iter limit
1×	node limit

Counts

277 → 274

Calls

Call 1

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

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

rewrite218.0ms (1.9%)

Memory

51.3MiB live, 141.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	691
0	113	599
1	441	563
2	4068	563
0	8238	550

Stop Event

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

Counts

23 → 446

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)))
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta))
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))
(*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))
(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
(.f64 i (/.f64 (+.f64 alpha i) (.f64 beta beta)))
(/.f64 (*.f64 (neg.f64 i) (/.f64 (+.f64 alpha i) beta)) (neg.f64 beta))
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (/.f64 i beta)) (neg.f64 beta))
(/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) (neg.f64 i)) (neg.f64 beta))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i)) (neg.f64 beta))
(/.f64 (.f64 (neg.f64 i) (neg.f64 (+.f64 alpha i))) (.f64 beta beta))
(/.f64 (.f64 (neg.f64 i) (+.f64 alpha i)) (.f64 (neg.f64 beta) beta))
(/.f64 (.f64 i (neg.f64 (+.f64 alpha i))) (.f64 beta (neg.f64 beta)))
(/.f64 (.f64 (neg.f64 (+.f64 alpha i)) (neg.f64 i)) (.f64 beta beta))
(/.f64 (.f64 (neg.f64 (+.f64 alpha i)) i) (.f64 (neg.f64 beta) beta))
(/.f64 (.f64 (+.f64 alpha i) (neg.f64 i)) (.f64 beta (neg.f64 beta)))
(/.f64 (neg.f64 (.f64 (+.f64 alpha i) i)) (neg.f64 (.f64 beta beta)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
(/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))
(fma.f64 (/.f64 alpha beta) (/.f64 i beta) (pow.f64 (/.f64 i beta) #s(literal 2 binary64)))
(fma.f64 (/.f64 i beta) (/.f64 alpha beta) (pow.f64 (/.f64 i beta) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 i beta) (/.f64 alpha beta)) (pow.f64 (/.f64 i beta) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 alpha beta) (/.f64 i beta)) (pow.f64 (/.f64 i beta) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (/.f64 i beta) #s(literal 2 binary64))) (-.f64 (/.f64 alpha beta) (/.f64 i beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (/.f64 i beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 i beta) #s(literal 2 binary64)) (*.f64 (/.f64 alpha beta) (/.f64 i beta)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 alpha i))) (neg.f64 (neg.f64 beta)))
(/.f64 (fma.f64 alpha (neg.f64 beta) (.f64 beta (neg.f64 i))) (.f64 beta (neg.f64 beta)))
(/.f64 (fma.f64 beta alpha (.f64 beta i)) (.f64 beta beta))
(/.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (.f64 (-.f64 alpha i) beta))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) beta))
(/.f64 (neg.f64 (+.f64 alpha i)) (neg.f64 beta))
(/.f64 (+.f64 alpha i) beta)
(neg.f64 (/.f64 (neg.f64 (+.f64 alpha i)) beta))
(neg.f64 (/.f64 (+.f64 alpha i) (neg.f64 beta)))
(+.f64 (/.f64 alpha beta) (/.f64 i beta))
(+.f64 (/.f64 i beta) (/.f64 alpha beta))
(/.f64 (-.f64 (.f64 i i) (.f64 alpha alpha)) (-.f64 i alpha))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i))) (neg.f64 (-.f64 alpha i)))
(/.f64 (neg.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (-.f64 alpha i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 i i (-.f64 (.f64 alpha alpha) (.f64 alpha i))))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 (neg.f64 i))) alpha)
(fma.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (neg.f64 i)) alpha)
(fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha)
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (.f64 i i) (-.f64 alpha i)))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(+.f64 alpha i)
(+.f64 i alpha)
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (+.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) alpha))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64)) (fma.f64 alpha alpha (.f64 (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) alpha))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha)))))
(fma.f64 #s(literal 2 binary64) beta (-.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 beta alpha)))
(fma.f64 beta #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 beta alpha)))
(-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta)
(-.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(-.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (.f64 #s(literal 3 binary64) (+.f64 beta alpha))))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha))))))
(-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) alpha)
(-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))
(+.f64 (.f64 #s(literal 2 binary64) beta) (-.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 beta alpha)))
(+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)))
(.f64 (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 1/4 binary64))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (.f64 #s(literal 3 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (.f64 #s(literal 3 binary64) (+.f64 beta alpha)))))
(*.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fabs.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 1 binary64)))
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(literal 2 binary64)))
(expm1.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
(pow.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)))) (fabs.f64 (-.f64 i (-.f64 (+.f64 beta alpha) i))))
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(/.f64 (.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i alpha))) (neg.f64 (neg.f64 beta)))
(/.f64 (.f64 (.f64 (+.f64 alpha i) (-.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 (-.f64 alpha i) beta))
(/.f64 (.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) beta))
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i alpha)) (neg.f64 beta))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i)) beta)
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i alpha)) beta))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i)) (neg.f64 beta)))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha i) i) #s(literal 2 binary64)) beta) (/.f64 (*.f64 (+.f64 alpha i) alpha) beta))
(.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i))
(.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)) i)
(.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) i) i))
(.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))
(.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))))
(.f64 i (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 beta alpha) i) i)) (-.f64 (.f64 beta alpha) (.f64 (+.f64 (+.f64 beta alpha) i) i)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (.f64 beta alpha) #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) i) i)) (fma.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (-.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 beta alpha)) (pow.f64 (.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (-.f64 (pow.f64 (.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))) (-.f64 (.f64 beta alpha) (.f64 (+.f64 (+.f64 beta alpha) i) i)))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (-.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 beta alpha)) (pow.f64 (.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i))) (neg.f64 (fabs.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i))) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (neg.f64 (.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i))) (neg.f64 (.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i))) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (fabs.f64 (fabs.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i))) (fabs.f64 (fabs.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i))) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) alpha) beta (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 beta alpha) i) (+.f64 (+.f64 beta alpha) i) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) i) (+.f64 (+.f64 beta alpha) i) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (+.f64 (+.f64 beta alpha) i)) i (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 (.f64 beta alpha) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) (.f64 i i) (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (fabs.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i)) (fabs.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i)) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i)) (.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i)) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 (+.f64 beta alpha) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 (.f64 i i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))))
(fma.f64 (.f64 i i) (pow.f64 (+.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 (+.f64 beta alpha) i) (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (*.f64 i i)))
(fma.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) (.f64 beta alpha) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (.f64 beta alpha)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 (+.f64 (+.f64 beta alpha) i) (.f64 i (.f64 (+.f64 (+.f64 beta alpha) i) i)) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 (.f64 beta alpha) (.f64 (+.f64 (+.f64 beta alpha) i) i) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 beta (.f64 alpha (.f64 (+.f64 (+.f64 beta alpha) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 alpha (.f64 beta (.f64 (+.f64 (+.f64 beta alpha) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(fma.f64 i (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 (+.f64 (+.f64 beta alpha) i) i)) (.f64 (.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(fma.f64 i (.f64 (+.f64 (+.f64 beta alpha) i) (.f64 beta alpha)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) (.f64 (.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i)) (.f64 (+.f64 (+.f64 beta alpha) i) i)))
(+.f64 (.f64 (.f64 (+.f64 beta alpha) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha))) (.f64 (.f64 i i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha))))
(+.f64 (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 (+.f64 beta alpha) i)) (.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (.f64 i i)))
(+.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha) (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (+.f64 (+.f64 beta alpha) i) i) beta) alpha))
(*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i)
(*.f64 i (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) #s(literal 4 binary64)) i) (-.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 3 binary64))) i) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64))))
(/.f64 (*.f64 i (-.f64 (pow.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)))
(/.f64 (.f64 i (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 beta alpha) i) i (*.f64 #s(literal 2 binary64) i))
(fma.f64 #s(literal 2 binary64) i (*.f64 (/.f64 (+.f64 beta alpha) i) i))
(fma.f64 #s(literal 2 binary64) i (*.f64 i (/.f64 (+.f64 beta alpha) i)))
(fma.f64 i (/.f64 (+.f64 beta alpha) i) (*.f64 #s(literal 2 binary64) i))
(fma.f64 i #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) i))
(fma.f64 i #s(literal 2 binary64) (*.f64 i (/.f64 (+.f64 beta alpha) i)))
(+.f64 (.f64 (/.f64 (+.f64 beta alpha) i) i) (.f64 #s(literal 2 binary64) i))
(+.f64 (.f64 i (/.f64 (+.f64 beta alpha) i)) (.f64 #s(literal 2 binary64) i))
(+.f64 (.f64 #s(literal 2 binary64) i) (.f64 (/.f64 (+.f64 beta alpha) i) i))
(+.f64 (.f64 #s(literal 2 binary64) i) (.f64 i (/.f64 (+.f64 beta alpha) i)))

eval352.0ms (3.1%)

Memory: -3.2MiB live, 182.7MiB allocated
Compiler: Compiled 126 531 to 5 579 computations (95.6% saved)

prune238.0ms (2.1%)

Memory

-14.9MiB live, 87.1MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 413	18	1 431
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	1 420	24	1 444

Accuracy

99.0%

Counts

1 444 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (.f64 (+.f64 beta i) i))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	21.9%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (+.f64 (+.f64 alpha i) (/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))
	32.3%	(/.f64 (.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	12.7%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i 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)))
	16.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	26.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)) (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/4 binary64)) i) i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (neg.f64 i) (.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i))) #s(literal 1 binary64)))
	31.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	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 (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)) i (.f64 i i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	26.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (- (* 2 (+ beta alpha)) (+ beta alpha))) i)) (* i i)) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha) beta))) i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	38.8%	(.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	32.2%	(.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64))))
▶	30.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
	30.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)))
	14.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
▶	30.7%	#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 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (fma.f64 beta alpha (.f64 beta i)) (*.f64 beta beta)) (/.f64 i beta)))
	13.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) beta)) (/.f64 i beta)))
	24.1%	#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)))
▶	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	29.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	24.1%	#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 (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
✓	70.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 3 207 to 1 269 computations (60.4% saved)

simplify546.0ms (4.8%)

Memory

-4.9MiB live, 138.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i 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)))
cost-diff	1	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff	1	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	1	(fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta)
cost-diff	0	(*.f64 (/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
cost-diff	3	(fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha)
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	(*.f64 (/.f64 (+.f64 alpha i) beta) i)
cost-diff	0	(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
cost-diff	0	(/.f64 i (*.f64 beta beta))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
cost-diff	0	(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))
cost-diff	0	(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))
cost-diff	3	(.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	809
0	112	769
1	278	764
2	1138	734
0	8506	718

Stop Event

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

Calls

Call 1

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

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

localize320.0ms (2.8%)

Memory

-16.0MiB live, 225.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.253859459294524	(fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))
accuracy	9.20817347333349	(/.f64 (*.f64 i i) beta)
accuracy	39.47349264749853	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta))))))
accuracy	39.54323782135983	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i 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)))
accuracy	0.00390625	(/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta)
accuracy	0.23894501953688405	(*.f64 (/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta))
accuracy	0.4765625	(fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha)
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
accuracy	0.00390625	(/.f64 (+.f64 alpha i) beta)
accuracy	0.1171875	(*.f64 (/.f64 (+.f64 alpha i) beta) i)
accuracy	3.892637026992668	(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta))
accuracy	0.0	(*.f64 beta beta)
accuracy	4.437113162078855	(.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))
accuracy	9.831014248443136	(/.f64 i (*.f64 beta beta))
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
accuracy	0.01953125	(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
accuracy	0.03515625	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	0.125	(.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
accuracy	37.69255905416918	(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))

Samples

133.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 694 to 62 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 54.0ms (48.7% of total)

ival-add: 31.0ms (28% of total)

ival-div: 19.0ms (17.1% of total)

ival-sub: 3.0ms (2.7% of total)

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

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series218.0ms (1.9%)

Memory

34.6MiB live, 178.0MiB allocated

Counts

25 → 330

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
85.0ms	beta	@	-inf	((* (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (sqrt i) (sqrt i)) alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ (* (sqrt i) (sqrt i)) alpha) beta) (/ i beta)) (/ (+ (* (sqrt i) (sqrt i)) alpha) beta) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (* beta beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* i i) beta))
49.0ms	beta	@	inf	((* (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (+ alpha i) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (sqrt i) (sqrt i)) alpha) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ (* (sqrt i) (sqrt i)) alpha) beta) (/ i beta)) (/ (+ (* (sqrt i) (sqrt i)) alpha) beta) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (* beta beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* i i) beta))
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simplify252.0ms (2.2%)

Memory

8.4MiB live, 377.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2499	27142
0	9013	24725

Stop Event

1×	iter limit
1×	node limit

Counts

330 → 327

Calls

Call 1

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

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

rewrite231.0ms (2%)

Memory

5.4MiB live, 282.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	623
0	112	529
1	518	502
2	4936	502
0	8366	496

Stop Event

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

Counts

25 → 774

Calls

Call 1

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

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

eval214.0ms (1.9%)

Memory: 7.7MiB live, 412.4MiB allocated
Compiler: Compiled 101 799 to 5 511 computations (94.6% saved)

prune57.0ms (0.5%)

Memory

3.9MiB live, 151.7MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 014	23	1 037
Fresh	11	7	18
Picked	3	2	5
Done	0	1	1
Total	1 028	33	1 061

Accuracy

100.0%

Counts

1 061 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (+.f64 (+.f64 i alpha) #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 (.f64 (/.f64 i beta) i) #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))
	12.7%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -1 binary64)))
	13.0%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (+.f64 alpha beta))) #s(literal 1 binary64)))
▶	12.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
	16.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	16.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (neg.f64 i) (.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i))) #s(literal 1 binary64)))
	12.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (+.f64 (+.f64 i alpha) #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 (.f64 (/.f64 i beta) 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)))
	31.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	99.8%	(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	38.0%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (/.f64 (.f64 (+.f64 i beta) i) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	29.1%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i i) alpha) (.f64 (+.f64 i alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	41.4%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	32.2%	(.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64))))
	28.9%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i i) alpha) (.f64 (+.f64 i alpha) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) beta))) beta)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	31.9%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (.f64 (+.f64 i beta) i) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	30.8%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) beta))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	71.1%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 (fma.f64 i beta (.f64 alpha beta)) (*.f64 beta beta)) i) beta))
	30.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
▶	30.6%	#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 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i)) beta))
▶	29.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	10.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta))
	22.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta))
✓	30.7%	#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 (fma.f64 (sqrt.f64 i) (sqrt.f64 i) alpha) beta) (/.f64 i beta)))
✓	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	29.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
	24.1%	#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 (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
	24.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
	13.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (.f64 i i) (.f64 beta beta))))
▶	9.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta)))))
✓	70.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
	2.9%	#s(approx (* (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha)))

Compiler

Compiled 4 452 to 1 826 computations (59% saved)

simplify180.0ms (1.6%)

Memory

20.0MiB live, 260.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) 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)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
cost-diff	1	(fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))
cost-diff	0	(*.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i)) beta)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i)) beta))
cost-diff	4	(.f64 (.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i))
cost-diff	0	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
cost-diff	0	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
cost-diff	0	(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
cost-diff	0	(/.f64 i (*.f64 beta beta))
cost-diff	0	(.f64 alpha (/.f64 i (.f64 beta beta)))
cost-diff	0	#s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta))))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta)))))
cost-diff	0	(/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
cost-diff	0	(/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))
cost-diff	3	(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
cost-diff	7	(fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	938
0	125	918
1	311	883
2	1170	853
0	8728	834

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (1.7%)

Memory

-21.1MiB live, 306.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	20.710102861139408	(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))
accuracy	36.51632365180066	#s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta)))
accuracy	39.47349264749853	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta))))))
accuracy	39.54323782135983	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
accuracy	0.18359375	(.f64 (.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i))
accuracy	0.234375	(*.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i))
accuracy	3.892637026992668	(/.f64 (.f64 (.f64 (/.f64 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i)) beta)
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* 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 (+.f64 i alpha) beta) (sqrt.f64 i)) (sqrt.f64 i)) beta))
accuracy	0.1171875	(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i)
accuracy	1.4663940710602164	#s(approx (/ (+ alpha i) beta) (/.f64 i beta))
accuracy	3.892637026992668	(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
accuracy	6.197913958709232	(.f64 alpha (/.f64 i (.f64 beta beta)))
accuracy	9.831014248443136	(/.f64 i (*.f64 beta beta))
accuracy	44.200788434586094	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta)))))
accuracy	56.91133494013439	#s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta))))
accuracy	0.01953125	(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))
accuracy	0.03515625	(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))
accuracy	0.0859375	(*.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
accuracy	0.125	(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))

Samples

137.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 776 to 72 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 42.0ms (37.3% of total)

ival-div: 33.0ms (29.3% of total)

ival-add: 30.0ms (26.6% of total)

ival-sub: 4.0ms (3.6% of total)

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

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series127.0ms (1.1%)

Memory

32.9MiB live, 325.4MiB allocated

Counts

25 → 377

Calls

Call 1

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

Outputs
(/ (* 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 (- (/ i (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (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))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (- (+ (* (+ beta i) (- (/ (* 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)))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (- (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2))))))) (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (- (+ (* (+ beta i) (- (/ i (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (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))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (- (/ (* i (- (+ (* (+ beta i) (- (/ (* 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)))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (- (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))))) (/ (* i (- (+ (* (+ beta i) (- (/ (* 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)))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (- (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2))))))) (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))
(/ (* i (+ beta i)) (* (+ 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)) (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 3) (- (+ beta (* 2 i)) 1))))) (+ (/ beta (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (+ (/ i (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (+ (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ beta (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (+ (/ i (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (* (pow (+ beta (* 2 i)) 3) (- (+ beta (* 2 i)) 1))))))) (+ (* -1 (/ beta (* (pow (+ beta (* 2 i)) 3) (- (+ beta (* 2 i)) 1)))) (+ (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 4))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 4) (- (+ beta (* 2 i)) 1))))))))) (+ (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 3) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (+ (/ i (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (+ (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))
(/ (+ beta i) (+ beta (* 2 i)))
(+ (* alpha (- (/ 1 (+ beta (* 2 i))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ beta (pow (+ beta (* 2 i)) 4)) (/ i (pow (+ beta (* 2 i)) 4))))) (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3)))) (/ 1 (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (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) beta)
(+ (/ (* alpha i) beta) (/ (pow i 2) beta))
(/ i beta)
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(* (/ 1 beta) (sqrt (pow i 3)))
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i
(+ alpha i)
(/ (* alpha beta) (+ beta (* 2 i)))
(* alpha (+ (* -1 (/ (* alpha beta) (pow (+ beta (* 2 i)) 2))) (/ beta (+ beta (* 2 i)))))
(* alpha (+ (* alpha (- (/ (* alpha beta) (pow (+ beta (* 2 i)) 3)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ beta (+ beta (* 2 i)))))
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(/ i (+ beta (* 2 i)))
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(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(* (pow beta 2) (+ 1 (* 4 (/ i beta))))
(+ (* 2 (* alpha beta)) (* (pow beta 2) (+ 1 (* 4 (/ i beta)))))
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(/ (* i (+ beta i)) (pow alpha 2))
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(/ (+ beta i) alpha)
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (+ (/ (* beta (+ beta (* 2 i))) alpha) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta i) (- (+ beta (* 2 i)) 1)) alpha)))) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* beta (+ beta (* 2 i))) alpha) (+ (/ (* i (+ beta (* 2 i))) alpha) (+ (/ (* (+ beta i) (- (+ beta (* 2 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (+ (* i (+ beta (* 2 i))) (* (+ beta i) (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1)) (pow alpha 2)))))) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (* beta (pow (+ beta (* 2 i)) 3))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))))) (+ (/ (* beta (+ beta (* 2 i))) alpha) (+ (/ (* i (+ beta (* 2 i))) alpha) (+ (/ (* (+ beta i) (- (+ beta (* 2 i)) 1)) alpha) (+ (/ (* (- (* -1 (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))))) (* (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (+ (* i (+ beta (* 2 i))) (* (+ beta i) (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) (- (+ beta (* 2 i)) 1)) (pow alpha 3)) (/ (* (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (+ (* i (+ beta (* 2 i))) (* (+ beta i) (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1)) (pow alpha 2))))))) alpha)
1
(- (+ 1 (/ i alpha)) (* 2 (/ i alpha)))
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(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* alpha i) beta)
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* (/ alpha beta) (sqrt i))
(* alpha (+ (* (/ 1 beta) (sqrt i)) (* (/ 1 (* alpha beta)) (sqrt (pow i 3)))))
(* -1 (/ (* (pow alpha 2) i) beta))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
alpha
(* alpha (+ 1 (/ i alpha)))
beta
(+ beta (* -1 (/ (* beta (+ beta (* 2 i))) alpha)))
(- (+ beta (/ (* beta (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* beta (+ beta (* 2 i))) alpha))
(- (+ beta (* -1 (/ (* beta (pow (+ beta (* 2 i)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* beta (+ beta (* 2 i))) alpha)))
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha))
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha))
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))))
(/ i alpha)
(/ (+ i (* -1 (/ (* i (+ beta (* 2 i))) alpha))) alpha)
(/ (- (+ i (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha)) alpha)
(/ (- (+ i (* -1 (/ (* i (pow (+ beta (* 2 i)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha))) alpha)
(pow alpha 2)
(* (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))))
(* 2 (* alpha beta))
(* alpha (+ (* 2 beta) (/ (* (pow beta 2) (+ 1 (* 4 (/ i beta)))) alpha)))
(+ beta (+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i))))) alpha))))
(+ beta (+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha)) (* beta (+ beta (* 2 i))))) (* -1 (* i (+ beta (* 2 i))))) alpha))))
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(- (+ 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 (* -1 (/ (* i (+ alpha (* 2 i))) beta))) beta)
(/ (- (+ i (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2))) (/ (* i (+ alpha (* 2 i))) beta)) beta)
(/ (- (+ i (* -1 (/ (* i (pow (+ alpha (* 2 i)) 3)) (pow beta 3)))) (+ (* -1 (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2))) (/ (* i (+ alpha (* 2 i))) beta))) beta)
(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 (* 2 i)) beta))))
(+ alpha (+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i))))) beta))))
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(/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i)))))) (pow (+ alpha i) 2)))) (* -1 (* i (* (+ 1 (+ alpha (+ (* -1 (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))) (* 2 i)))) (+ alpha i))))) beta)) (* i (+ alpha i))) (pow beta 2))
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(* -1 (/ (+ (* -1 (+ alpha i)) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i)))))) (* -1 (/ (- (* -1 (- (* alpha (pow (+ alpha (* 2 i)) 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))))))) (* -1 (* (- (* -1 (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i)))))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))) (- (+ alpha (* 2 i)) 1)))) beta))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))) beta))) beta))
(* -1 (/ (+ (* -1 (+ alpha i)) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i)))))) (* -1 (/ (- (+ (* -1 (- (* alpha (pow (+ alpha (* 2 i)) 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))))))) (* -1 (/ (- (* -1 (- (* alpha (pow (+ alpha (* 2 i)) 3)) (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))))))) (* -1 (* (- (* -1 (- (* alpha (pow (+ alpha (* 2 i)) 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))))))) (* -1 (* (- (* -1 (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i)))))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (- (+ alpha (* 2 i)) 1)))) beta))) (* -1 (* (- (* -1 (- (+ (* -1 (* i (+ alpha i))) (* alpha (+ alpha (* 2 i)))) (* -1 (* i (+ alpha (* 2 i)))))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))) (- (+ alpha (* 2 i)) 1)))) beta))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))) beta))) beta))
(+ 1 (* -1 (/ (- (* -1 (+ alpha i)) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ alpha i)) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha i)) (* -1 (+ alpha (* 2 i))))) beta))) (* -1 (+ alpha (* 2 i)))) beta)))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i)))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
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(+ alpha (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ alpha (* 2 i)) 2)) beta)) (* alpha (+ alpha (* 2 i)))) beta)))
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(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta)))
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(* -1 (/ (+ (* -1 i) (/ (* i (+ alpha (* 2 i))) beta)) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (/ (* i (pow (+ alpha (* 2 i)) 2)) beta) (* i (+ alpha (* 2 i)))) beta))) beta))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (+ alpha (* 2 i)) 3)) beta) (* i (pow (+ alpha (* 2 i)) 2))) beta)) (* i (+ alpha (* 2 i)))) beta))) beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(/ (* alpha beta) (+ alpha beta))
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(+ (* i (- (+ 1 (* -1 (* i (+ (* -4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (/ 1 (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1))))
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(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))
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(+ (* i (- (+ (* i (- (+ (* -1 (/ (+ (* -4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (/ 1 (+ alpha beta))) (- (+ alpha beta) 1))) (* i (- (* 2 (/ 1 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (+ (* 2 (/ (- (* -1 (/ (+ (* -4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (/ 1 (+ alpha beta))) (- (+ alpha beta) 1))) (* 2 (/ (- (/ 1 (- (+ alpha beta) 1)) (+ (* 2 (/ (* alpha beta) (* (+ alpha beta) (pow (- (+ alpha beta) 1) 2)))) (* 2 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (- (+ alpha beta) 1)))) (- (+ alpha beta) 1))) (* 8 (/ (* alpha beta) (* (pow (+ alpha beta) 4) (- (+ alpha beta) 1)))))))) (* 2 (/ (- (/ 1 (- (+ alpha beta) 1)) (+ (* 2 (/ (* alpha beta) (* (+ alpha beta) (pow (- (+ alpha beta) 1) 2)))) (* 2 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (- (+ alpha beta) 1))))) (/ 1 (- (+ alpha beta) 1))) (+ (* 2 (/ (* alpha beta) (* (+ alpha beta) (pow (- (+ alpha beta) 1) 2)))) (* 2 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))))
(+ 1 (* -1 (/ i (+ alpha beta))))
(+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))
(+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha beta) (/ i beta)))
(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))
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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))))
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(* i (+ 1 (* -1 (/ i (+ alpha beta)))))
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(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))))
(/ i (+ alpha beta))
(* i (+ (* -2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta))))
(* i (+ (* i (- (* 4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta))))
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(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
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(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(+ (* 4 (* beta i)) (* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))))
(* 1/2 i)
(* i (- (+ 1/2 (+ (* 1/2 (/ alpha i)) (* 1/2 (/ beta i)))) (* 1/4 (/ (+ alpha beta) i))))
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(* i (- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (* alpha (pow (+ alpha beta) 2))) (+ (* -1/8 (* beta (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 3)) (* 1/4 (* alpha (* beta (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ alpha i)) (+ (* 1/2 (/ beta i)) (* 1/2 (/ (* alpha beta) (pow i 2))))))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* alpha (+ alpha beta)) (pow i 2))) (+ (* 1/4 (/ (* beta (+ alpha beta)) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))))))
1/16
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1/4
(- (+ 1/4 (* 1/2 (/ (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))) i))) (* 1/8 (/ (- (+ alpha beta) 1) i)))
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(- (+ 1/4 (+ (* -1/2 (/ (+ (* -1/8 (* alpha (pow (+ alpha beta) 2))) (+ (* -1/8 (* beta (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 3)) (* 1/4 (* alpha (* beta (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (- (* 1/2 (* alpha beta)) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta)))))) (pow i 2))) (* 1/2 (/ (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))) i))))) (+ (* 1/8 (/ (- (+ alpha beta) 1) i)) (+ (* 1/2 (/ (* (- (* 1/2 (- (* 1/2 (* alpha beta)) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta))))))) (* 1/2 (* (- (* 1/2 (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta)))) (* 1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) (- (+ alpha beta) 1)) (pow i 3))) (* 1/2 (/ (* (- (* 1/2 (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta)))) (* 1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)) (pow i 2))))))
1/2
(- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) 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)))
(- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* (pow i 2) (+ (* (/ 1 beta) (sqrt (/ 1 i))) (* (/ alpha beta) (sqrt (/ 1 (pow i 3))))))
(* -2 (/ (pow i 3) beta))
(* (pow i 3) (- (+ (/ 1 i) (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (* 4 (/ alpha (* beta i))))))
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i)))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(* i (+ 1 (/ alpha i)))
(* 1/2 (/ (* alpha beta) i))
(/ (+ (* -1/4 (/ (* alpha (* beta (+ alpha beta))) i)) (* 1/2 (* alpha beta))) i)
(/ (- (+ (* 1/8 (/ (* alpha (* beta (pow (+ alpha beta) 2))) (pow i 2))) (* 1/2 (* alpha beta))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) i)
(/ (- (+ (* -1/16 (/ (* alpha (* beta (pow (+ alpha beta) 3))) (pow i 3))) (* 1/2 (* alpha beta))) (+ (* -1/8 (/ (* alpha (* beta (pow (+ alpha beta) 2))) (pow i 2))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i)))) 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 (* -1/4 (/ (+ alpha beta) i)))
(- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))
(* 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))))
(* 4 (* beta i))
(* i (+ (* 4 beta) (/ (* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))) 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 (/ (+ (* -1/2 (* 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 (/ (- (* -1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (* alpha (* beta (+ alpha beta))))) i)) (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) i))) i)) 1/2)))
(- (+ 1/16 (* -1/8 (/ (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta))) i))) (* 1/128 (/ (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) (* -1/8 (/ (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))))))) i))) (+ (* -1/8 (/ (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) i)) (* 1/128 (/ (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))))) (+ (* -1/8 (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))))))) (* 1/128 (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) (* -1/8 (/ (+ (* -1 (- (* -1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (* alpha (* beta (+ alpha beta)))))) (* (+ alpha beta) (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))))))) i))) (+ (* -1/8 (/ (* (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) i)) (+ (* -1/8 (/ (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))))) (+ (* -1/8 (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))))))) (* 1/128 (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* 1/128 (/ (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1))) i))))) i))) i)))
(+ 1/4 (* -1 (/ (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) i)))
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) (* -1/2 (* (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) i)) (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1/8 (- (+ alpha beta) 1))) i)))
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (* alpha (* beta (+ alpha beta)))))) (* -1/2 (* (- (* -1/2 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) (* -1/2 (* (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) (- (+ alpha beta) 1)))) i)) (* -1/2 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))))))) (* -1/2 (* (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) i)) (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1/8 (- (+ alpha beta) 1))) i)))
(+ 1/2 (* -1 (/ (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))) i)))
(+ 1/2 (* -1 (/ (- (+ (* -1/2 (+ alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) (* -1/4 (+ alpha beta))) i)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ alpha beta) 2) (- (* -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)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (/ (* (pow i 2) (pow (sqrt -1) 2)) beta))
(* (pow i 2) (+ (* -1 (/ (* alpha (pow (sqrt -1) 2)) (* beta i))) (* -1 (/ (pow (sqrt -1) 2) beta))))
(* -1 (/ (* (pow i 2) (pow (sqrt -1) 2)) (pow beta 2)))
(* (pow i 2) (+ (* -1 (/ (* alpha (pow (sqrt -1) 2)) (* (pow beta 2) i))) (* -1 (/ (pow (sqrt -1) 2) (pow beta 2)))))
(* -1 (* (/ (pow (sqrt -1) 2) beta) (sqrt (pow i 3))))
(* (pow i 2) (+ (* -1 (* (/ (* alpha (pow (sqrt -1) 2)) beta) (sqrt (/ 1 (pow i 3))))) (* -1 (* (/ (pow (sqrt -1) 2) beta) (sqrt (/ 1 i))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))))) i)) (* 2 (/ 1 beta)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta)))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (/ (+ (* -1/2 (* alpha beta)) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (* beta (pow (+ alpha beta) 2))) i)) (* 1/4 (* alpha (* beta (+ alpha beta))))) i)) (* -1/2 (* alpha beta))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* alpha (* beta (pow (+ alpha beta) 3))) i)) (* 1/8 (* alpha (* beta (pow (+ alpha beta) 2))))) i)) (* 1/4 (* alpha (* beta (+ alpha beta))))) i)) (* -1/2 (* alpha beta))) i))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ alpha beta) 2) i)) (* -1/4 (+ alpha beta))) i)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ alpha beta) 3) i)) (* -1/8 (pow (+ alpha beta) 2))) i)) (* -1/4 (+ alpha beta))) i)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* -1 (* i (+ (* -4 beta) (* -1 (/ (* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))) i)))))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	beta	@	0	((+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (* (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) beta) (* (/ (+ i alpha) beta) (sqrt i)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ alpha i) (* alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (* (+ (* (/ (+ (* 2 i) alpha) beta) 2) 1) (* beta beta)))
12.0ms	i	@	0	((+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (* (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) beta) (* (/ (+ i alpha) beta) (sqrt i)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ alpha i) (* alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (* (+ (* (/ (+ (* 2 i) alpha) beta) 2) 1) (* beta beta)))
12.0ms	alpha	@	0	((+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (* (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) beta) (* (/ (+ i alpha) beta) (sqrt i)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ alpha i) (* alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (* (+ (* (/ (+ (* 2 i) alpha) beta) 2) 1) (* beta beta)))
11.0ms	beta	@	-inf	((+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (* (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) beta) (* (/ (+ i alpha) beta) (sqrt i)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ alpha i) (* alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (* (+ (* (/ (+ (* 2 i) alpha) beta) 2) 1) (* beta beta)))
11.0ms	alpha	@	inf	((+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (* (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/ (+ (* i (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (* alpha (/ beta (+ (* 2 i) (+ alpha beta))))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (+ i (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ alpha i) (/ i (* beta beta))) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* (/ (+ i alpha) beta) (sqrt i)) (sqrt i)) beta) (* (/ (+ i alpha) beta) (sqrt i)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ alpha i) (* alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ i (+ (* 2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (* (+ (* (/ (+ (* 2 i) alpha) beta) 2) 1) (* beta beta)))

simplify233.0ms (2%)

Memory

-6.2MiB live, 365.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3005	30644
0	8148	29585

Stop Event

1×	iter limit
1×	node limit

Counts

377 → 374

Calls

Call 1

Inputs
(/ (* 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 (- (/ i (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (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))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))
(+ (* alpha (- (/ (* i (+ (* (+ beta i) (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))))
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* -1 (* (+ beta i) (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))))) (* -1 (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (* beta (pow (+ beta (* 2 i)) 3)))))) (pow alpha 3)) (+ (/ (* i (+ (* -1 (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))))) (* (+ beta i) (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (* i (+ beta (* 2 i)))))))) (pow alpha 2)) (/ (* i (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (+ (* beta (+ beta (* 2 i))) (* i (+ beta (* 2 i)))))) alpha)))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (pow alpha 3)) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (pow alpha 2)) (+ (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ (* -1 (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))))) (* (+ beta i) (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (* i (+ beta (* 2 i)))))))) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (+ (* beta (+ beta (* 2 i))) (* i (+ beta (* 2 i)))))) (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))))))))) (pow alpha 3)) (+ (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (+ (* beta (+ beta (* 2 i))) (* i (+ beta (* 2 i)))))) (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))) (pow alpha 2)) (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (- (* i (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (+ (* beta (+ beta (* 2 i))) (* i (+ beta (* 2 i)))))) (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))) (pow alpha 3)))))))) (pow alpha 2))
(/ (+ beta i) alpha)
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (+ (/ (* beta (+ beta (* 2 i))) alpha) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta i) (- (+ beta (* 2 i)) 1)) alpha)))) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* beta (+ beta (* 2 i))) alpha) (+ (/ (* i (+ beta (* 2 i))) alpha) (+ (/ (* (+ beta i) (- (+ beta (* 2 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (+ (* i (+ beta (* 2 i))) (* (+ beta i) (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1)) (pow alpha 2)))))) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i)))))) (* beta (pow (+ beta (* 2 i)) 3))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))))) (+ (/ (* beta (+ beta (* 2 i))) alpha) (+ (/ (* i (+ beta (* 2 i))) alpha) (+ (/ (* (+ beta i) (- (+ beta (* 2 i)) 1)) alpha) (+ (/ (* (- (* -1 (+ (* -1 (* beta (pow (+ beta (* 2 i)) 2))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))))) (* (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (+ (* i (+ beta (* 2 i))) (* (+ beta i) (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) (- (+ beta (* 2 i)) 1)) (pow alpha 3)) (/ (* (- (* i (+ beta i)) (+ (* beta (+ beta (* 2 i))) (+ (* i (+ beta (* 2 i))) (* (+ beta i) (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1)) (pow alpha 2))))))) alpha)
1
(- (+ 1 (/ i alpha)) (* 2 (/ i alpha)))
(- (+ 1 (+ (* -1 (/ (* (+ beta (* 2 i)) (- i (* 2 i))) (pow alpha 2))) (/ i alpha))) (* 2 (/ i alpha)))
(- (+ 1 (+ (/ i alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- i (* 2 i))) (pow alpha 3)))) (+ (* 2 (/ i alpha)) (/ (* (+ beta (* 2 i)) (- i (* 2 i))) (pow alpha 2))))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* alpha i) beta)
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(* (/ alpha beta) (sqrt i))
(* alpha (+ (* (/ 1 beta) (sqrt i)) (* (/ 1 (* alpha beta)) (sqrt (pow i 3)))))
(* -1 (/ (* (pow alpha 2) i) beta))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
alpha
(* alpha (+ 1 (/ i alpha)))
beta
(+ beta (* -1 (/ (* beta (+ beta (* 2 i))) alpha)))
(- (+ beta (/ (* beta (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* beta (+ beta (* 2 i))) alpha))
(- (+ beta (* -1 (/ (* beta (pow (+ beta (* 2 i)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* beta (+ beta (* 2 i))) alpha)))
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha))
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha))
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))))
(/ i alpha)
(/ (+ i (* -1 (/ (* i (+ beta (* 2 i))) alpha))) alpha)
(/ (- (+ i (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha)) alpha)
(/ (- (+ i (* -1 (/ (* i (pow (+ beta (* 2 i)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha))) alpha)
(pow alpha 2)
(* (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))))
(* 2 (* alpha beta))
(* alpha (+ (* 2 beta) (/ (* (pow beta 2) (+ 1 (* 4 (/ i beta)))) alpha)))
(+ beta (+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i))))) alpha))))
(+ beta (+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha)) (* beta (+ beta (* 2 i))))) (* -1 (* i (+ beta (* 2 i))))) alpha))))
(+ beta (+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (- (+ (* -1 (/ (- (* beta (pow (+ beta (* 2 i)) 3)) (* -1 (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha)) (* beta (pow (+ beta (* 2 i)) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha)) (* beta (+ beta (* 2 i))))) (* -1 (* i (+ beta (* 2 i))))) alpha))))
(/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i))))) alpha)) (* i (+ beta i))) (pow alpha 2))
(/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (/ (- (* -1 (* i (+ (* -1 (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* (+ beta i) (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i))))))))) (+ (* -1 (* i (* (+ beta i) (+ (* -1 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) (* -1 (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (- (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i))))) alpha)) (* i (+ beta i))) (pow alpha 2))
(/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* (+ beta i) (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i))))))))) (* -1 (/ (- (* -1 (* i (+ (* -1 (- (* beta (pow (+ beta (* 2 i)) 3)) (* -1 (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* (+ beta i) (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))))))) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (* -1 (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (- (* -1 (* i (+ (* -1 (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* (+ beta i) (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i))))))))) (+ (* -1 (* i (* (+ beta i) (+ (* -1 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) (* -1 (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (- (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i))))))))))) (* -1 (* (+ (* -1 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i)))))))))) alpha))) (+ (* -1 (* i (* (+ beta i) (+ (* -1 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) (* -1 (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (- (* -1 (* i (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (pow (+ beta i) 2)))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* -1 (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))) (* 2 i)))) (+ beta i))))) alpha)) (* i (+ beta i))) (pow alpha 2))
(* -1 (/ (+ (* -1 (+ beta i)) (* -1 (/ (- (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (* (+ beta i) (- (+ beta (* 2 i)) 1))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ beta i)) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (* -1 (/ (- (* -1 (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* -1 (* (- (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (* (+ beta i) (- (+ beta (* 2 i)) 1))) (- (+ beta (* 2 i)) 1)))) alpha))) (* (+ beta i) (- (+ beta (* 2 i)) 1))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ beta i)) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (* -1 (/ (- (+ (* -1 (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* -1 (/ (- (* -1 (- (* beta (pow (+ beta (* 2 i)) 3)) (* -1 (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* -1 (* (- (* -1 (- (* beta (pow (+ beta (* 2 i)) 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))))))) (* -1 (* (- (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (* (+ beta i) (- (+ beta (* 2 i)) 1))) (- (+ beta (* 2 i)) 1)))) (- (+ beta (* 2 i)) 1)))) alpha))) (* -1 (* (- (* -1 (- (+ (* -1 (* i (+ beta i))) (* beta (+ beta (* 2 i)))) (* -1 (* i (+ beta (* 2 i)))))) (* (+ beta i) (- (+ beta (* 2 i)) 1))) (- (+ beta (* 2 i)) 1)))) alpha))) (* (+ beta i) (- (+ beta (* 2 i)) 1))) alpha))) alpha))
(+ 1 (* -1 (/ (- (* -1 (+ beta i)) (* -1 (+ beta (* 2 i)))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ beta i)) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (+ beta i)) (* -1 (+ beta (* 2 i))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ beta i)) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (+ beta i)) (* -1 (+ beta (* 2 i))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta i)) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (* (/ 1 beta) (sqrt i))) (* -1 (* (/ 1 (* alpha beta)) (sqrt (pow i 3)))))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta))))) alpha))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
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(pow beta 2)
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(+ 1 (* -1 (/ (- (* -1 (+ alpha i)) (* -1 (+ alpha (* 2 i)))) beta)))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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1/16
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(- (+ 1/16 (+ (* 1/8 (/ (+ (* -1 (+ (* -1/8 (* alpha (pow (+ alpha beta) 2))) (+ (* -1/8 (* beta (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 3)) (* 1/4 (* alpha (* beta (+ alpha beta)))))))) (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta)))))))) (pow i 3))) (+ (* 1/8 (/ (- (+ (* 1/2 alpha) (+ (* 1/2 beta) (* 1/2 (+ alpha beta)))) (* 1/4 (+ alpha beta))) i)) (* 1/8 (/ (- (+ (* 1/2 (* alpha beta)) (* (+ alpha beta) (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))))) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta)))))) (pow i 2)))))) (+ (* 1/128 (/ (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1))) (pow i 3))) (+ (* 1/128 (/ (+ (* 2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (pow i 2))) (+ (* 1/128 (/ (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) i)) (+ (* 1/8 (/ (* (+ (* 2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (* 1/8 (- (+ (* 1/2 alpha) (+ (* 1/2 beta) (* 1/2 (+ alpha beta)))) (* 1/4 (+ alpha beta)))) (* 1/128 (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* 1/8 (- (+ (* 1/2 alpha) (+ (* 1/2 beta) (* 1/2 (+ alpha beta)))) (* 1/4 (+ alpha beta)))) (* 1/128 (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/8 (/ (* (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* 1/8 (- (+ (* 1/2 (* alpha beta)) (* (+ alpha beta) (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))))) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta))))))) (+ (* 1/128 (+ (* 2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (* 1/8 (* (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* 1/8 (- (+ (* 1/2 alpha) (+ (* 1/2 beta) (* 1/2 (+ alpha beta)))) (* 1/4 (+ alpha beta)))) (* 1/128 (+ (* 2 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))))))) (pow i 3)))))))))
1/4
(- (+ 1/4 (* 1/2 (/ (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))) i))) (* 1/8 (/ (- (+ alpha beta) 1) i)))
(- (+ 1/4 (+ (* 1/2 (/ (- (* 1/2 (* alpha beta)) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta)))))) (pow i 2))) (* 1/2 (/ (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))) i)))) (+ (* 1/8 (/ (- (+ alpha beta) 1) i)) (* 1/2 (/ (* (- (* 1/2 (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta)))) (* 1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)) (pow i 2)))))
(- (+ 1/4 (+ (* -1/2 (/ (+ (* -1/8 (* alpha (pow (+ alpha beta) 2))) (+ (* -1/8 (* beta (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 3)) (* 1/4 (* alpha (* beta (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (- (* 1/2 (* alpha beta)) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta)))))) (pow i 2))) (* 1/2 (/ (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta))) i))))) (+ (* 1/8 (/ (- (+ alpha beta) 1) i)) (+ (* 1/2 (/ (* (- (* 1/2 (- (* 1/2 (* alpha beta)) (+ (* -1/8 (pow (+ alpha beta) 2)) (+ (* 1/4 (* alpha (+ alpha beta))) (* 1/4 (* beta (+ alpha beta))))))) (* 1/2 (* (- (* 1/2 (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta)))) (* 1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) (- (+ alpha beta) 1)) (pow i 3))) (* 1/2 (/ (* (- (* 1/2 (- (+ (* 1/2 alpha) (* 1/2 beta)) (* 1/4 (+ alpha beta)))) (* 1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)) (pow i 2))))))
1/2
(- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) 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)))
(- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(* (pow i 2) (+ (* (/ 1 beta) (sqrt (/ 1 i))) (* (/ alpha beta) (sqrt (/ 1 (pow i 3))))))
(* -2 (/ (pow i 3) beta))
(* (pow i 3) (- (+ (/ 1 i) (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (* 4 (/ alpha (* beta i))))))
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i)))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(* i (+ 1 (/ alpha i)))
(* 1/2 (/ (* alpha beta) i))
(/ (+ (* -1/4 (/ (* alpha (* beta (+ alpha beta))) i)) (* 1/2 (* alpha beta))) i)
(/ (- (+ (* 1/8 (/ (* alpha (* beta (pow (+ alpha beta) 2))) (pow i 2))) (* 1/2 (* alpha beta))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) i)
(/ (- (+ (* -1/16 (/ (* alpha (* beta (pow (+ alpha beta) 3))) (pow i 3))) (* 1/2 (* alpha beta))) (+ (* -1/8 (/ (* alpha (* beta (pow (+ alpha beta) 2))) (pow i 2))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i)))) 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 (* -1/4 (/ (+ alpha beta) i)))
(- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))
(* 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))))
(* 4 (* beta i))
(* i (+ (* 4 beta) (/ (* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))) 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 (/ (+ (* -1/2 (* 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 (/ (- (* -1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (* alpha (* beta (+ alpha beta))))) i)) (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) i))) i)) 1/2)))
(- (+ 1/16 (* -1/8 (/ (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta))) i))) (* 1/128 (/ (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) (* -1/8 (/ (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))))))) i))) (+ (* -1/8 (/ (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) i)) (* 1/128 (/ (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))))) (+ (* -1/8 (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))))))) (* 1/128 (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) (* -1/8 (/ (+ (* -1 (- (* -1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (* alpha (* beta (+ alpha beta)))))) (* (+ alpha beta) (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))))))) i))) (+ (* -1/8 (/ (* (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta))))))) i)) (+ (* -1/8 (/ (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (+ (* -1 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))))) (+ (* -1/8 (* (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))) (- (* -1/8 (- (* -1 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/128 (+ (* -2 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))) (* 4 (+ 1 (+ alpha beta)))))))) (* 1/128 (+ (* -2 (* (+ alpha beta) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* 1/128 (/ (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1))) i))))) i))) i)))
(+ 1/4 (* -1 (/ (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) i)))
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) (* -1/2 (* (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) i)) (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1/8 (- (+ alpha beta) 1))) i)))
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1/4 (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (* alpha (* beta (+ alpha beta)))))) (* -1/2 (* (- (* -1/2 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))))) (* -1/2 (* (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) (- (+ alpha beta) 1)))) i)) (* -1/2 (+ (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))))))) (* -1/2 (* (- (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1/8 (- (+ alpha beta) 1))) (- (+ alpha beta) 1)))) i)) (* 1/2 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* -1/8 (- (+ alpha beta) 1))) i)))
(+ 1/2 (* -1 (/ (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))) i)))
(+ 1/2 (* -1 (/ (- (+ (* -1/2 (+ alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) (* -1/4 (+ alpha beta))) i)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ alpha beta) 2) (- (* -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)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(* -1 (/ (* (pow i 2) (pow (sqrt -1) 2)) beta))
(* (pow i 2) (+ (* -1 (/ (* alpha (pow (sqrt -1) 2)) (* beta i))) (* -1 (/ (pow (sqrt -1) 2) beta))))
(* -1 (/ (* (pow i 2) (pow (sqrt -1) 2)) (pow beta 2)))
(* (pow i 2) (+ (* -1 (/ (* alpha (pow (sqrt -1) 2)) (* (pow beta 2) i))) (* -1 (/ (pow (sqrt -1) 2) (pow beta 2)))))
(* -1 (* (/ (pow (sqrt -1) 2) beta) (sqrt (pow i 3))))
(* (pow i 2) (+ (* -1 (* (/ (* alpha (pow (sqrt -1) 2)) beta) (sqrt (/ 1 (pow i 3))))) (* -1 (* (/ (pow (sqrt -1) 2) beta) (sqrt (/ 1 i))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))))) i)) (* 2 (/ 1 beta)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta)))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (/ (+ (* -1/2 (* alpha beta)) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (* beta (pow (+ alpha beta) 2))) i)) (* 1/4 (* alpha (* beta (+ alpha beta))))) i)) (* -1/2 (* alpha beta))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* alpha (* beta (pow (+ alpha beta) 3))) i)) (* 1/8 (* alpha (* beta (pow (+ alpha beta) 2))))) i)) (* 1/4 (* alpha (* beta (+ alpha beta))))) i)) (* -1/2 (* alpha beta))) i))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ alpha beta) 2) i)) (* -1/4 (+ alpha beta))) i)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ alpha beta) 3) i)) (* -1/8 (pow (+ alpha beta) 2))) i)) (* -1/4 (+ alpha beta))) i)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* -1 (* i (+ (* -4 beta) (* -1 (/ (* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))) i)))))

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

rewrite255.0ms (2.2%)

Memory

-5.7MiB live, 223.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	725
0	125	649
1	581	592
2	5396	592
0	9046	581

Stop Event

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

Counts

25 → 445

Calls

Call 1

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

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

eval252.0ms (2.2%)

Memory: 17.3MiB live, 195.5MiB allocated
Compiler: Compiled 88 849 to 5 181 computations (94.2% saved)

prune106.0ms (0.9%)

Memory

13.1MiB live, 104.9MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	799	16	815
Fresh	10	15	25
Picked	3	2	5
Done	1	2	3
Total	813	35	848

Accuracy

100.0%

Counts

848 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 beta beta)))
	12.6%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (.f64 i #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 i i) beta)))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) #s(approx (* (+ (* (/ (+ (* 2 i) alpha) beta) 2) 1) (* beta beta)) (.f64 beta (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))))))
	16.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (-.f64 (neg.f64 alpha) i) (neg.f64 i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	12.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (+.f64 (+.f64 alpha i) #s(approx (- (/ ( (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (.f64 (.f64 (/.f64 i beta) i) #s(literal -2 binary64)))))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
	31.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	8.7%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
	13.3%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (* 2 i) alpha)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (.f64 i (+.f64 alpha i)))) #s(approx (- ( (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 beta beta))))
	89.7%	(.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 (.f64 beta alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	99.8%	(.f64 (/.f64 (fma.f64 i (/.f64 (-.f64 (pow.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64))) (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	99.8%	(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	91.3%	(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx ( alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha beta) i)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	30.2%	(.f64 (/.f64 (fma.f64 i #s(approx (/ (+ i (+ alpha beta)) (+ ( 2 i) (+ alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (+.f64 alpha beta)))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	38.0%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (/.f64 (.f64 (+.f64 i beta) i) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	41.4%	(.f64 (/.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	32.2%	(.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 1 binary64))))
	28.9%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 i alpha) beta) i i) alpha) (.f64 (+.f64 i alpha) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) beta))) beta)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	31.9%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (.f64 (+.f64 i beta) i) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	30.8%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) beta))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	71.1%	(.f64 #s(approx (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 (fma.f64 i beta (.f64 alpha beta)) (*.f64 beta beta)) i) beta))
	26.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 i) (+.f64 alpha i)) beta) (sqrt.f64 i)) beta))
	30.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
✓	29.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
	29.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 #s(approx (/ (+ alpha i) beta) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) i) beta))
	29.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 i beta))))
✓	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta))))
	28.5%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (sqrt.f64 i) (/.f64 (.f64 (sqrt.f64 i) (/.f64 (+.f64 alpha i) beta)) beta)))
	24.1%	#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 (/ (+ alpha i) beta) (.f64 (/.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) beta) alpha)) (/.f64 i beta)))
	24.4%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
	23.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta)))
	10.1%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (*.f64 (/.f64 i beta) alpha) beta)))
	13.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (.f64 i i) (.f64 beta beta))))
✓	9.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta)))))
✓	70.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
	2.9%	#s(approx (* (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/.f64 (.f64 (+.f64 i beta) i) (.f64 alpha alpha)))

Compiler

Compiled 7 571 to 1 430 computations (81.1% saved)

regimes139.0ms (1.2%)

Memory

1.6MiB live, 106.5MiB allocated

Counts

71 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

50.0ms	alpha
48.0ms	i
20.0ms	beta
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
99.8%	1	`alpha`
99.8%	1	`beta`
99.8%	1	`i`
99.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes123.0ms (1.1%)

Memory

-5.1MiB live, 87.0MiB allocated

Counts

65 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

55.0ms	alpha
27.0ms	(/.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)))
18.0ms	i
18.0ms	beta

Results

Accuracy	Segments	Branch
99.8%	1	`alpha`
99.8%	1	`beta`
99.8%	1	`i`
99.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes85.0ms (0.7%)

Memory

1.0MiB live, 55.5MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

29.0ms	beta
18.0ms	alpha
18.0ms	i
15.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
94.1%	2	`alpha`
93.3%	2	`beta`
94.4%	2	`i`
92.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes108.0ms (1%)

Memory

-3.9MiB live, 87.9MiB allocated

Counts

63 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

47.0ms	alpha
21.0ms	(/.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)))
17.0ms	i
17.0ms	beta

Results

Accuracy	Segments	Branch
77.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
87.8%	2	`beta`
75.2%	2	`alpha`
84.1%	2	`i`

Compiler

Compiled 56 to 26 computations (53.6% saved)

regimes19.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

beta

Results

Accuracy	Segments	Branch
87.2%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes77.0ms (0.7%)

Memory

-28.3MiB live, 18.3MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

73.0ms

beta

Results

Accuracy	Segments	Branch
87.1%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

17 → 2

Calls

Call 1

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
87.1%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta)))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (.f64 i i) (.f64 beta beta))))
#s(approx (* (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ 1 (+ (* 2 i) (+ beta alpha))))) (/.f64 (.f64 (+.f64 i beta) i) (.f64 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 alpha i) (/.f64 i (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (*.f64 (/.f64 i beta) 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 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 i beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 (/.f64 (+.f64 i alpha) beta) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 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 (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
85.9%	2	`beta`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	beta
3.0ms	i

Results

Accuracy	Segments	Branch
75.0%	3	`i`
79.7%	2	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes29.0ms (0.3%)

Memory

-42.4MiB live, 11.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

3 calls:

23.0ms

beta

3.0ms

alpha

2.0ms

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

Results

Accuracy	Segments	Branch
70.9%	1	`alpha`
74.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
74.9%	2	`beta`

Compiler

Compiled 55 to 23 computations (58.2% saved)

regimes5.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
74.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
74.8%	2	`beta`

Compiler

Compiled 54 to 20 computations (63% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

(/.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
74.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 53 to 17 computations (67.9% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
74.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 53 to 17 computations (67.9% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

2 calls:

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)))

1.0ms

beta

Results

Accuracy	Segments	Branch
74.8%	2	`beta`
70.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 54 to 20 computations (63% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

1.0ms	beta
1.0ms	i

Results

Accuracy	Segments	Branch
70.9%	1	`i`
70.9%	1	`beta`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch29.0ms (0.3%)

Memory

-25.2MiB live, 20.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.5082789472149846e+67	3.071068112262611e+68

Samples

22.0ms

96×

valid

Compiler

Compiled 752 to 329 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 16.0ms (82.7% of total)

ival-add: 2.0ms (10.3% of total)

ival-div: 1.0ms (5.2% 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)

bsearch15.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.680208307316143e+162	2.2379936925338088e+163

Samples

8.0ms

96×

valid

Compiler

Compiled 740 to 323 computations (56.4% saved)

Precisions

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

ival-mult: 3.0ms (50.7% of total)

ival-add: 2.0ms (33.8% of total)

ival-div: 1.0ms (16.9% 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)

bsearch4.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.680208307316143e+162	2.2379936925338088e+163

Samples

1.0ms

16×

valid

Compiler

Compiled 758 to 335 computations (55.8% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

11.7MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.680208307316143e+162	2.2379936925338088e+163

Samples

4.0ms

48×

valid

Compiler

Compiled 764 to 281 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (34.4% of total)

ival-mult: 1.0ms (34.4% of total)

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

ival-div: 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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.680208307316143e+162	2.2379936925338088e+163

Compiler

Compiled 764 to 281 computations (63.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.680208307316143e+162	2.2379936925338088e+163

Compiler

Compiled 788 to 287 computations (63.6% 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	3.680208307316143e+162	2.2379936925338088e+163

Compiler

Compiled 788 to 293 computations (62.8% saved)

bsearch40.0ms (0.4%)

Memory

-32.7MiB live, 13.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	4.240610745003389e+203	1.2088906404444036e+206

Samples

32.0ms

128×

valid

Compiler

Compiled 1 064 to 399 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 24.0ms (83.7% of total)

ival-add: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

ival-div: 1.0ms (3.5% 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

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9709680980700707e-34	0.04841981607136292

Compiler

Compiled 56 to 23 computations (58.9% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9709680980700707e-34	0.04841981607136292

Compiler

Compiled 56 to 23 computations (58.9% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9709680980700707e-34	0.04841981607136292

Compiler

Compiled 56 to 23 computations (58.9% saved)

bsearch10.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.6245967162834184e+231	8.121601791997391e+231

Samples

6.0ms

64×

valid

Compiler

Compiled 560 to 211 computations (62.3% saved)

Precisions

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

ival-mult: 2.0ms (51.1% of total)

ival-div: 1.0ms (25.6% of total)

ival-add: 1.0ms (25.6% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify60.0ms (0.5%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1812
1	260	1808
2	795	1808
3	5746	1682

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(if (<=.f64 i #s(literal 45999999999999997110682938782671328722500425045608951502709983281152 binary64)) (.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (* alpha (/ beta (+ (* 2 i) (+ alpha beta)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha beta) i)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))))
(if (<=.f64 beta #s(literal 4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (.f64 (/.f64 #s(approx (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))))
(if (<=.f64 beta #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 i alpha)) beta))) (/.f64 (.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))))
(if (<=.f64 beta #s(literal 4900000000000000334798807331485556572558685942891402545653953665807252404478933843491124045411809999219699807550437337248149876424228750732984069729678432594296832 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 119999999999999997538415841095926582630054065247537220855493315833354661617273566898078509965894825249302984690936643795495196024950063651033720913516400856155538191449180663109738068281273150958695763410944 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))))
(if (<=.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))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 (/.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))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 (/.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))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (.f64 i i) (.f64 beta beta)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 beta #s(literal 6599999999999999407498566692589776060420697820678271041603935993531351565163871763614045127252667365150969577527237118924979100770617804676977823506453490617126061339570153839339016140338615903820504380035465494141723473278276730880 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
(.f64 (/.f64 (fma.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))
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(if (<=.f64 beta #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (/ (/ (+ ( (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (- (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (+.f64 i alpha) beta)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))))
(if (<=.f64 beta #s(literal 4900000000000000334798807331485556572558685942891402545653953665807252404478933843491124045411809999219699807550437337248149876424228750732984069729678432594296832 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 i (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) beta))))
(if (<=.f64 beta #s(literal 119999999999999997538415841095926582630054065247537220855493315833354661617273566898078509965894825249302984690936643795495196024950063651033720913516400856155538191449180663109738068281273150958695763410944 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))))
(if (<=.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))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (+.f64 alpha i) i) (.f64 beta beta))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 (/.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))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (+.f64 alpha i) (/.f64 i (.f64 beta beta)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 (/.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))) #s(literal 1461501637330903/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (/.f64 (.f64 i i) (.f64 beta beta)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 beta #s(literal 6599999999999999407498566692589776060420697820678271041603935993531351565163871763614045127252667365150969577527237118924979100770617804676977823506453490617126061339570153839339016140338615903820504380035465494141723473278276730880 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (+ alpha i) (/ i (* beta beta))) (.f64 alpha (/.f64 i (.f64 beta beta))))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness1.4s (12.1%)

Memory

-21.8MiB live, 1 157.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	725
0	125	649
1	581	592
2	5396	592
0	9046	581
0	70	623
0	112	529
1	518	502
2	4936	502
0	8366	496
0	2499	27142
0	9013	24725
0	66	691
0	113	599
1	441	563
2	4068	563
0	8238	550
0	1089	11239
1	4076	10377
0	8872	9515
0	17	157
0	29	127
1	149	127
2	1506	127
0	9159	117
0	1491	13161
1	5500	12928
0	8134	11875
0	3005	30644
0	8148	29585

Stop Event

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

Compiler

Compiled 3 421 to 767 computations (77.6% saved)

preprocess90.0ms (0.8%)

Memory: -33.5MiB live, 205.0MiB allocated
Remove: (sort alpha beta)
Compiler: Compiled 3 836 to 370 computations (90.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.1%)

sample1.9s (16.6%)

explain313.0ms (2.7%)

preprocess219.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify145.0ms (1.3%)

localize43.0ms (0.4%)

series78.0ms (0.7%)

simplify274.0ms (2.4%)

rewrite254.0ms (2.2%)

eval244.0ms (2.1%)

prune699.0ms (6.1%)

simplify204.0ms (1.8%)

localize169.0ms (1.5%)

series83.0ms (0.7%)

simplify503.0ms (4.4%)

rewrite218.0ms (1.9%)

eval352.0ms (3.1%)

prune238.0ms (2.1%)

simplify546.0ms (4.8%)

localize320.0ms (2.8%)

series218.0ms (1.9%)

simplify252.0ms (2.2%)

rewrite231.0ms (2%)

eval214.0ms (1.9%)

prune57.0ms (0.5%)

simplify180.0ms (1.6%)

localize191.0ms (1.7%)

series127.0ms (1.1%)

simplify233.0ms (2%)

rewrite255.0ms (2.2%)

eval252.0ms (2.2%)

prune106.0ms (0.9%)

regimes139.0ms (1.2%)

regimes123.0ms (1.1%)

regimes85.0ms (0.7%)

regimes108.0ms (1%)

regimes19.0ms (0.2%)

regimes77.0ms (0.7%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes29.0ms (0.3%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch29.0ms (0.3%)

bsearch15.0ms (0.1%)

bsearch4.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch40.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify60.0ms (0.5%)

soundness1.4s (12.1%)

preprocess90.0ms (0.8%)

end0.0ms (0%)

Profiling