Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze59.0ms (0.5%)

Memory

28.1MiB live, 64.3MiB 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)

sample2.0s (18.1%)

Memory

60.9MiB live, 2 964.1MiB allocated

Samples

930.0ms	6 617×	0	valid
288.0ms	1 197×	1	valid
194.0ms	442×	2	valid

Precisions

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

ival-div: 277.0ms (26.4% of total)

ival-add: 270.0ms (25.7% of total)

ival-mult: 196.0ms (18.7% of total)

adjust: 109.0ms (10.4% of total)

ival->: 95.0ms (9.1% of total)

ival-sub: 63.0ms (6% of total)

exact: 18.0ms (1.7% of total)

ival-and: 17.0ms (1.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain295.0ms (2.7%)

Memory

-18.4MiB live, 342.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
103	-	1	(-1.0739204912745854e-208 -9.584386904155248e-157 1.441786199324768e-176)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
65	-	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	90	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	90
`+.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	65	0

Confusion

	Predicted +	Predicted -
+	113	0
-	0	143

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	0	0	143

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	143
1	71
2	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	84×	1	valid
38.0ms	396×	0	valid
14.0ms	32×	2	valid

Compiler

Compiled 299 to 49 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 39.0ms (54.4% of total)

ival-div: 12.0ms (16.7% of total)

adjust: 9.0ms (12.6% of total)

ival-mult: 8.0ms (11.2% of total)

ival-sub: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess237.0ms (2.2%)

Memory

27.7MiB live, 258.5MiB allocated

Algorithm

1×	egg-herbie

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: 0.5MiB live, 0.5MiB 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
▶	58.2%	(/.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))

Status

Accuracy

Program

▶

58.2%

(/.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))

Compiler

Compiled 29 to 15 computations (48.3% saved)

simplify171.0ms (1.6%)

Memory

-7.3MiB live, 179.3MiB 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))

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)

localize81.0ms (0.7%)

Memory

6.0MiB live, 80.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.08041000976844201	(/.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	14.222976774138164	(+.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	23.75992218793631	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

40.0ms	42×	1	valid
26.0ms	198×	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: 60.0ms

ival-mult: 35.0ms (58.7% of total)

ival-add: 14.0ms (23.5% of total)

ival-div: 6.0ms (10.1% of total)

adjust: 2.0ms (3.4% of total)

ival-sub: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.6%)

Memory

26.7MiB live, 145.1MiB allocated

Counts

6 → 192

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 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<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
12.0ms	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))) (* 2 i))
7.0ms	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))) (* 2 i))
5.0ms	alpha	@	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))) (* 2 i))
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))) (* 2 i))
5.0ms	i	@	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))) (* 2 i))

simplify268.0ms (2.4%)

Memory

-10.9MiB live, 331.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	12962
1	3169	11337
0	8840	10203

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 186

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

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

rewrite204.0ms (1.9%)

Memory

-26.0MiB live, 274.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	106
0	25	106
1	125	106
2	1197	106
0	8707	96

Stop Event

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

Counts

6 → 305

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 #s(literal 2 binary64) i)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval92.0ms (0.8%)

Memory: 30.6MiB live, 188.7MiB allocated
Compiler: Compiled 27 949 to 2 553 computations (90.9% saved)

prune35.0ms (0.3%)

Memory

-36.7MiB live, 89.7MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	557	24	581
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	558	24	582

Accuracy

99.8%

Counts

582 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.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 (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 2 binary64))
	58.2%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.4%	(/.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))
▶	64.7%	(/.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))
▶	47.3%	(/.f64 (+.f64 (/.f64 (/.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 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	37.5%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.7%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (-.f64 beta alpha)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.7%	(/.f64 (+.f64 (*.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))
	4.8%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.6%	(/.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))
	23.7%	(/.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))
	60.2%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
▶	77.7%	(*.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 1/2 binary64))
	21.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (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)))
	41.7%	#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)))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
	20.8%	#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))
	21.4%	#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))
	75.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.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)))
▶	26.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.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)))
	26.4%	#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)))
	63.1%	#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)))
	31.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	58.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 296 to 712 computations (45.1% saved)

simplify504.0ms (4.6%)

Memory

-9.9MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (/.f64 (/.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 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 (+.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 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	1024	(/.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))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(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))
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 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.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)))
cost-diff	384	(-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta))
cost-diff	512	(*.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))
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 beta alpha)
cost-diff	0	(/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
cost-diff	0	(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))
cost-diff	0	(*.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 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	533
0	81	504
1	177	492
2	538	480
3	2753	468
4	5591	468
0	8316	466

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (1.8%)

Memory

-0.3MiB live, 232.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844201	(/.f64 (/.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 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	0.1015625	(.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 beta alpha))
accuracy	14.222976774138164	(+.f64 (/.f64 (/.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 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	32.28329971861432	(/.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))))
accuracy	0	(+.f64 beta alpha)
accuracy	0.0234375	(*.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	14.437926722174387	(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	21.268751292515706	(/.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	0.01171875	(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)
accuracy	0.01953125	(-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta))
accuracy	0.20055086415121362	(*.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))
accuracy	47.12057287064901	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.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)))
accuracy	26.356264384226705	#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 (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 1/2 binary64))
accuracy	0.015625	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	0.015625	(/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	14.215349954223509	(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))

Samples

79.0ms	198×	0	valid
50.0ms	42×	1	valid
16.0ms	16×	2	valid

Compiler

Compiled 553 to 47 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 44.0ms (46.8% of total)

ival-mult: 20.0ms (21.3% of total)

ival-add: 16.0ms (17% of total)

adjust: 7.0ms (7.4% of total)

ival-sub: 6.0ms (6.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series140.0ms (1.3%)

Memory

26.8MiB live, 107.1MiB allocated

Counts

21 → 708

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	i	@	-inf	((* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) (/ (+ (* (+ 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))))) 1) (- beta alpha) (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
21.0ms	beta	@	-inf	((* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) (/ (+ (* (+ 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))))) 1) (- beta alpha) (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
9.0ms	alpha	@	0	((* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) (/ (+ (* (+ 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))))) 1) (- beta alpha) (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
9.0ms	beta	@	0	((* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) (/ (+ (* (+ 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))))) 1) (- beta alpha) (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
5.0ms	alpha	@	-inf	((* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) (/ (+ (* (+ 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))))) 1) (- beta alpha) (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (/ (/ (* (* (+ beta alpha) (- alpha beta)) (- beta alpha)) (* (- alpha beta) (+ (* i 2) (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 i)) 2)))

simplify593.0ms (5.4%)

Memory

1.5MiB live, 428.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1893	44018
1	6403	42742
0	8029	38649

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 693

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

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

rewrite260.0ms (2.4%)

Memory

8.3MiB live, 277.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	419
0	81	391
1	424	363
2	4187	363
0	8936	363

Stop Event

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

Counts

21 → 937

Calls

Call 1

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

Outputs
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eval537.0ms (4.9%)

Memory: 16.2MiB live, 528.8MiB allocated
Compiler: Compiled 97 668 to 7 322 computations (92.5% saved)

prune157.0ms (1.4%)

Memory

-10.7MiB live, 224.3MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	2 046	17	2 063
Fresh	8	11	19
Picked	4	1	5
Done	0	0	0
Total	2 058	29	2 087

Accuracy

99.8%

Counts

2 087 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	58.2%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.7%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	54.1%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	37.5%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	77.7%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	4.8%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.6%	(/.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))
	23.7%	(/.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))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta) #s(literal 1 binary64))))
	64.7%	(.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.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 1/2 binary64))
	37.2%	(.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	66.9%	(.f64 (fma.f64 #s(approx (/ (+ beta alpha) (+ ( i 2) (+ beta alpha))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) 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 1/2 binary64))
	75.4%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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))
	60.2%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64))
▶	63.1%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	21.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (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)))
	41.7%	#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)))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
	20.8%	#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))
	21.4%	#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))
	24.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) alpha) #s(literal -1/2 binary64)))
	26.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal -1/2 binary64) alpha)))
	5.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
	23.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
	10.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
▶	31.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	58.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 408 to 821 computations (41.7% saved)

simplify239.0ms (2.2%)

Memory

5.6MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)) (+.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	(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)))
cost-diff	0	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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)))
cost-diff	0	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
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 (-.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 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 binary64))
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	192	(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	681
0	100	660
1	184	654
2	371	648
3	1267	642
4	4869	632
0	8117	616

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (3.4%)

Memory

-29.3MiB live, 332.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844201	(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	14.222976774138164	(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	14.244869691389939	(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha)
accuracy	25.575440870922613	#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha))) alpha))
accuracy	0.01171875	(/.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	0.014003759768442016	(-.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))
accuracy	14.222976774138164	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64))
accuracy	47.112645368812466	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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)))
accuracy	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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	13.447191470952996	#s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
accuracy	19.147205748110586	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
accuracy	43.986598736251366	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.03125	(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha))
accuracy	0.11328125	(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha)))
accuracy	0.41640591630993595	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha))))
accuracy	14.222976774138164	(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1 binary64))

Samples

99.0ms	53×	1	valid
76.0ms	176×	0	valid
68.0ms	27×	2	valid

Compiler

Compiled 591 to 53 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-add: 87.0ms (43.6% of total)

ival-sub: 38.0ms (19% of total)

ival-mult: 36.0ms (18% of total)

ival-div: 24.0ms (12% of total)

adjust: 11.0ms (5.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series141.0ms (1.3%)

Memory

11.3MiB live, 255.7MiB allocated

Counts

23 → 792

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	inf	((/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha))) (/ (+ (/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) 1) 2) (+ (/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (/ (+ (/ (/ (* (+ 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)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (neg (- 1 (/ (+ (* i 2) beta) alpha))) (+ (+ 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)) 1) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)) (- -1 (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (neg (- 1 (/ (+ (* i 2) beta) alpha))) alpha) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
7.0ms	alpha	@	0	((/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha))) (/ (+ (/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) 1) 2) (+ (/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (/ (+ (/ (/ (* (+ 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)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (neg (- 1 (/ (+ (* i 2) beta) alpha))) (+ (+ 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)) 1) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)) (- -1 (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (neg (- 1 (/ (+ (* i 2) beta) alpha))) alpha) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
7.0ms	beta	@	0	((/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha))) (/ (+ (/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) 1) 2) (+ (/ 1 (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)))) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (/ (+ (/ (/ (* (+ 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)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (neg (- 1 (/ (+ (* i 2) beta) alpha))) (+ (+ 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)) 1) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha)) (- -1 (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha)) (/ (+ (* (+ (* 4 i) (* beta 2)) -1) -2) alpha) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (neg (- 1 (/ (+ (* i 2) beta) alpha))) alpha) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)))
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simplify422.0ms (3.9%)

Memory

18.6MiB live, 613.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1726	53690
1	5806	51618
0	8215	46347

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 784

Calls

Call 1

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

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

rewrite172.0ms (1.6%)

Memory

-18.5MiB live, 295.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	574
0	100	548
1	537	542
2	4559	542
0	8825	537

Stop Event

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

Counts

23 → 607

Calls

Call 1

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

Outputs
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eval313.0ms (2.9%)

Memory: 43.8MiB live, 628.3MiB allocated
Compiler: Compiled 71 870 to 5 279 computations (92.7% saved)

prune67.0ms (0.6%)

Memory

-18.9MiB live, 219.6MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 378	13	1 391
Fresh	3	20	23
Picked	3	2	5
Done	0	1	1
Total	1 384	36	1 420

Accuracy

99.8%

Counts

1 420 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	37.3%	(/.f64 (fma.f64 (pow.f64 (+.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))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.7%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	54.1%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.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))) (pow.f64 (.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 2 binary64))) (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	77.6%	(/.f64 (+.f64 (pow.f64 (.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 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 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))) (pow.f64 (.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 2 binary64)))))
	60.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.3%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	23.7%	(/.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))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta) #s(literal 1 binary64))))
▶	64.7%	(.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.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 1/2 binary64))
	37.2%	(.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	66.9%	(.f64 (fma.f64 #s(approx (/ (+ beta alpha) (+ ( i 2) (+ beta alpha))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) 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 1/2 binary64))
	37.5%	(.f64 (+.f64 (/.f64 #s(approx (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶	75.4%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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))
	63.5%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	60.2%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64))
✓	63.1%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	69.3%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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))
▶	3.6%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
	19.8%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
	22.9%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
	50.4%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
▶	19.8%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha)))) #s(literal 1/2 binary64))
	21.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (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)))
	41.7%	#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)))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
	20.8%	#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))
	21.4%	#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))
	24.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) alpha) #s(literal -1/2 binary64)))
	26.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal -1/2 binary64) alpha)))
	5.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
	23.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
	10.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
✓	31.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	58.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 820 to 1 009 computations (44.6% saved)

simplify125.0ms (1.1%)

Memory

3.7MiB live, 215.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 beta alpha))))
cost-diff	0	(fma.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.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))
cost-diff	0	(.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.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 1/2 binary64))
cost-diff	1408	(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 beta alpha))
cost-diff	0	(/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))
cost-diff	0	(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))
cost-diff	0	#s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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))
cost-diff	0	#s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha))))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha)))) #s(literal 1/2 binary64))
cost-diff	128	(neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha))
cost-diff	192	(fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta))
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 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 (-.f64 beta alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (/.f64 (-.f64 beta alpha) (+.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)))
cost-diff	0	(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta))
cost-diff	0	(fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	648
0	95	624
1	202	618
2	407	602
3	1038	592
4	4139	592
0	8127	586

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.7%)

Memory

-14.4MiB live, 425.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	0.015625	(/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 beta alpha))))
accuracy	14.215349954223509	(fma.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.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))
accuracy	28.032896539195026	(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 beta alpha))
accuracy	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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))
accuracy	0.015625	(/.f64 beta (fma.f64 i #s(literal 2 binary64) beta))
accuracy	0.01953125	(/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))
accuracy	15.764450540330053	#s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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)))
accuracy	0.015625	(/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha)
accuracy	0.0234375	(fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta))
accuracy	13.447191470952996	#s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha))))
accuracy	42.1652426268222	#s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta)) alpha)))
accuracy	0	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
accuracy	13.447191470952996	#s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))))
accuracy	19.147205748110586	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64)))
accuracy	42.013763895743146	#s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	0.0703125	(/.f64 (/.f64 (-.f64 beta alpha) (+.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)))
accuracy	2.2472363263570942	(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta))
accuracy	14.221674770148278	(fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

55.0ms	176×	0	valid
42.0ms	27×	2	valid
36.0ms	53×	1	valid

Compiler

Compiled 573 to 50 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 26.0ms (29.2% of total)

ival-add: 24.0ms (26.9% of total)

ival-mult: 20.0ms (22.4% of total)

adjust: 12.0ms (13.5% of total)

ival-sub: 4.0ms (4.5% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series153.0ms (1.4%)

Memory

-11.4MiB live, 271.7MiB allocated

Counts

24 → 732

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
35.0ms	beta	@	-inf	((+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* beta -1) (- -2 beta)) (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (+ (* beta -1) (- -2 beta)) alpha) (/ beta (+ (* i 2) beta)) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)))
29.0ms	i	@	0	((+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* beta -1) (- -2 beta)) (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (+ (* beta -1) (- -2 beta)) alpha) (/ beta (+ (* i 2) beta)) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)))
5.0ms	beta	@	0	((+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* beta -1) (- -2 beta)) (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (+ (* beta -1) (- -2 beta)) alpha) (/ beta (+ (* i 2) beta)) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)))
4.0ms	i	@	-inf	((+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* beta -1) (- -2 beta)) (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (+ (* beta -1) (- -2 beta)) alpha) (/ beta (+ (* i 2) beta)) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)))
4.0ms	alpha	@	0	((+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (+ (* beta -1) (- -2 beta)) (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)) (* (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 1/2) (+ (* (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ beta alpha) (+ (* i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (+ (* beta -1) (- -2 beta)) alpha) (/ beta (+ (* i 2) beta)) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)))

simplify382.0ms (3.5%)

Memory

16.4MiB live, 602.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2016	49068
1	6709	49068
0	8348	44377

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

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

rewrite156.0ms (1.4%)

Memory

15.6MiB live, 289.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	547
0	95	539
1	484	503
2	4631	503
0	8503	503

Stop Event

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

Counts

24 → 571

Calls

Call 1

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

Outputs
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eval248.0ms (2.3%)

Memory: 10.8MiB live, 405.7MiB allocated
Compiler: Compiled 68 624 to 4 997 computations (92.7% saved)

prune129.0ms (1.2%)

Memory

-5.1MiB live, 120.8MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1 285	12	1 297
Fresh	6	22	28
Picked	5	0	5
Done	1	2	3
Total	1 297	36	1 333

Accuracy

99.8%

Counts

1 333 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.6%	(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	37.3%	(/.f64 (fma.f64 (pow.f64 (+.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))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.7%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (.f64 #s(literal 2 binary64) i) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.6%	(/.f64 (+.f64 (pow.f64 (.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 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 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))) (pow.f64 (.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 2 binary64)))))
	60.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ (+ (* 2 i) (+ alpha beta)) (+ alpha beta)) (/ (+ (+ (* 2 i) (+ alpha beta)) 2) (- beta alpha))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) alpha) (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.3%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	23.7%	(/.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))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 alpha beta) #s(literal 1 binary64))))
	59.8%	(.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 beta alpha)))) #s(approx (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (neg.f64 alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	37.2%	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	66.9%	(.f64 (fma.f64 #s(approx (/ (+ beta alpha) (+ ( i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) 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 1/2 binary64))
	77.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	37.5%	(.f64 (+.f64 (/.f64 #s(approx (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	63.0%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	63.5%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	60.2%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64))
	69.3%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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))
	21.8%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	48.9%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	19.8%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
	19.8%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
	22.9%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
	50.4%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
	17.2%	(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (/.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
	20.8%	#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))
	21.4%	#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))
	24.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) alpha) #s(literal -1/2 binary64)))
	26.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal -1/2 binary64) alpha)))
	5.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
	23.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
	10.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
✓	31.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	58.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
	56.3%	#s(approx (+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))

Compiler

Compiled 2 546 to 898 computations (64.7% saved)

regimes175.0ms (1.6%)

Memory

-17.7MiB live, 179.6MiB allocated

Counts

67 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
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(.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.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 (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 2 binary64))
(/.f64 (+.f64 (pow.f64 (.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 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 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))) (pow.f64 (.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 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.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))) (pow.f64 (.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 2 binary64))) (+.f64 (pow.f64 (*.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 3 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) (*.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)))

(*.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 1/2 binary64))

Calls

7 calls:

34.0ms	i
33.0ms	beta
23.0ms	(*.f64 #s(literal 2 binary64) i)
22.0ms	(/.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))
17.0ms	alpha

Results

Accuracy	Segments	Branch
91.7%	2	`alpha`
77.7%	1	`beta`
77.7%	1	`i`
96.7%	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))`
96.7%	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))`
96.7%	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)))`
77.7%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes31.0ms (0.3%)

Memory

35.6MiB live, 35.6MiB allocated

Counts

41 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 (+.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) (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)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) 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) (*.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)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #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 (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #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(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) alpha) #s(literal -1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 i #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 (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)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (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))
(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(approx (/ (+ beta alpha) (+ ( i 2) (+ beta alpha))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) 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 1/2 binary64))
(.f64 (fma.f64 #s(approx (/ (+ beta alpha) (+ ( i 2) (/ (* (- beta alpha) (+ alpha beta)) (- beta alpha)))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) 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 1/2 binary64))
(.f64 (+.f64 (/.f64 #s(approx (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (fma.f64 i #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))

Outputs

#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 (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)))

Calls

3 calls:

10.0ms

(/.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)))

9.0ms

(+.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))

9.0ms

(/.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%	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))`
95.4%	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))`
95.4%	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 81 to 41 computations (49.4% saved)

regimes31.0ms (0.3%)

Memory

-8.5MiB live, 30.1MiB allocated

Counts

33 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 (+.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) (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)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) 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) (*.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)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #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 (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #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(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) alpha) #s(literal -1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 i #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 (/.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 (+ (* (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))

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

Calls

3 calls:

14.0ms

(/.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))

7.0ms

(/.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
95.3%	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))`
95.3%	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))`
95.3%	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 81 to 41 computations (49.4% saved)

regimes33.0ms (0.3%)

Memory

-8.7MiB live, 30.0MiB allocated

Counts

32 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 (+.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) (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)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) 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) (*.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)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #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 (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #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(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) alpha) #s(literal -1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.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))) #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 (/.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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))

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

Calls

3 calls:

15.0ms

(+.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 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))

Results

Accuracy	Segments	Branch
95.2%	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))`
95.2%	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))`
95.2%	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)

regimes37.0ms (0.3%)

Memory

-22.8MiB live, 28.1MiB allocated

Counts

30 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 (+.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) (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)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) 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) (*.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)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #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 (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #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(approx (- (- -2 (+ ( i 2) beta)) (+ (* i 2) beta)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta)) 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 (/.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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))

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

Calls

3 calls:

20.0ms

(/.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))

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)))

7.0ms

(+.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
95.2%	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))`
95.2%	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))`
95.2%	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

27.4MiB live, 27.4MiB allocated

Counts

27 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 (+.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) (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)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (+ (* 4 i) (* beta 2)) -1) -2) (*.f64 #s(literal -4 binary64) i)) 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) (*.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)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #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 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))

Outputs

#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) #s(literal 1/2 binary64))

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

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))

Results

Accuracy	Segments	Branch
94.4%	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))`
94.4%	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))`
94.4%	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)

regimes35.0ms (0.3%)

Memory

-17.3MiB live, 21.3MiB allocated

Counts

21 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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 -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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))

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

Calls

3 calls:

23.0ms

(/.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))

5.0ms

(/.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
94.3%	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))`
94.3%	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))`
94.3%	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 81 to 41 computations (49.4% saved)

regimes31.0ms (0.3%)

Memory

-11.2MiB live, 27.5MiB allocated

Counts

20 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (neg.f64 (/.f64 (fma.f64 beta #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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))

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

Calls

4 calls:

15.0ms	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)))
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))
5.0ms	(/.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
81.7%	2	`alpha`
91.4%	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))`
91.4%	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))`
91.4%	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 82 to 44 computations (46.3% saved)

regimes13.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

15 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))

Outputs

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

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

Calls

3 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)))

4.0ms

(+.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 (*.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
91.2%	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))`
91.2%	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))`
91.2%	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)

regimes11.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

12 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) 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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #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))

Outputs

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

Calls

3 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 (+.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
91.0%	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))`
91.0%	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))`
91.0%	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

-27.4MiB live, 11.6MiB allocated

Counts

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

Outputs

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

3 calls:

25.0ms

(+.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))

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 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
84.1%	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))`
84.1%	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))`
84.1%	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)

regimes19.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

7 → 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))
(fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (/.f64 beta alpha)))
(/.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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))

Outputs

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

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

Calls

7 calls:

3.0ms	(*.f64 #s(literal 2 binary64) i)
3.0ms	alpha
3.0ms	beta
3.0ms	i
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)))

Results

Accuracy	Segments	Branch
71.2%	2	`beta`
58.8%	1	`i`
58.8%	1	`(*.f64 #s(literal 2 binary64) i)`
62.9%	2	`alpha`
77.7%	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))`
77.7%	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))`
77.7%	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)

regimes32.0ms (0.3%)

Memory

-30.6MiB live, 9.9MiB allocated

Counts

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

Calls

3 calls:

26.0ms

(/.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))

2.0ms

(/.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)))

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))

Results

Accuracy	Segments	Branch
73.9%	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))`
73.9%	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))`
73.9%	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)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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

5 calls:

1.0ms	alpha
1.0ms	beta
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)))
1.0ms	(+.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))
1.0ms	(/.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
58.8%	1	`alpha`
58.8%	1	`beta`
58.8%	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))`
58.8%	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))`
58.8%	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 83 to 47 computations (43.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999973	-0.9999995161488581

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9989665789498903	-0.4470353082743031

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.999994943066547	-0.9995507565986592

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.999994943066547	-0.9995507565986592

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.999994943066547	-0.9995507565986592

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.9989665789498903	-0.4470353082743031

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.9989665789498903	-0.4470353082743031

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.9989665789498903	-0.4470353082743031

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.9989665789498903	-0.4470353082743031

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.9989665789498903	-0.4470353082743031

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-0.9995507565986592	-0.9989665789498903

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805
0.0ms	-1.0	-0.9999999999999999

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.230857400635853e-14	0.9980095394688805

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify40.0ms (0.4%)

Memory

7.9MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	2129
1	196	2129
2	221	2129
3	258	2129
4	273	2129
5	284	2129
6	291	2129
7	294	2129
8	295	2129

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 -4503597825930645/4503599627370496 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))) (*.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 1/2 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 (/.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 (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))))
(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 -1125449546879887/1125899906842624 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))) (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 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (+ ( (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) 1/2) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) (.f64 #s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 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 -1125449546879887/1125899906842624 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))) (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 6338253001141147/316912650057057350374175801344 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) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) (.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 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 -1125449546879887/1125899906842624 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))) (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 6338253001141147/316912650057057350374175801344 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) (/.f64 (.f64 alpha alpha) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) (fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #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 (/.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))) (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 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) (fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #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 (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #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 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) (fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) (fma.f64 #s(approx (* (/ (/ (- beta alpha) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) (.f64 #s(approx (+ ( (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (+.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))))
(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) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #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 6338253001141147/316912650057057350374175801344 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 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 -8998192055486251/9007199254740992 binary64)) (.f64 #s(approx (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) #s(approx (neg (/ (+ (* beta -1) (- -2 beta)) alpha)) (/.f64 #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 6338253001141147/316912650057057350374175801344 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 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(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (.f64 (/.f64 i alpha) #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 6338253001141147/316912650057057350374175801344 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 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 6338253001141147/316912650057057350374175801344 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
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(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 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (.f64 (/.f64 i alpha) #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 6338253001141147/316912650057057350374175801344 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 -1 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (- (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) alpha) -1/2) (.f64 (/.f64 i alpha) #s(literal 2 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 6338253001141147/316912650057057350374175801344 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 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 6338253001141147/316912650057057350374175801344 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 6338253001141147/316912650057057350374175801344 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 (11.1%)

Memory

4.0MiB live, 1 027.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2016	49068
1	6709	49068
0	8348	44377
0	64	574
0	100	548
1	537	542
2	4559	542
0	8825	537
0	49	419
0	81	391
1	424	363
2	4187	363
0	8936	363
0	933	12962
1	3169	11337
0	8840	10203
0	1893	44018
1	6403	42742
0	8029	38649
0	15	106
0	25	106
1	125	106
2	1197	106
0	8707	96
0	1726	53690
1	5806	51618
0	8215	46347

Stop Event

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

Compiler

Compiled 1 696 to 645 computations (62% saved)

preprocess184.0ms (1.7%)

Memory: 19.8MiB live, 217.7MiB allocated
Compiler: Compiled 2 080 to 260 computations (87.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze59.0ms (0.5%)

sample2.0s (18.1%)

explain295.0ms (2.7%)

preprocess237.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify171.0ms (1.6%)

localize81.0ms (0.7%)

series62.0ms (0.6%)

simplify268.0ms (2.4%)

rewrite204.0ms (1.9%)

eval92.0ms (0.8%)

prune35.0ms (0.3%)

simplify504.0ms (4.6%)

localize202.0ms (1.8%)

series140.0ms (1.3%)

simplify593.0ms (5.4%)

rewrite260.0ms (2.4%)

eval537.0ms (4.9%)

prune157.0ms (1.4%)

simplify239.0ms (2.2%)

localize377.0ms (3.4%)

series141.0ms (1.3%)

simplify422.0ms (3.9%)

rewrite172.0ms (1.6%)

eval313.0ms (2.9%)

prune67.0ms (0.6%)

simplify125.0ms (1.1%)

localize181.0ms (1.7%)

series153.0ms (1.4%)

simplify382.0ms (3.5%)

rewrite156.0ms (1.4%)

eval248.0ms (2.3%)

prune129.0ms (1.2%)

regimes175.0ms (1.6%)

regimes31.0ms (0.3%)

regimes31.0ms (0.3%)

regimes33.0ms (0.3%)

regimes37.0ms (0.3%)

regimes21.0ms (0.2%)

regimes35.0ms (0.3%)

regimes31.0ms (0.3%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes31.0ms (0.3%)

regimes19.0ms (0.2%)

regimes32.0ms (0.3%)

regimes6.0ms (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%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify40.0ms (0.4%)

soundness1.2s (11.1%)

preprocess184.0ms (1.7%)

end0.0ms (0%)

Profiling