Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze100.0ms (1%)

Memory

14.1MiB live, 96.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	28.1%	71.9%	0%	0%	0%	0
0%	0%	28.1%	71.9%	0%	0%	0%	1
0%	0%	28.1%	71.9%	0%	0%	0%	2
25%	7%	21.1%	71.9%	0%	0%	0%	3
62.5%	17.5%	10.5%	71.9%	0%	0%	0%	4
75%	21.1%	7%	71.9%	0%	0%	0%	5
81.3%	22.8%	5.3%	71.9%	0%	0%	0%	6
82.8%	23.2%	4.8%	71.9%	0%	0%	0%	7
83.6%	23.5%	4.6%	71.9%	0%	0%	0%	8
87.1%	24.5%	3.6%	71.9%	0%	0%	0%	9
89.1%	25%	3.1%	71.9%	0%	0%	0%	10
91.5%	25.7%	2.4%	71.9%	0%	0%	0%	11
93.6%	26.3%	1.8%	71.9%	0%	0%	0%	12

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample1.8s (17.3%)

Memory

49.4MiB live, 2 667.2MiB allocated

Samples

759.0ms	6 631×	0	valid
436.0ms	1 175×	1	valid
170.0ms	450×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 440.0ms (40% of total)

ival-add: 241.0ms (21.9% of total)

ival-mult: 154.0ms (14% of total)

ival->: 98.0ms (8.9% of total)

adjust: 77.0ms (7% of total)

ival-sub: 56.0ms (5.1% of total)

ival-and: 16.0ms (1.5% of total)

exact: 16.0ms (1.5% of total)

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

Bogosity

explain250.0ms (2.4%)

Memory

-11.9MiB live, 359.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
85	-	1	(-6.18076554912731e-159 -4.691169435034419e-245 2.0562784708915783e-290)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
55	-	0	-	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`alpha`
0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`(-.f64 beta alpha)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	80	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	80
`+.f64`	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	55	0

Confusion

	Predicted +	Predicted -
+	103	0
-	0	153

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	103	0	0
-	0	0	153

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	153
1	71
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	410×	0	valid
13.0ms	70×	1	valid
13.0ms	32×	2	valid

Compiler

Compiled 299 to 49 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 14.0ms (33.3% of total)

ival-add: 12.0ms (28.5% of total)

ival-mult: 7.0ms (16.6% of total)

adjust: 4.0ms (9.5% of total)

ival-sub: 3.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess211.0ms (2%)

Memory

15.2MiB live, 245.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 848×	`lower-fma.f64`
16 848×	`lower-fma.f32`
3 846×	`lower-+.f32`
3 838×	`lower-+.f64`
3 552×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	269
1	186	263
2	682	263
3	3464	261
0	15	29
0	25	29
1	43	29
2	118	29
3	486	29
4	2368	29
5	3813	29
6	5109	29
0	8083	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Status

Accuracy

Program

▶

61.3%

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

simplify431.0ms (4.1%)

Memory

19.0MiB live, 221.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

16 848×	`lower-fma.f64`
16 848×	`lower-fma.f32`
3 846×	`lower-+.f32`
3 838×	`lower-+.f64`
3 552×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	133
0	25	133
1	43	133
2	118	133
3	486	133
4	2368	133
5	3813	133
6	5109	133
0	8083	122

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.3%)

Memory

-25.2MiB live, 98.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0.05859375	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	12.336641748758879	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	19.66898888312931	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

72.0ms	35×	1	valid
23.0ms	205×	0	valid
5.0ms	16×	2	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

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

ival-mult: 71.0ms (82% of total)

ival-add: 6.0ms (6.9% of total)

ival-div: 5.0ms (5.8% of total)

adjust: 2.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.8%)

Memory

13.9MiB live, 91.3MiB allocated

Counts

6 → 204

Calls

Call 1

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

Outputs
#s(alt (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	i	@	inf	((+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ alpha beta) (- beta alpha)))
7.0ms	beta	@	-inf	((+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ alpha beta) (- beta alpha)))
6.0ms	alpha	@	-inf	((+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ alpha beta) (- beta alpha)))
5.0ms	alpha	@	inf	((+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ alpha beta) (- beta alpha)))
5.0ms	beta	@	0	((+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ alpha beta) (- beta alpha)))

simplify535.0ms (5.1%)

Memory

-111.1MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 562×	`lower-fma.f64`
6 562×	`lower-fma.f32`
6 328×	`lower-*.f64`
6 328×	`lower-*.f32`
5 518×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	13190
1	3283	11526
0	9161	10389

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

Inputs
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
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(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
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(* -1 (pow alpha 2))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
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(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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1
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
1
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ beta (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
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alpha
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alpha
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(* -1 alpha)
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(* -1 (pow alpha 2))
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(- (+ 1 (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(+ alpha beta)
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
(/ (- beta alpha) (+ 2 (+ alpha beta)))
(- (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))

Outputs
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
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(+ alpha (* 2 i))
(fma.f64 i #s(literal 2 binary64) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) beta) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta))) (/.f64 #s(literal 2 binary64) beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
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beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(fma.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) beta beta)
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(fma.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) beta beta)
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(fma.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) beta beta)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
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(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
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1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
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beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (.f64 (/.f64 i beta) #s(literal 2 binary64))) beta)
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 beta beta)))) beta)
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) (*.f64 beta beta))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) (*.f64 beta beta))
2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha)) beta))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
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beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
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1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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beta
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(pow beta 2)
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(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
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(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ beta (* 2 i))
(fma.f64 i #s(literal 2 binary64) beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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(/ (pow beta 2) (+ beta (* 2 i)))
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (.f64 beta beta) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 alpha alpha)))) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (.f64 beta beta) alpha) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))))) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 alpha alpha))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(fma.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) alpha alpha)
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(fma.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) alpha alpha)
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(fma.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) alpha alpha)
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
(-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))
(- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
(-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 beta alpha)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(.f64 (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)))) alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 beta)) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha))) (/.f64 beta alpha)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)))) alpha)
(* -1 (pow alpha 2))
(*.f64 (neg.f64 alpha) alpha)
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(*.f64 (neg.f64 alpha) alpha)
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(.f64 (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(.f64 (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (neg.f64 alpha)) (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (neg.f64 alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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alpha
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(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(- (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)
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(* -1 alpha)
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(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 alpha i)) (/.f64 beta i)) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)))) (pow.f64 i #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64)))))) #s(literal 1/2 binary64))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) i) #s(literal -1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (*.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) (fma.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) i) #s(literal -1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))) (*.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(/.f64 (-.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/64 binary64) (+.f64 beta alpha) #s(literal -1/32 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 i #s(literal 3 binary64))))) (fma.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) i) (/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)) i) (.f64 #s(literal 1/16 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) i))))) (.f64 i i))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal -1/4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) i) (/.f64 (-.f64 beta alpha) i) (fma.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (-.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/16 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (/.f64 (-.f64 beta alpha) i)) (.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64))))) i)
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/16 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)) (+.f64 beta alpha)) i) #s(literal -1/64 binary64) (fma.f64 (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i))) #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) #s(literal -1/16 binary64)))) (neg.f64 (pow.f64 i #s(literal 3 binary64))))) #s(literal 1 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (+.f64 beta alpha)) (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)))) (neg.f64 (pow.f64 i #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)) (+.f64 beta alpha)) i) #s(literal -1/64 binary64) (fma.f64 (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i))) #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) #s(literal -1/16 binary64)))) (neg.f64 i))) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha))))) i) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal -1/64 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha))))))) i) #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) #s(literal -1/16 binary64))) (neg.f64 i))) (*.f64 i i))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (neg.f64 i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/8 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (neg.f64 i))) (neg.f64 i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (-.f64 beta alpha)))) i) #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (neg.f64 i))) (neg.f64 i))

rewrite311.0ms (3%)

Memory

-17.8MiB live, 343.7MiB allocated

Rules

5 612×	`lower-/.f32`
5 606×	`lower-/.f64`
5 576×	`lower-*.f32`
5 572×	`lower-*.f64`
3 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
0	25	110
1	125	110
2	1197	110
0	8707	100

Stop Event

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

Counts

6 → 364

Calls

Call 1

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

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

eval173.0ms (1.7%)

Memory: -2.0MiB live, 157.1MiB allocated
Compiler: Compiled 30 400 to 2 983 computations (90.2% saved)

prune36.0ms (0.3%)

Memory

13.5MiB live, 61.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	624	14	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	625	14	639

Accuracy

99.8%

Counts

639 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	68.1%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	80.6%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	2.4%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	20.2%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
	39.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
	15.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha))
	23.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
▶	68.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	59.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 424 to 482 computations (66.2% saved)

simplify187.0ms (1.8%)

Memory

-18.7MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	128	(-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
cost-diff	320	(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64))
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

10 812×	`lower-fma.f32`
10 796×	`lower-fma.f64`
3 882×	`lower-+.f32`
3 866×	`lower-+.f64`
3 252×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	884
0	100	862
1	199	862
2	503	853
3	1906	853
4	4945	853
0	8220	822

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (2.5%)

Memory

-10.6MiB live, 145.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	12.336641748758879	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy	12.605468750000002	(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha)))
accuracy	20.281082802246683	(-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))
accuracy	49.48248879290787	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64))))
accuracy	0	(+.f64 beta alpha)
accuracy	0.0078125	(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	12.386539467386699	(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
accuracy	17.403328307817283	(/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
accuracy	0	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	16.051760904380416	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
accuracy	25.978296162813773	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0	(+.f64 beta alpha)
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.04296875	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	12.406765558339131	(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

102.0ms	189×	0	valid
54.0ms	45×	1	valid
23.0ms	22×	2	valid

Compiler

Compiled 753 to 61 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-div: 47.0ms (31.8% of total)

ival-sub: 43.0ms (29.1% of total)

ival-add: 26.0ms (17.6% of total)

ival-mult: 20.0ms (13.5% of total)

adjust: 11.0ms (7.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series176.0ms (1.7%)

Memory

27.3MiB live, 100.0MiB allocated

Counts

22 → 696

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (patch (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (patch (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64))) (patch (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (patch (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (patch (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) (patch #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())

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

9 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	inf	((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (+ 0 (* (/ beta alpha) (/ beta alpha))) (- (+ 0 (* (/ beta alpha) (/ beta alpha))) (+ (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) 1)) (+ (+ (* 4 i) (* beta 2)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1))
12.0ms	beta	@	0	((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (+ 0 (* (/ beta alpha) (/ beta alpha))) (- (+ 0 (* (/ beta alpha) (/ beta alpha))) (+ (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) 1)) (+ (+ (* 4 i) (* beta 2)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1))
11.0ms	i	@	-inf	((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (+ 0 (* (/ beta alpha) (/ beta alpha))) (- (+ 0 (* (/ beta alpha) (/ beta alpha))) (+ (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) 1)) (+ (+ (* 4 i) (* beta 2)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1))
10.0ms	beta	@	inf	((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (+ 0 (* (/ beta alpha) (/ beta alpha))) (- (+ 0 (* (/ beta alpha) (/ beta alpha))) (+ (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) 1)) (+ (+ (* 4 i) (* beta 2)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1))
8.0ms	alpha	@	0	((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (+ 0 (* (/ beta alpha) (/ beta alpha))) (- (+ 0 (* (/ beta alpha) (/ beta alpha))) (+ (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) 1)) (+ (+ (* 4 i) (* beta 2)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- -2 (+ (* i 2) beta)) alpha) (/ (+ (* i 2) beta) alpha)) (+ (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha))) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1))

simplify446.0ms (4.3%)

Memory

9.2MiB live, 444.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 478×	`lower-*.f64`
6 478×	`lower-*.f32`
6 366×	`lower-fma.f64`
6 366×	`lower-fma.f32`
4 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2220	45335
1	7523	45335
0	8591	41104

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 687

Calls

Call 1

Inputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
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alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
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(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(/ 1 beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1 beta)
(/ (- (+ 1 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
(* -2 beta)
(* beta (- (* -4 (/ i beta)) (+ 2 (* 2 (/ 1 beta)))))
(* beta (- (* -4 (/ i beta)) (+ 2 (* 2 (/ 1 beta)))))
(* beta (- (* -4 (/ i beta)) (+ 2 (* 2 (/ 1 beta)))))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(* -2 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 2 (* alpha beta)) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta)))))))
(* (pow beta 2) (- (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta))) (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (/ 1 (pow beta 2)) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))))))
(* (pow beta 2) (- (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta))) (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (/ 1 (pow beta 2)) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))))))
(* 2 beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 3)))) (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 2)))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
1
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(* 3 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* alpha beta))))
(* (pow beta 2) (- (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* (pow beta 2) (- (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(/ 1 beta)
(* -1 (/ (- (/ alpha beta) (+ 1 (+ (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta)) (* -1 (/ (+ alpha (* 2 i)) beta))))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) beta)) 1) beta))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(/ 1 beta)
(* -1 (/ (- (* -1 (/ (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(* -2 beta)
(* -1 (* beta (+ 2 (* -1 (/ (- (* -4 i) 2) beta)))))
(* -1 (* beta (+ 2 (* -1 (/ (- (* -4 i) 2) beta)))))
(* -1 (* beta (+ 2 (* -1 (/ (- (* -4 i) 2) beta)))))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(* -2 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (* 4 (/ i (* (pow alpha 2) beta))) (+ (/ 2 (* alpha beta)) (/ 2 (* (pow alpha 2) beta))))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))))) beta)) (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))))) beta)) (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 i)))) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 i)))) (* -1 (/ (+ (* -1 (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i))))) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 alpha) (+ alpha (* 2 i)))) beta)) beta))) beta)))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
1
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
(* 3 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2)))))) beta)) (* 3 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 3 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 3 (/ 1 (pow alpha 2)))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (+ (* alpha (- (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* -1 (/ (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
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(/ (+ 2 (* 2 beta)) alpha)
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(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(/ 1 alpha)
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(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
-1
(- (* 2 (/ 1 alpha)) (+ 1 (* -1 (/ (+ (* 2 beta) (* 4 i)) alpha))))
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-1
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(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
-1
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(/ (- (* -1 (+ (* 2 beta) (* 4 i))) 2) alpha)
(/ (- (+ (* -1 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha))) 2) alpha)
(/ (- (+ (* -1 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha))) 2) alpha)
(/ (- (+ (* -1 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha))) 2) alpha)
(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
(/ (pow beta 2) (pow alpha 2))
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(pow alpha 2)
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-1
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(/ (- (* -1 (+ (* 2 beta) (* 4 i))) 2) alpha)
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(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* i (- (+ (* -1 (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2))))) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2)))) (* 4 (/ 1 alpha)))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2))))) (* 2 (/ 1 alpha)))
(- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* i (- (+ (* -1 (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2))))) (+ (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (* 12 (/ i (pow alpha 2))))) (* 4 (/ 1 alpha)))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2))))) (* 2 (/ 1 alpha)))
(- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* i (- (+ (* -1 (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2))))) (+ (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (* 12 (/ i (pow alpha 2))))) (* 4 (/ 1 alpha)))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2))))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 1/4 (/ (+ alpha beta) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (pow i 2))) (* 1/4 (+ alpha beta))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))))) (pow i 3))) (* 1/4 (+ alpha beta))) (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))))) (pow i 2))
(* -4 i)
(* i (- (* -2 (/ beta i)) (+ 4 (* 2 (/ 1 i)))))
(* i (- (* -2 (/ beta i)) (+ 4 (* 2 (/ 1 i)))))
(* i (- (* -2 (/ beta i)) (+ 4 (* 2 (/ 1 i)))))
(* -12 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (/ 4 (* alpha i)) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (* 12 (/ 1 (pow alpha 2)))))))
(* (pow i 2) (- (+ (* 2 (/ 1 (* alpha (pow i 2)))) (+ (/ 4 (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))) (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (+ (/ 1 (pow i 2)) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))))))
(* (pow i 2) (- (+ (* 2 (/ 1 (* alpha (pow i 2)))) (+ (/ 4 (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))) (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (+ (/ 1 (pow i 2)) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 1/2 (/ (- beta alpha) i))
(/ (+ (* -1/4 (/ (* (+ alpha beta) (- beta alpha)) i)) (* 1/2 (- beta alpha))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) (pow i 2))) (* 1/2 (- beta alpha))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 3))) (* 1/2 (- beta alpha))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i)))) i)
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 12 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (* 12 (/ 1 (pow alpha 2))))) (/ 4 (* alpha i))))
(* (pow i 2) (- (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))) (+ (* 2 (/ 1 (* alpha (pow i 2)))) (/ 4 (* alpha i)))))
(* (pow i 2) (- (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))) (+ (* 2 (/ 1 (* alpha (pow i 2)))) (/ 4 (* alpha i)))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 1/4 (/ (+ alpha beta) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) i))) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))))) i))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(* -4 i)
(* -1 (* i (+ 4 (* -1 (/ (- (* -2 beta) 2) i)))))
(* -1 (* i (+ 4 (* -1 (/ (- (* -2 beta) 2) i)))))
(* -1 (* i (+ 4 (* -1 (/ (- (* -2 beta) 2) i)))))
(* -12 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 2 (/ beta (* (pow alpha 2) i))) (+ (* 2 (/ (+ 2 beta) (* (pow alpha 2) i))) (/ 4 (* alpha i))))) (* 12 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ (pow beta 2) (pow alpha 2))) (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))))) i)) (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha)))))) i)) (* 12 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ (pow beta 2) (pow alpha 2))) (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))))) i)) (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha)))))) i)) (* 12 (/ 1 (pow alpha 2)))))
(* 4 i)
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* 1/2 (/ (- beta alpha) i))
(* -1 (/ (+ (* -1/2 (- beta alpha)) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* 12 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha))))) i)) (* 12 (/ 1 (pow alpha 2)))))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) i)) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha)))))) i)) (* 12 (/ 1 (pow alpha 2)))))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) i)) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha)))))) i)) (* 12 (/ 1 (pow alpha 2)))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))

Outputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
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(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(fma.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
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(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
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alpha
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(* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))
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(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(* -1 alpha)
(neg.f64 alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(/.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha))
(+ (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) alpha) (*.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))))) beta (/.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (* -1 (* beta (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) alpha) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) alpha) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta (/.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ 1 (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
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(- (* -4 i) 2)
(fma.f64 #s(literal -4 binary64) i #s(literal -2 binary64))
(- (+ (* -4 i) (* -2 beta)) 2)
(fma.f64 #s(literal -4 binary64) i (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))
(- (+ (* -4 i) (* -2 beta)) 2)
(fma.f64 #s(literal -4 binary64) i (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))
(- (+ (* -4 i) (* -2 beta)) 2)
(fma.f64 #s(literal -4 binary64) i (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(- (* 2 (/ 1 alpha)) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (fma.f64 (/.f64 i alpha) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)))))
(- (+ (* 2 (/ 1 alpha)) (* beta (- (* 2 (/ 1 alpha)) (+ (* -1 (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2))))) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))))) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2))))))
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(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha))) (+ (* -1 (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2))))) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))))) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2))))))
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(+ 2 (* 4 i))
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(+ 2 (+ (* 2 beta) (* 4 i)))
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(+ 2 (+ (* 2 beta) (* 4 i)))
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1
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2
#s(literal 2 binary64)
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beta
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1
#s(literal 1 binary64)
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1
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#s(literal 1 binary64)
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2
#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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beta
(* beta (+ 1 (* -1 (/ alpha beta))))
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(* beta (+ 1 (* -1 (/ alpha beta))))
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(* beta (+ 1 (* -1 (/ alpha beta))))
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(/ 1 beta)
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(/ (- (+ 1 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
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(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
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(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
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(* -2 beta)
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(* beta (- (* -4 (/ i beta)) (+ 2 (* 2 (/ 1 beta)))))
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(* beta (- (* -4 (/ i beta)) (+ 2 (* 2 (/ 1 beta)))))
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(* beta (- (* -4 (/ i beta)) (+ 2 (* 2 (/ 1 beta)))))
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(/ (pow beta 2) (pow alpha 2))
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(/ (pow beta 2) (pow alpha 2))
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(/ (pow beta 2) (pow alpha 2))
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(/ (pow beta 2) (pow alpha 2))
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(* -2 (/ (pow beta 2) (pow alpha 2)))
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(* (pow beta 2) (- (/ 2 (* alpha beta)) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta)))))))
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(* (pow beta 2) (- (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta))) (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (/ 1 (pow beta 2)) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))))))
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(* (pow beta 2) (- (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta))) (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (/ 1 (pow beta 2)) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))))))
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(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) beta)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (/.f64 (-.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (/.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 3)))) (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 2)))))
(-.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (neg.f64 alpha) beta)) #s(literal 1 binary64)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (/.f64 (-.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (/.f64 alpha beta))))
2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (.f64 alpha alpha) beta) (/.f64 alpha beta))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (-.f64 (neg.f64 (.f64 alpha alpha)) (fma.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (.f64 alpha alpha) beta) (/.f64 alpha beta)))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 #s(literal 2 binary64) beta)))) #s(literal 1 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 #s(literal 2 binary64) beta)))) #s(literal 1 binary64)) (.f64 beta beta))
1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (.f64 alpha alpha) beta) (/.f64 alpha beta))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)))))
(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (-.f64 (neg.f64 (.f64 alpha alpha)) (fma.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (.f64 alpha alpha) beta) (/.f64 alpha beta)))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)))))
(* 3 (/ (pow beta 2) (pow alpha 2)))
(.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (.f64 beta beta) alpha))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* alpha beta))))
(.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 i (.f64 alpha alpha)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) beta) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)))) (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta)) (.f64 beta beta))
(* (pow beta 2) (- (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
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(* (pow beta 2) (- (+ (* -4 (/ i (* alpha (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i (pow alpha 2))) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (* (pow alpha 2) (pow beta 2)))))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
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2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
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(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
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2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha)))) beta))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal -1 binary64) (/.f64 (.f64 alpha alpha) beta)) (fma.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) (/.f64 (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) beta))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (/ alpha beta) (+ 1 (+ (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta)) (* -1 (/ (+ alpha (* 2 i)) beta))))) beta))
(neg.f64 (/.f64 (-.f64 (/.f64 alpha beta) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 alpha (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 alpha (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha)))))) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) beta)) 1) beta))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) beta) #s(literal 1/2 binary64) (.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) beta) #s(literal 1/2 binary64) (.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (*.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) beta) #s(literal 1/2 binary64) (.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (*.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* -1 (/ (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 alpha (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 alpha (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (-.f64 alpha (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) (/.f64 (*.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) beta)) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha)))))) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 alpha (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 i #s(literal 2 binary64) alpha)) beta) (neg.f64 (.f64 (fma.f64 (-.f64 alpha (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) beta)))) (fma.f64 (-.f64 alpha (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)))) beta) #s(literal -1 binary64) alpha) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))))) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -2 beta)
(*.f64 #s(literal -2 binary64) beta)
(* -1 (* beta (+ 2 (* -1 (/ (- (* -4 i) 2) beta)))))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) i #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))
(* -1 (* beta (+ 2 (* -1 (/ (- (* -4 i) 2) beta)))))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) i #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))
(* -1 (* beta (+ 2 (* -1 (/ (- (* -4 i) 2) beta)))))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) i #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(* -2 (/ (pow beta 2) (pow alpha 2)))
(.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 beta beta) alpha))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* (pow alpha 2) beta))) (+ (* 4 (/ i (* (pow alpha 2) beta))) (+ (/ 2 (* alpha beta)) (/ 2 (* (pow alpha 2) beta))))) (* 2 (/ 1 (pow alpha 2)))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) beta) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i (.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)) beta) (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta)))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) (.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))))) beta)) (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (fma.f64 (/.f64 i alpha) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha))))) beta)) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (+.f64 (fma.f64 (/.f64 i (.f64 alpha alpha)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) (/.f64 #s(literal 2 binary64) alpha)))) beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) (+ 1 (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))))) beta)) (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (fma.f64 (/.f64 i alpha) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha))))) beta)) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (+.f64 (fma.f64 (/.f64 i (.f64 alpha alpha)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) (/.f64 #s(literal 2 binary64) alpha)))) beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) (*.f64 beta beta))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)))
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1
#s(literal 1 binary64)
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2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
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1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(+ 1 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
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(* 3 (/ (pow beta 2) (pow alpha 2)))
(.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (.f64 beta beta) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2)))))) beta)) (* 3 (/ 1 (pow alpha 2)))))
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(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 3 (/ 1 (pow alpha 2)))))
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(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -4 (/ i alpha)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) beta)) (* 3 (/ 1 (pow alpha 2)))))
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2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
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beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta))
(+ (* alpha (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) beta) (*.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) beta) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) beta) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ 1 (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (pow beta 2) (pow alpha 2))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) (pow alpha 2))
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/ (- (+ (* alpha (- 2 (* -1 (+ (* 2 beta) (* 4 i))))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) (pow alpha 2))
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))))) alpha (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 alpha alpha))
(/ (- (+ (* alpha (- (+ 2 (* -1 alpha)) (* -1 (+ (* 2 beta) (* 4 i))))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) (pow alpha 2))
(/.f64 (fma.f64 (-.f64 (fma.f64 alpha #s(literal -1 binary64) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))))) alpha (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 alpha alpha))
(/ (- (+ (* alpha (- (+ 2 (* -1 alpha)) (* -1 (+ (* 2 beta) (* 4 i))))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) (pow alpha 2))
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(/ beta (+ beta (* 2 i)))
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(+ (* -1 (* alpha (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2))))) (/ beta (+ beta (* 2 i))))
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))) (+ beta (* 2 i))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2))))) (/ beta (+ beta (* 2 i))))
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alpha
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))) alpha)
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha)) (fma.f64 beta #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 alpha alpha)))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
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-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal 1 binary64)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 beta alpha)) (+.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 1 binary64)))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
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(/ (- (+ (* -1 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha))) 2) alpha)
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(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))))) alpha))) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))))) alpha) (.f64 beta beta)) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))))) alpha))) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 beta (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha) (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (-.f64 beta (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))) alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) beta) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))))) alpha) #s(literal -1/2 binary64) (.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (-.f64 (neg.f64 beta) (fma.f64 i #s(literal 2 binary64) beta)) alpha)) #s(literal -1 binary64) (neg.f64 beta)) (fma.f64 i #s(literal 2 binary64) beta)) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 beta) (+ beta (* 2 i)))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 beta) (+ beta (* 2 i)))))) alpha))) (+ beta (* 2 i))) alpha)) 1)
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 beta) (fma.f64 i #s(literal 2 binary64) beta)) alpha))) (.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) (fma.f64 i #s(literal 2 binary64) beta)))) alpha)) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))))) alpha))) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)))))) alpha) (.f64 beta beta)) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))))) alpha))) (neg.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) alpha))))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)
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(- (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)
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(- (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)
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(/ (- (* -1 (+ (* 2 beta) (* 4 i))) 2) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha)
(* -1 (/ (+ (* -1 (- (* -1 (+ (* 2 beta) (* 4 i))) 2)) (* -1 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)))) alpha))
(* -1 (/ (+ (* -1 (- (* -1 (+ (* 2 beta) (* 4 i))) 2)) (* -1 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (- (* -1 (+ (* 2 beta) (* 4 i))) 2)) (* -1 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha))) alpha))
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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1/2
#s(literal 1/2 binary64)
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1
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
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(* 1/4 (/ (+ alpha beta) (pow i 2)))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (+.f64 beta alpha) i))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/.f64 (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) i)) #s(literal -1/16 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) (.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (pow i 2))) (* 1/4 (+ alpha beta))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))) (pow i 2))
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(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))))) (pow i 3))) (* 1/4 (+ alpha beta))) (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))))) (pow i 2))
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) (.f64 (.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha)))) #s(literal -1/64 binary64))) (pow.f64 i #s(literal 3 binary64))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 beta alpha)) i) (/.f64 #s(literal -1/64 binary64) i) (.f64 #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) i) (.f64 (+.f64 beta alpha) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) i)))))) (.f64 i i))
(* -4 i)
(*.f64 #s(literal -4 binary64) i)
(* i (- (* -2 (/ beta i)) (+ 4 (* 2 (/ 1 i)))))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 beta i) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) i)) i)
(* i (- (* -2 (/ beta i)) (+ 4 (* 2 (/ 1 i)))))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 beta i) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) i)) i)
(* i (- (* -2 (/ beta i)) (+ 4 (* 2 (/ 1 i)))))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 beta i) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) i)) i)
(* -12 (/ (pow i 2) (pow alpha 2)))
(.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (.f64 i i) alpha))
(* (pow i 2) (- (/ 4 (* alpha i)) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (* 12 (/ 1 (pow alpha 2)))))))
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(* (pow i 2) (- (+ (* 2 (/ 1 (* alpha (pow i 2)))) (+ (/ 4 (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))) (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (+ (/ 1 (pow i 2)) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta (.f64 i i)) (/.f64 beta (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 4 binary64) alpha) i)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 i i) alpha))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 i i)) (/.f64 beta alpha) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) (.f64 i i)) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha alpha)))) i) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 8 binary64) i) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 #s(literal 12 binary64) (.f64 alpha alpha)))))))) (.f64 i i))
(* (pow i 2) (- (+ (* 2 (/ 1 (* alpha (pow i 2)))) (+ (/ 4 (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))) (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (+ (/ 1 (pow i 2)) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))))))
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(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)) i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)) i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)) i)
(* 1/2 (/ (- beta alpha) i))
(*.f64 (/.f64 (-.f64 beta alpha) i) #s(literal 1/2 binary64))
(/ (+ (* -1/4 (/ (* (+ alpha beta) (- beta alpha)) i)) (* 1/2 (- beta alpha))) i)
(/.f64 (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal -1/4 binary64) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) (pow i 2))) (* 1/2 (- beta alpha))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i))) i)
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) (/.f64 (-.f64 beta alpha) i) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 3))) (* 1/2 (- beta alpha))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i)))) i)
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (-.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/16 binary64) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) (.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64)))) i)
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) #s(literal 1 binary64))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (pow.f64 i #s(literal 4 binary64))))) #s(literal 1 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 beta alpha) (/.f64 (.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) (-.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64))))))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 4 binary64)) (.f64 i i))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) i) (/.f64 (+.f64 beta alpha) i)) (.f64 (/.f64 (+.f64 beta alpha) i) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) i))) #s(literal 4 binary64)) (*.f64 i i))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) i) (/.f64 (+.f64 beta alpha) i)) (.f64 (/.f64 (+.f64 beta alpha) i) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) i))) #s(literal 4 binary64)) (*.f64 i i))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (.f64 (+.f64 beta alpha) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) i))) #s(literal -1/16 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
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(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
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(* 12 (/ (pow i 2) (pow alpha 2)))
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(* (pow i 2) (- (+ (* -2 (/ beta (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* (pow alpha 2) (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta (pow alpha 2))) (* 2 (/ (+ 2 beta) (pow alpha 2)))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* (pow alpha 2) i))) (+ (* 12 (/ 1 (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (* (pow alpha 2) (pow i 2)))))))) (+ (* 2 (/ 1 (* alpha (pow i 2)))) (/ 4 (* alpha i)))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
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(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
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(* 1/4 (/ (- beta alpha) (pow i 2)))
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(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
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(* 4 (pow i 2))
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(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
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(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
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(* 12 (/ (pow i 2) (pow alpha 2)))
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(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha))) i) #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (.f64 alpha alpha))) (*.f64 i i))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) i)) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha)))))) i)) (* 12 (/ 1 (pow alpha 2)))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 alpha alpha)) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)))) (/.f64 #s(literal 2 binary64) alpha)) i) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha)))) i) #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (.f64 alpha alpha))) (.f64 i i))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -1 (/ (- (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (* 2 (/ 1 alpha))) i)) (+ (* 2 (/ beta (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 4 (/ 1 alpha)))))) i)) (* 12 (/ 1 (pow alpha 2)))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 alpha alpha)) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)))) (/.f64 #s(literal 2 binary64) alpha)) i) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha)))) i) #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (.f64 alpha alpha))) (.f64 i i))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 beta alpha)) (.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) (-.f64 beta alpha))) (pow.f64 i #s(literal 3 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 beta alpha) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i))) #s(literal -1/64 binary64) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha))) i) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 beta alpha)) (.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 beta alpha))) (-.f64 beta alpha))))) (pow.f64 i #s(literal 3 binary64))))) #s(literal 1 binary64))

rewrite217.0ms (2.1%)

Memory

32.9MiB live, 411.8MiB allocated

Rules

5 238×	`lower-*.f32`
5 230×	`lower-*.f64`
4 876×	`lower-fma.f32`
4 860×	`lower-fma.f64`
3 228×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	580
0	98	522
1	556	522
2	5935	522
0	8870	510

Stop Event

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

Counts

22 → 699

Calls

Call 1

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

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

eval371.0ms (3.6%)

Memory: -0.3MiB live, 753.8MiB allocated
Compiler: Compiled 101 566 to 7 844 computations (92.3% saved)

prune68.0ms (0.6%)

Memory

-10.7MiB live, 164.5MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 779	9	1 788
Fresh	2	7	9
Picked	4	1	5
Done	0	0	0
Total	1 785	17	1 802

Accuracy

99.8%

Counts

1 802 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	69.1%	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	20.2%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
	68.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	39.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
▶	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
	15.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha))
	23.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	62.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	73.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	3.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	18.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) #s(literal 1/2 binary64)))
	51.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)))
▶	26.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64)))
✓	59.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 346 to 513 computations (61.9% saved)

simplify167.0ms (1.6%)

Memory

-28.4MiB live, 247.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	128	(-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))
cost-diff	1536	(fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
cost-diff	0	(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) i)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)
cost-diff	0	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64))

Rules

9 986×	`lower-fma.f32`
9 970×	`lower-fma.f64`
4 092×	`lower-+.f32`
4 080×	`lower-+.f64`
3 940×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	1132
0	107	1122
1	233	1082
2	787	1082
3	4297	1044
0	8232	990

Stop Event

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

Calls

Call 1

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

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

localize224.0ms (2.1%)

Memory

0.0MiB live, 398.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	11.57412379818948	(-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))
accuracy	16.363618402514394	(fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))))
accuracy	30.345773545404338	(fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
accuracy	49.11163909489532	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
accuracy	0.015625	(/.f64 (-.f64 beta alpha) i)
accuracy	0.13671875	(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))
accuracy	2.6480133283375498	(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
accuracy	38.477310302934136	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	44.67197784697443	#s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64)))
accuracy	40.01038607966775	#s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
accuracy	16.051760904380416	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
accuracy	29.269087082882102	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))

Samples

77.0ms	45×	1	valid
71.0ms	189×	0	valid
28.0ms	22×	2	valid

Compiler

Compiled 1 012 to 64 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-div: 69.0ms (48.1% of total)

ival-mult: 33.0ms (23% of total)

ival-add: 25.0ms (17.4% of total)

adjust: 11.0ms (7.7% of total)

ival-sub: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series138.0ms (1.3%)

Memory

14.2MiB live, 369.3MiB allocated

Counts

23 → 636

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
19.0ms	i	@	0	((* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2) (/ beta (+ beta 2)) (+ (* 2 alpha) 2) (/ (- beta alpha) i) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))))
8.0ms	beta	@	inf	((* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2) (/ beta (+ beta 2)) (+ (* 2 alpha) 2) (/ (- beta alpha) i) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))))
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simplify269.0ms (2.6%)

Memory

22.4MiB live, 544.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 092×	`lower-fma.f64`
6 092×	`lower-fma.f32`
5 930×	`lower-*.f64`
5 930×	`lower-*.f32`
4 444×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1735	34823
1	5883	31304
0	8214	28189

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
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1
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1
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2
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1
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1
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1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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1
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1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
(* 1/8 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1/8 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (/ 1/2 (pow beta 2)) (* 1/8 (/ 1 (pow i 2)))))))
(* (pow beta 2) (+ (* -1/8 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (/ 1/2 (pow beta 2)) (* 1/8 (/ 1 (pow i 2)))))))
(/ (pow beta 2) i)
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (* -1 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (/ 1 i) (/ alpha (* beta i))))))
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (* -1 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (/ 1 i) (/ alpha (* beta i))))))
(* -2 (pow beta 3))
(* (pow beta 3) (- (+ (* -2 (/ (+ 2 (* 4 i)) beta)) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) beta)) (+ (* 2 (/ (+ 2 (* 2 i)) beta)) (+ (* 8 (/ i beta)) (* 2 (/ 1 beta)))))) 2))
(* (pow beta 3) (- (+ (* -2 (/ (+ 2 (* 4 i)) beta)) (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) beta)) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow beta 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow beta 2))) (+ (* 2 (/ (+ 2 (* 2 i)) beta)) (+ (* 8 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow beta 2)))))))))) 2))
(* (pow beta 3) (- (+ (* -2 (/ (+ 2 (* 4 i)) beta)) (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) beta)) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow beta 2))) (+ (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow beta 3))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow beta 2))) (+ (* 2 (/ (+ 2 (* 2 i)) beta)) (+ (* 8 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow beta 2)))))))))))) 2))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) beta)) (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 2)))) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) beta)) (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 2)))) (/ 1 alpha)))
(* -2 (pow beta 2))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (+ 2 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (+ 2 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta))))))
(* 2 beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(/ beta i)
(* beta (+ (* -1 (/ alpha (* beta i))) (/ 1 i)))
(* beta (+ (* -1 (/ alpha (* beta i))) (/ 1 i)))
(* beta (+ (* -1 (/ alpha (* beta i))) (/ 1 i)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (/ 1 (pow alpha 2))) (/ 1 (* alpha beta))))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (pow beta 2))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (pow beta 2))) (/ 1 (pow alpha 2))))) (/ 1 (* alpha beta))))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (pow beta 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow alpha 2))) (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow alpha 2)))) (pow beta 3))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (pow beta 2))) (+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 3))) (/ 1 (pow alpha 2))))))) (/ 1 (* alpha beta))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/8 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2)))) beta)) (* -1/8 (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2)))) beta)) (* -1/8 (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(/ (pow beta 2) i)
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ alpha i)) (/ alpha i))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ alpha i)) (/ alpha i))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i)))
(* -2 (pow beta 3))
(* -1 (* (pow beta 3) (+ 2 (* -1 (/ (+ (* -2 (+ 2 (* 4 i))) (+ (* -1 (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i))))) (+ (* 2 (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) (* 4 i)))) beta)))))
(* -1 (* (pow beta 3) (+ 2 (* -1 (/ (+ (* -2 (+ 2 (* 4 i))) (+ (* -1 (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i))))) (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (+ (* -1 (* (+ 2 (* 4 i)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))))) (+ (* 2 (* i (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i)))))) (* 2 (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))))) beta)) (+ (* 2 (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) (* 4 i))))) beta)))))
(* -1 (* (pow beta 3) (+ 2 (* -1 (/ (+ (* -2 (+ 2 (* 4 i))) (+ (* -1 (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i))))) (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (+ (* -1 (* (+ 2 (* 4 i)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))))) (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))) (* 2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))))) beta)) (+ (* 2 (* i (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i)))))) (* 2 (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))))))) beta)) (+ (* 2 (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) (* 4 i))))) beta)))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* 1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
(* -2 (pow beta 2))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))) 2))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (/ (pow (+ 2 (* 4 i)) 2) beta)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (/ (pow (+ 2 (* 4 i)) 2) beta)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) beta)) 2))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(/ beta i)
(* -1 (* beta (- (/ alpha (* beta i)) (/ 1 i))))
(* -1 (* beta (- (/ alpha (* beta i)) (/ 1 i))))
(* -1 (* beta (- (/ alpha (* beta i)) (/ 1 i))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* -1/2 (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) (pow alpha 2))) (* 4 (/ i (pow alpha 2))))))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (* 4 i))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (* i (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i))))) (pow alpha 2))) (* 2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2)))))))) beta)) (* -1/2 (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) (pow alpha 2))) (* 4 (/ i (pow alpha 2)))))))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow alpha 2))) (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow alpha 2))))) (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))))) beta)) (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (* 4 i))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (* i (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i))))) (pow alpha 2))) (* 2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))))))))) beta)) (* -1/2 (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) (pow alpha 2))) (* 4 (/ i (pow alpha 2)))))))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* 1/8 (* (+ alpha beta) (- beta alpha))) (* 1/2 (pow i 2))) (pow i 2))
(/ (+ (* 1/8 (* (+ alpha beta) (- beta alpha))) (* 1/2 (pow i 2))) (pow i 2))
(/ (+ (* 1/8 (* (+ alpha beta) (- beta alpha))) (* 1/2 (pow i 2))) (pow i 2))
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(* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))
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(- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(- (+ (* -1 (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))))) (pow beta 2)) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(- (+ (* i (- (* -12 i) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))))) (pow beta 2)) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
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(/ (- beta alpha) i)
(/ (- beta alpha) i)
(/ (- beta alpha) i)
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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(+ (* -1/2 (/ (+ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 2))) (+ (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))) (* i (+ (* -1/2 (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2)))))) (+ (* 1/2 (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (* i (- (+ (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2))))))) (* 16 (/ i (pow alpha 2)))) (* 6 (/ 1 alpha)))))))))
1/2
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1/2
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1/2
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(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(/ 1/8 i)
(/ 1/8 i)
(/ 1/8 i)
(/ 1/8 i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(* -32 (pow i 3))
(* (pow i 3) (- (+ (* -12 (/ (+ 2 (* 2 beta)) i)) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) i)) (* 8 (/ (+ 2 beta) i))))) 32))
(* (pow i 3) (- (+ (* -12 (/ (+ 2 (* 2 beta)) i)) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow i 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow i 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) i)) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow i 2))) (+ (* 8 (/ (+ 2 beta) i)) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow i 2))))))))) 32))
(* (pow i 3) (- (+ (* -12 (/ (+ 2 (* 2 beta)) i)) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow i 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow i 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) i)) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow i 2))) (+ (* 8 (/ (+ 2 beta) i)) (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow i 3)) (+ (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow i 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow i 3))))))))))) 32))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
(* -12 (pow i 2))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) 12))
(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(/ (- beta alpha) i)
(/ (- beta alpha) i)
(/ (- beta alpha) i)
(/ (- beta alpha) i)
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 16 (/ (pow i 3) (pow alpha 2)))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (* 16 (/ 1 (pow alpha 2)))) (/ 6 (* alpha i))))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (* 16 (/ 1 (pow alpha 2)))))) (/ 6 (* alpha i))))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (pow i 3))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 3))) (* 16 (/ 1 (pow alpha 2)))))))) (/ 6 (* alpha i))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(/ 1/8 i)
(/ 1/8 i)
(/ 1/8 i)
(/ 1/8 i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(* -32 (pow i 3))
(* -1 (* (pow i 3) (+ 32 (* -1 (/ (+ (* -12 (+ 2 (* 2 beta))) (+ (* -2 (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (+ (* 4 (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 8 beta)))) i)))))
(* -1 (* (pow i 3) (+ 32 (* -1 (/ (+ (* -12 (+ 2 (* 2 beta))) (+ (* -2 (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (+ (* -1 (/ (+ (* -4 (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (+ (* -2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))))) (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))))))) i)) (+ (* 4 (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 8 beta))))) i)))))
(* -1 (* (pow i 3) (+ 32 (* -1 (/ (+ (* -12 (+ 2 (* 2 beta))) (+ (* -2 (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (+ (* -1 (/ (+ (* -4 (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (+ (* -2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+ (* -1 (/ (+ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))))) i)) (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))))))) i)) (+ (* 4 (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 8 beta))))) i)))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(* -12 (pow i 2))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) i)) (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))) 12))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(* 4 i)
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(/ (- beta alpha) i)
(/ (- beta alpha) i)
(/ (- beta alpha) i)
(/ (- beta alpha) i)
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 16 (/ (pow i 3) (pow alpha 2)))
(* -1 (* (pow i 3) (- (* -1 (/ (- (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2)))) (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))) i)) (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2)))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) beta (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (/.f64 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (.f64 (neg.f64 alpha) alpha) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 3 binary64))))) (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (/.f64 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (/.f64 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) beta (.f64 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) beta (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
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(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
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(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (* 4 i))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (* i (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i))))) (pow alpha 2))) (* 2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2)))))))) beta)) (* -1/2 (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -1 (/ (+ (* -2 (+ 2 (* 2 i))) (* -1 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) (pow alpha 2))) (* 4 (/ i (pow alpha 2)))))))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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(* -1 (/ (pow alpha 2) i))
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(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(* 2 alpha)
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))) (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))))
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(+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))) (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
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(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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(* (pow i 3) (- (+ (* -12 (/ (+ 2 (* 2 beta)) i)) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow i 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow i 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) i)) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow i 2))) (+ (* 8 (/ (+ 2 beta) i)) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow i 2))))))))) 32))
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(* (pow i 3) (- (+ (* -12 (/ (+ 2 (* 2 beta)) i)) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow i 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow i 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) i)) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow i 2))) (+ (* 8 (/ (+ 2 beta) i)) (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow i 3)) (+ (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow i 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow i 3))))))))))) 32))
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(* -6 (/ (pow i 2) alpha))
(.f64 (/.f64 (.f64 i i) alpha) #s(literal -6 binary64))
(* (pow i 2) (- (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 6 (/ 1 alpha))))
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(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
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(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
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(* -12 (pow i 2))
(.f64 #s(literal -12 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) 12))
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(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
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(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
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(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)) i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)) i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64)) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (pow.f64 i #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)))) (pow.f64 i #s(literal 3 binary64)))) #s(literal -1/32 binary64) (.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i)))) #s(literal 1/2 binary64))
(* 16 (/ (pow i 3) (pow alpha 2)))
(*.f64 (/.f64 #s(literal 16 binary64) alpha) (/.f64 (pow.f64 i #s(literal 3 binary64)) alpha))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (* 16 (/ 1 (pow alpha 2)))) (/ 6 (* alpha i))))
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(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (* 16 (/ 1 (pow alpha 2)))))) (/ 6 (* alpha i))))
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(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (pow i 3))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 3))) (* 16 (/ 1 (pow alpha 2)))))))) (/ 6 (* alpha i))))
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(* -1 (* (pow i 3) (+ 32 (* -1 (/ (+ (* -12 (+ 2 (* 2 beta))) (+ (* -2 (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (+ (* -1 (/ (+ (* -4 (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (+ (* -2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+ (* -1 (/ (+ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))))) i)) (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))))))) i)) (+ (* 4 (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 8 beta))))) i)))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (-.f64 #s(literal 32 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal -2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 4 binary64) (.f64 #s(literal 8 binary64) beta)) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (neg.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) (-.f64 (.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) beta) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) i))))) i)))) i)))
(* -6 (/ (pow i 2) alpha))
(.f64 (/.f64 (.f64 i i) alpha) #s(literal -6 binary64))
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 6 (/ 1 alpha))))
(.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) alpha))) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) i))) i)) (/.f64 #s(literal 6 binary64) alpha)) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) i))) i)) (/.f64 #s(literal 6 binary64) alpha)) (*.f64 i i))
(* -12 (pow i 2))
(.f64 #s(literal -12 binary64) (.f64 i i))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) i)) (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))) 12))
(.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 (+.f64 beta #s(literal 2 binary64)) i)) #s(literal -12 binary64))) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) i)) (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))) i) #s(literal -1 binary64) #s(literal -12 binary64)) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) i)) (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))) i) #s(literal -1 binary64) #s(literal -12 binary64)) (.f64 i i))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 binary64)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 binary64)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 binary64)))
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) (-.f64 beta alpha)) (pow.f64 i #s(literal 3 binary64)))) #s(literal 1/32 binary64) (.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (+.f64 beta alpha)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha))) (-.f64 beta alpha)))) (pow.f64 i #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (+.f64 beta alpha)) i) (/.f64 (-.f64 beta alpha) i)))
(* 16 (/ (pow i 3) (pow alpha 2)))
(*.f64 (/.f64 #s(literal 16 binary64) alpha) (/.f64 (pow.f64 i #s(literal 3 binary64)) alpha))
(* -1 (* (pow i 3) (- (* -1 (/ (- (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 #s(literal -2 binary64) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 beta alpha) (.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha) (/.f64 #s(literal 4 binary64) alpha))))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) alpha)))) i) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 #s(literal -2 binary64) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 beta alpha) (.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha) (/.f64 #s(literal 4 binary64) alpha))))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (neg.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha) (.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 beta alpha))))))) i)) (/.f64 #s(literal 6 binary64) alpha))) i) (/.f64 #s(literal 16 binary64) (.f64 alpha alpha))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2)))) (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))) i)) (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2)))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 #s(literal -2 binary64) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 beta alpha) (.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha) (/.f64 #s(literal 4 binary64) alpha))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (neg.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha) (.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 beta alpha)))))) (/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)))) #s(literal -1/2 binary64) (.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)))) i)) i)) (/.f64 #s(literal 6 binary64) alpha))) i) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))

rewrite246.0ms (2.4%)

Memory

-17.8MiB live, 458.3MiB allocated

Rules

5 640×	`lower-*.f32`
5 624×	`lower-*.f64`
4 874×	`lower-fma.f32`
4 858×	`lower-fma.f64`
3 052×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	737
0	107	678
1	563	654
2	6064	654
0	9003	626

Stop Event

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

Counts

23 → 385

Calls

Call 1

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

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

eval395.0ms (3.8%)

Memory: 31.6MiB live, 817.9MiB allocated
Compiler: Compiled 107 323 to 5 881 computations (94.5% saved)

prune87.0ms (0.8%)

Memory

-37.3MiB live, 252.9MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 374	10	1 384
Fresh	1	10	11
Picked	4	1	5
Done	0	1	1
Total	1 379	22	1 401

Accuracy

99.9%

Counts

1 401 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	69.1%	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	20.2%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
	68.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	43.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) #s(approx (/ (- beta alpha) i) (/.f64 (neg.f64 alpha) i))) #s(literal 1/2 binary64)))
▶	73.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (.f64 i #s(literal 4 binary64))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
	15.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha))
	20.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (.f64 i #s(literal 2 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))))) alpha) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) (fma.f64 (/.f64 (neg.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (/.f64 (.f64 i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha))))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) alpha))) beta (.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) #s(literal 4 binary64) (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64)))) beta (.f64 (-.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64))))) alpha))
▶	23.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha))
▶	62.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	49.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ beta 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta)))) #s(literal 1/2 binary64)))
	50.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ beta 2)) (.f64 beta #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
▶	3.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	18.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) #s(literal 1/2 binary64)))
	51.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)))
	46.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
▶	29.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	26.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
✓	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64)))
✓	59.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 835 to 737 computations (59.8% saved)

simplify134.0ms (1.3%)

Memory

13.9MiB live, 246.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha))
cost-diff	128	(+.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	512	(.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta)
cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Rules

10 848×	`lower-fma.f32`
10 842×	`lower-fma.f64`
4 142×	`lower-+.f32`
4 130×	`lower-+.f64`
4 044×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	949
0	107	928
1	240	901
2	771	897
3	4023	868
0	8161	782

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.7%)

Memory

1.7MiB live, 355.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))
accuracy	6.799025314178704	(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	16.051760904380416	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64))))
accuracy	0	(*.f64 beta #s(literal 2 binary64))
accuracy	1.6704898191730773	(/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha)
accuracy	47.382907164377635	#s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy	48.869446094135974	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha))
accuracy	0.01953125	(/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta)
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	40.916702335994806	#s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha))
accuracy	44.424049551118436	#s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
accuracy	16.051760904380416	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)))
accuracy	44.925351026681184	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	10.701781776262	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	16.04887303783843	(fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	29.03139089523008	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))

Samples

71.0ms	187×	0	valid
37.0ms	45×	1	valid
26.0ms	23×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 620 to 68 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 31.0ms (29.1% of total)

ival-add: 31.0ms (29.1% of total)

ival-div: 25.0ms (23.5% of total)

adjust: 13.0ms (12.2% of total)

ival-sub: 5.0ms (4.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series143.0ms (1.4%)

Memory

0.6MiB live, 163.7MiB allocated

Counts

24 → 624

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (patch #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())
#s(alt (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (patch (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)) (patch #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2)))))) (taylor -inf i) (#s(alt #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2)))) (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))) i)) (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2)))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2)))))) (taylor -inf i) (#s(alt #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	alpha	@	inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ beta (+ 2 beta)) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (+ (+ (* i 4) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) alpha) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (* (+ (/ beta alpha) 1) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (+ (* 2 alpha) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (* beta 2) (/ (- beta alpha) (+ (+ beta alpha) 2)))
8.0ms	i	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ beta (+ 2 beta)) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (+ (+ (* i 4) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) alpha) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (* (+ (/ beta alpha) 1) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (+ (* 2 alpha) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (* beta 2) (/ (- beta alpha) (+ (+ beta alpha) 2)))
4.0ms	beta	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ beta (+ 2 beta)) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (+ (+ (* i 4) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) alpha) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (* (+ (/ beta alpha) 1) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (+ (* 2 alpha) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (* beta 2) (/ (- beta alpha) (+ (+ beta alpha) 2)))
4.0ms	alpha	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ beta (+ 2 beta)) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (+ (+ (* i 4) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) alpha) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (* (+ (/ beta alpha) 1) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (+ (* 2 alpha) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (* beta 2) (/ (- beta alpha) (+ (+ beta alpha) 2)))
4.0ms	beta	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ beta (+ 2 beta)) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (/ (+ (* 2 alpha) 2) beta) (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (+ (+ (* i 4) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) alpha) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (* (+ (/ beta alpha) 1) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (+ (* 2 alpha) 2) (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (* beta 2) (/ (- beta alpha) (+ (+ beta alpha) 2)))

simplify365.0ms (3.5%)

Memory

20.6MiB live, 336.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 212×	`lower-fma.f64`
7 212×	`lower-fma.f32`
5 920×	`lower-+.f64`
5 920×	`lower-+.f32`
5 620×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1543	36650
1	5102	32873
0	8930	29729

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 616

Calls

Call 1

Inputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
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(+ (* -1/2 (/ (+ (* -1 (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))) (* 2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))))) (pow alpha 2))) (+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1/2 (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2)))))) (+ (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))) (* beta (- (+ (* -1/2 (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2)))))))) (/ beta (pow alpha 2))) (/ 1 alpha))))))))
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
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1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
beta
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(* 2 beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) (* alpha beta))) (/ 1 (pow alpha 3))) (/ 1 (* (pow alpha 2) beta))))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) (* alpha beta))) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (* alpha (pow beta 2)))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (* alpha (pow beta 2)))) (/ 1 (pow alpha 3))))) (/ 1 (* (pow alpha 2) beta))))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) (* alpha beta))) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (* alpha (pow beta 2)))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow alpha 2))) (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow alpha 2)))) (* alpha (pow beta 3)))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (* alpha (pow beta 2)))) (+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (* alpha (pow beta 3)))) (/ 1 (pow alpha 3))))))) (/ 1 (* (pow alpha 2) beta))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (/ 1 (pow alpha 2))) (/ 1 (* alpha beta))))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (pow beta 2))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (pow beta 2))) (/ 1 (pow alpha 2))))) (/ 1 (* alpha beta))))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (pow beta 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow alpha 2))) (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow alpha 2)))) (pow beta 3))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (pow beta 2))) (+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 3))) (/ 1 (pow alpha 2))))))) (/ 1 (* alpha beta))))
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
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1
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1
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(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
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(/ (+ 2 (* 2 alpha)) beta)
beta
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(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
1
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(/ (pow beta 3) (pow alpha 3))
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1
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beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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1
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2
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(/ (pow beta 3) (pow alpha 2))
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(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
1
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(/ beta (+ 2 beta))
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(+ (* -1/2 (/ (+ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 2))) (+ (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))) (* i (+ (* -1/2 (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2)))))) (+ (* 1/2 (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (* i (- (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2))))))) (* 6 (/ 1 alpha)))))))))
(+ (* -1/2 (/ (+ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 2))) (+ (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))) (* i (+ (* -1/2 (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2)))))) (+ (* 1/2 (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (* i (- (+ (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2))))))) (* 16 (/ i (pow alpha 2)))) (* 6 (/ 1 alpha)))))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 2 i)
(* i (+ 2 (* 1/2 (/ (+ 2 (* 2 beta)) i))))
(* i (+ 2 (* 1/2 (/ (+ 2 (* 2 beta)) i))))
(* i (+ 2 (* 1/2 (/ (+ 2 (* 2 beta)) i))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 16 (/ (pow i 3) (pow alpha 3)))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) (* alpha i))) (* 16 (/ 1 (pow alpha 3)))) (/ 6 (* (pow alpha 2) i))))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) (* alpha i))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (* alpha (pow i 2)))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (* alpha (pow i 2)))) (* 16 (/ 1 (pow alpha 3)))))) (/ 6 (* (pow alpha 2) i))))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) (* alpha i))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (* alpha (pow i 2)))) (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* alpha (pow i 3)))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (* alpha (pow i 2)))) (+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (* alpha (pow i 3)))) (* 16 (/ 1 (pow alpha 3)))))))) (/ 6 (* (pow alpha 2) i))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 16 (/ (pow i 3) (pow alpha 2)))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (* 16 (/ 1 (pow alpha 2)))) (/ 6 (* alpha i))))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (* 16 (/ 1 (pow alpha 2)))))) (/ 6 (* alpha i))))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (pow i 3))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 3))) (* 16 (/ 1 (pow alpha 2)))))))) (/ 6 (* alpha i))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 2 i)
(* -1 (* i (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2)))
(* -1 (* i (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2)))
(* -1 (* i (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2)))
(* 4 i)
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 16 (/ (pow i 3) (pow alpha 3)))
(* -1 (* (pow i 3) (- (* -1 (/ (- (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))) alpha)) (* 6 (/ 1 (pow alpha 2)))) i)) (* 16 (/ 1 (pow alpha 3))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) alpha)) (* -1/2 (/ (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))) alpha))) i)) (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))) alpha))) (* 6 (/ 1 (pow alpha 2)))) i)) (* 16 (/ 1 (pow alpha 3))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) alpha)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) alpha))) i)) (+ (* -1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) alpha)) (* -1/2 (/ (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))) alpha)))) i)) (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))) alpha))) (* 6 (/ 1 (pow alpha 2)))) i)) (* 16 (/ 1 (pow alpha 3))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(* 16 (/ (pow i 3) (pow alpha 2)))
(* -1 (* (pow i 3) (- (* -1 (/ (- (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2)))) (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))) i)) (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2)))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))

Outputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
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alpha
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/ (+ 2 (* 2 alpha)) beta)
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(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
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(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
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1
#s(literal 1 binary64)
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(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
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(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
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(/ (pow beta 3) (pow alpha 3))
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(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) (* alpha beta))) (/ 1 (pow alpha 3))) (/ 1 (* (pow alpha 2) beta))))
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(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) (* alpha beta))) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (* alpha (pow beta 2)))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (* alpha (pow beta 2)))) (/ 1 (pow alpha 3))))) (/ 1 (* (pow alpha 2) beta))))
(.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))) (.f64 beta alpha)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha)) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) i) alpha))))) (.f64 (.f64 beta beta) alpha))) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 4 binary64) (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (.f64 (.f64 beta beta) alpha)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) beta)) (pow.f64 beta #s(literal 3 binary64)))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) (* alpha beta))) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (* alpha (pow beta 2)))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow alpha 2))) (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow alpha 2)))) (* alpha (pow beta 3)))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (* alpha (pow beta 2)))) (+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (* alpha (pow beta 3)))) (/ 1 (pow alpha 3))))))) (/ 1 (* (pow alpha 2) beta))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) beta) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))) alpha) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha)) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) i) alpha))))) (.f64 (.f64 beta beta) alpha)) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i #s(literal 2 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))) (.f64 alpha alpha))) (.f64 (pow.f64 beta #s(literal 3 binary64)) alpha))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 4 binary64) (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (.f64 (.f64 beta beta) alpha)) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) (.f64 (pow.f64 beta #s(literal 3 binary64)) alpha))) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) beta)) (pow.f64 beta #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (.f64 beta beta))))) #s(literal 1 binary64))
beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) (/.f64 (neg.f64 (fma.f64 alpha alpha (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))))) (*.f64 beta beta))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 alpha alpha (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) (/.f64 (neg.f64 (fma.f64 alpha alpha (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))))) (*.f64 beta beta))))) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 alpha beta) (/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) alpha) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 beta beta))))
(/ (pow beta 3) (pow alpha 2))
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (*.f64 alpha alpha))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (/ 1 (pow alpha 2))) (/ 1 (* alpha beta))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))) beta) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta))) (pow.f64 beta #s(literal 3 binary64)))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (pow beta 2))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (pow beta 2))) (/ 1 (pow alpha 2))))) (/ 1 (* alpha beta))))
(.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))) beta) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha)) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) i) alpha))))) (.f64 beta beta))) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 4 binary64) (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (.f64 beta beta)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (pow.f64 beta #s(literal 3 binary64)))
(* (pow beta 3) (- (+ (* -1/2 (/ (+ (* -2 (/ (+ 2 (* 4 i)) (pow alpha 2))) (+ (* -2 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (pow alpha 2))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (* 2 (/ (+ 2 (* 2 i)) (pow alpha 2))) (* 8 (/ i (pow alpha 2))))))) beta)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow alpha 2))) (+ (* 2 (/ (* i (+ 2 (* 4 i))) (pow alpha 2))) (/ (* (+ 2 (* 2 i)) (+ 2 (* 8 i))) (pow alpha 2))))) (pow beta 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))) (pow alpha 2))) (* 2 (/ (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))) (pow alpha 2)))) (pow beta 3))) (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (pow beta 2))) (+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 3))) (/ 1 (pow alpha 2))))))) (/ 1 (* alpha beta))))
(.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))) beta) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 #s(literal 3 binary64) alpha)) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) i) alpha))))) (.f64 beta beta)) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i #s(literal 2 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))) (.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 4 binary64) (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (.f64 beta beta)) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) (pow.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (pow.f64 beta #s(literal 3 binary64)))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- 1 (/ 1 beta))
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(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
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(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(/ 2 beta)
(/.f64 #s(literal 2 binary64) beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
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(* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 3)))
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(/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)))))) (* 1/2 (* alpha (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)))))) (pow alpha 3))
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(/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)))))) (* alpha (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))))) (pow alpha 3))
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(/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)))))) (* alpha (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))))) (pow alpha 3))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
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beta
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
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(+ alpha beta)
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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2
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
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-1
#s(literal -1 binary64)
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(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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alpha
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (-.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (.f64 beta (+.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))) (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))) (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 beta alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64)))
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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#s(literal -1 binary64)
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(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) beta) #s(literal 2 binary64)) beta) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha)) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) (+.f64 beta #s(literal 2 binary64)))) (neg.f64 alpha)) beta) (+.f64 beta #s(literal 2 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
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(* 2 alpha)
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(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
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(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(+ (* -1 (/ (+ (* -1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) alpha))) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
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(+ (* -1 (/ (+ (* -1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) alpha))) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
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(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
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(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
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1/2
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1/2
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1/2
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(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
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1/2
#s(literal 1/2 binary64)
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(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) (* alpha i))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (* alpha (pow i 2)))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (* alpha (pow i 2)))) (* 16 (/ 1 (pow alpha 3)))))) (/ 6 (* (pow alpha 2) i))))
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(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) (* alpha i))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (* alpha (pow i 2)))) (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* alpha (pow i 3)))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (* alpha (pow i 2)))) (+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (* alpha (pow i 3)))) (* 16 (/ 1 (pow alpha 3)))))))) (/ 6 (* (pow alpha 2) i))))
(.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha))))) (.f64 i alpha)) (/.f64 (fma.f64 (neg.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) (.f64 alpha alpha)) (fma.f64 (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)) #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal 4 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) (.f64 (.f64 i i) alpha))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (fma.f64 (.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)))) alpha) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) alpha) (.f64 i i)) (/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) (.f64 (pow.f64 i #s(literal 3 binary64)) alpha))) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) i)) (pow.f64 i #s(literal 3 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) (pow.f64 i #s(literal 3 binary64)))) #s(literal -1/32 binary64) (.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (pow.f64 i #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) (pow.f64 i #s(literal 3 binary64)))) #s(literal -1/32 binary64) (.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/8 binary64)))) #s(literal 1/2 binary64))
(* 16 (/ (pow i 3) (pow alpha 2)))
(*.f64 (/.f64 #s(literal 16 binary64) alpha) (/.f64 (pow.f64 i #s(literal 3 binary64)) alpha))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (* 16 (/ 1 (pow alpha 2)))) (/ 6 (* alpha i))))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha))))) i) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 6 binary64) alpha) i))) (pow.f64 i #s(literal 3 binary64)))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (* 16 (/ 1 (pow alpha 2)))))) (/ 6 (* alpha i))))
(.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha))))) i) (/.f64 (fma.f64 (neg.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) (.f64 alpha alpha)) (fma.f64 (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)) #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal 4 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) (.f64 i i))) (fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) (.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) (/.f64 (/.f64 #s(literal 6 binary64) alpha) i)) (pow.f64 i #s(literal 3 binary64)))
(* (pow i 3) (- (+ (* -1/2 (/ (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -4 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta)) (pow alpha 2))) (* 8 (/ (+ 2 beta) (pow alpha 2)))))) i)) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (* beta (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* 4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 2 beta) (+ (* 2 (+ 2 (* 2 beta))) (* 4 beta))) (pow alpha 2))))) (pow i 2))) (+ (* -1/2 (/ (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (pow i 3))) (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (pow i 2))) (+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 3))) (* 16 (/ 1 (pow alpha 2)))))))) (/ 6 (* alpha i))))
(.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha))))) i) (/.f64 (fma.f64 (neg.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) (.f64 alpha alpha)) (fma.f64 (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)) #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal 4 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) beta)) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) (.f64 i i))) (fma.f64 (/.f64 (fma.f64 (.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)))) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) (.f64 i i)) (/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal 16 binary64) (.f64 alpha alpha))))) (/.f64 (/.f64 #s(literal 6 binary64) alpha) i)) (pow.f64 i #s(literal 3 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (+.f64 beta alpha)) (.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (-.f64 beta alpha)))) (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
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1/2
#s(literal 1/2 binary64)
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(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 beta alpha) (.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha))))) #s(literal -1/2 binary64) (/.f64 #s(literal -6 binary64) alpha)) (neg.f64 i)) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -4 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 beta alpha) (/.f64 (.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (neg.f64 alpha) alpha))))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 beta alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)))) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 beta alpha) (.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha))))) #s(literal -1/2 binary64) (/.f64 #s(literal -6 binary64) alpha))) i) #s(literal -1 binary64) (/.f64 #s(literal -16 binary64) (.f64 alpha alpha))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ (* beta (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 2)) (/ (* (+ 2 (* 2 beta)) (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2)))) (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))) i)) (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (+ (* -4 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) (pow alpha 2))) (+ (* -2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow alpha 2))) (/ (* beta (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta))))) (pow alpha 2)))))))) i)) (* -1/2 (+ (* -12 (/ (+ 2 (* 2 beta)) (pow alpha 2))) (+ (* -2 (/ (+ (* -4 (+ 2 beta)) (* -2 (+ 2 (* 2 beta)))) (pow alpha 2))) (+ (* 4 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow alpha 2))) (* 8 (/ beta (pow alpha 2)))))))) (* 6 (/ 1 alpha))) i)) (* 16 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)) #s(literal -4 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (/.f64 beta alpha) (/.f64 (.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (neg.f64 alpha) alpha))))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 beta alpha)) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64))) (/.f64 (fma.f64 (fma.f64 (.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 alpha alpha)))) #s(literal -1/2 binary64) (.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64))) (neg.f64 i))) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) alpha) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -4 binary64))) alpha) (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 beta alpha) (.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha))))) #s(literal -1/2 binary64) (/.f64 #s(literal -6 binary64) alpha))) i) #s(literal -1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 alpha alpha))))

rewrite231.0ms (2.2%)

Memory

22.5MiB live, 174.1MiB allocated

Rules

5 684×	`lower-*.f32`
5 672×	`lower-*.f64`
5 092×	`lower-fma.f32`
5 086×	`lower-fma.f64`
3 092×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	880
0	107	817
1	628	790
2	6240	790
0	9288	717

Stop Event

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

Counts

24 → 275

Calls

Call 1

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

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

eval242.0ms (2.3%)

Memory: -21.4MiB live, 218.4MiB allocated
Compiler: Compiled 38 080 to 3 043 computations (92% saved)

prune98.0ms (0.9%)

Memory

-19.1MiB live, 104.3MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	877	14	891
Fresh	9	6	15
Picked	3	2	5
Done	0	2	2
Total	889	24	913

Accuracy

99.9%

Counts

913 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	20.2%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
	62.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	68.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	43.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) #s(approx (/ (- beta alpha) i) (/.f64 (neg.f64 alpha) i))) #s(literal 1/2 binary64)))
✓	73.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	49.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ 2 beta)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	50.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ 2 beta)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	3.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	18.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
	7.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
	23.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha))
	8.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (*.f64 i #s(literal 2 binary64)))) alpha))
	23.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	51.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	15.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))))
	16.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))))
	46.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
✓	29.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	17.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 alpha))))
	26.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
✓	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64)))
✓	59.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 881 to 670 computations (64.4% saved)

regimes135.0ms (1.3%)

Memory

35.9MiB live, 112.1MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ 2 beta)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ beta 2)) (.f64 beta #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (*.f64 i #s(literal 2 binary64)))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ 2 beta)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(approx (/ beta (+ beta 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 (+.f64 (fma.f64 i #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) #s(approx (/ (- beta alpha) i) (/.f64 (neg.f64 alpha) i))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ beta alpha) (.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 alpha))))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (.f64 i #s(literal 4 binary64))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- beta alpha) (+ (+ beta alpha) 2)) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (.f64 i #s(literal 2 binary64)) (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))))) alpha) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) (fma.f64 (/.f64 (neg.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (.f64 (/.f64 (.f64 i #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha))))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (+.f64 (fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 i alpha) (.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) alpha))) beta (.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) #s(literal 4 binary64) (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64)))) beta (.f64 (-.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64))))) alpha))

Outputs

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

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

Calls

7 calls:

42.0ms	beta
27.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
13.0ms	i
13.0ms	alpha
13.0ms	(*.f64 #s(literal 2 binary64) i)

Results

Accuracy	Segments	Branch
91.5%	2	`alpha`
80.6%	1	`beta`
80.6%	1	`i`
97.3%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.3%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.3%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
80.6%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes41.0ms (0.4%)

Memory

4.6MiB live, 41.8MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

22.0ms

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

8.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
96.1%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.1%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.1%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes31.0ms (0.3%)

Memory

-1.7MiB live, 41.8MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

12.0ms

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

8.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
95.4%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.4%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.4%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes21.0ms (0.2%)

Memory

-30.9MiB live, 47.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
94.6%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
94.6%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes26.0ms (0.2%)

Memory

14.8MiB live, 53.2MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
6.0ms	alpha
6.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
5.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
81.9%	2	`alpha`
91.3%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.3%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.3%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes26.0ms (0.3%)

Memory

-24.9MiB live, 30.4MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

15.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
89.4%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
89.4%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
89.4%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes39.0ms (0.4%)

Memory

22.3MiB live, 60.0MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

8.0ms	i
5.0ms	(*.f64 #s(literal 2 binary64) i)
5.0ms	beta
5.0ms	alpha
5.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
75.9%	2	`alpha`
73.3%	1	`beta`
76.4%	2	`i`
76.4%	2	`(*.f64 #s(literal 2 binary64) i)`
80.1%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
80.1%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
80.1%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes14.0ms (0.1%)

Memory

-6.9MiB live, 30.2MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
79.5%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
79.5%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
79.5%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
76.7%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
76.7%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.7%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes15.0ms (0.1%)

Memory

-7.2MiB live, 30.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
3.0ms	(*.f64 #s(literal 2 binary64) i)
3.0ms	i
2.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
59.4%	1	`i`
59.4%	1	`(*.f64 #s(literal 2 binary64) i)`
76.4%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
76.4%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.4%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 85 to 49 computations (42.4% saved)

regimes15.0ms (0.1%)

Memory

-20.4MiB live, 21.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	beta
1.0ms	(*.f64 #s(literal 2 binary64) i)
1.0ms	alpha
1.0ms	i
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.4%	1	`i`
59.4%	1	`(*.f64 #s(literal 2 binary64) i)`
59.4%	1	`beta`
59.4%	1	`alpha`
59.4%	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
59.4%	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
59.4%	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999999	-0.999999879091738

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.447030759873766e-23	3.0632130321473992e-21
0.0ms	-0.9999999999999999	-0.999999879091738

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.447030759873766e-23	3.0632130321473992e-21
0.0ms	-0.9998654773863449	-3.352064640127481e-5

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.447030759873766e-23	3.0632130321473992e-21
0.0ms	-0.9998654773863449	-3.352064640127481e-5

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.447030759873766e-23	3.0632130321473992e-21
0.0ms	-0.9998654773863449	-3.352064640127481e-5

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.447030759873766e-23	3.0632130321473992e-21
0.0ms	-0.9998654773863449	-3.352064640127481e-5

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.447030759873766e-23	3.0632130321473992e-21
0.0ms	-0.9999999999999999	-0.999999879091738

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.6632173318538567e-6	0.9942653578370282
0.0ms	-0.9999999999999999	-0.999999879091738

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6632173318538567e-6	0.9942653578370282

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6632173318538567e-6	0.9942653578370282

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify36.0ms (0.3%)

Memory

-15.5MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative-binary64-+.f64`
22×	`neg-mul-1-binary64-*.f64-neg.f64`
22×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
18×	`-commutative-binary64-.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2542
1	153	2542
2	164	2542
3	172	2542
4	180	2542
5	196	2542
6	220	2542

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha)) (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) (.f64 #s(approx (+ (+ ( i 4) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (.f64 i #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (.f64 i #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta))) alpha)) (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (.f64 i #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (.f64 i #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ -1/2 alpha) (/ (+ (* (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (+ (+ (* 4 i) (* beta 2)) 2)) (* (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (* i 2) beta)) (+ (+ (* i 2) beta) 2))) alpha)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha)))) #s(approx (* (+ (+ (* i 4) (* beta 2)) 2) 1/2) (.f64 i #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))))
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(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

soundness1.2s (11.8%)

Memory

29.8MiB live, 1 291.6MiB allocated

Rules

7 212×	`lower-fma.f64`
7 212×	`lower-fma.f32`
6 562×	`lower-fma.f64`
6 562×	`lower-fma.f32`
6 478×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1543	36650
1	5102	32873
0	8930	29729
0	967	13190
1	3283	11526
0	9161	10389
0	66	737
0	107	678
1	563	654
2	6064	654
0	9003	626
0	2220	45335
1	7523	45335
0	8591	41104
0	57	580
0	98	522
1	556	522
2	5935	522
0	8870	510
0	1735	34823
1	5883	31304
0	8214	28189
0	15	110
0	25	110
1	125	110
2	1197	110
0	8707	100

Stop Event

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

Compiler

Compiled 972 to 403 computations (58.5% saved)

preprocess62.0ms (0.6%)

Memory: -0.7MiB live, 154.4MiB allocated
Compiler: Compiled 1 488 to 194 computations (87% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze100.0ms (1%)

sample1.8s (17.3%)

explain250.0ms (2.4%)

preprocess211.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify431.0ms (4.1%)

localize132.0ms (1.3%)

series88.0ms (0.8%)

simplify535.0ms (5.1%)

rewrite311.0ms (3%)

eval173.0ms (1.7%)

prune36.0ms (0.3%)

simplify187.0ms (1.8%)

localize265.0ms (2.5%)

series176.0ms (1.7%)

simplify446.0ms (4.3%)

rewrite217.0ms (2.1%)

eval371.0ms (3.6%)

prune68.0ms (0.6%)

simplify167.0ms (1.6%)

localize224.0ms (2.1%)

series138.0ms (1.3%)

simplify269.0ms (2.6%)

rewrite246.0ms (2.4%)

eval395.0ms (3.8%)

prune87.0ms (0.8%)

simplify134.0ms (1.3%)

localize179.0ms (1.7%)

series143.0ms (1.4%)

simplify365.0ms (3.5%)

rewrite231.0ms (2.2%)

eval242.0ms (2.3%)

prune98.0ms (0.9%)

regimes135.0ms (1.3%)

regimes41.0ms (0.4%)

regimes31.0ms (0.3%)

regimes21.0ms (0.2%)

regimes26.0ms (0.2%)

regimes26.0ms (0.3%)

regimes39.0ms (0.4%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.3%)

soundness1.2s (11.8%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling