Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze98.0ms (0.9%)

Memory

-0.2MiB live, 109.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample1.8s (15.7%)

Memory

66.8MiB live, 2 945.9MiB allocated

Samples

758.0ms	6 614×	0	valid
363.0ms	1 220×	1	valid
138.0ms	422×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 919.0ms

ival-div: 262.0ms (28.5% of total)

ival-add: 240.0ms (26.1% of total)

ival-mult: 130.0ms (14.2% of total)

ival->: 115.0ms (12.5% of total)

adjust: 75.0ms (8.2% of total)

ival-sub: 59.0ms (6.4% of total)

ival-and: 17.0ms (1.9% of total)

exact: 17.0ms (1.9% of total)

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

Bogosity

explain265.0ms (2.4%)

Memory

-11.4MiB live, 395.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
91	0	-	30	(-4.906188766839109e-47 3.694945626197945e+285 1.0885976602518067e-65)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
51	27	(1.8240840025446667e+120 7.385668262866702e+260 5.677534876441241e+185)	17	(1.6725520538363543e+195 -1.5038983689229015e-289 8.559624476590519e-130)	`(+.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	-	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	-	0	-	`beta`
0	0	-	0	-	`(+.f64 alpha beta)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`alpha`
0	0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	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	-	0	-	`(-.f64 beta alpha)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.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	61	0
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	58	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	85

Confusion

	Predicted +	Predicted -
+	66	40
-	7	143

Precision

0.9041095890410958

Recall

0.6226415094339622

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	40
-	7	0	143

Precision?

0.9041095890410958

Recall?

0.6226415094339622

Freqs

test

number	freq
0	183
1	27
2	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	76×	1	valid
39.0ms	412×	0	valid
7.0ms	24×	2	valid

Compiler

Compiled 432 to 107 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-add: 36.0ms (58.2% of total)

ival-div: 11.0ms (17.8% of total)

ival-mult: 7.0ms (11.3% of total)

adjust: 4.0ms (6.5% of total)

ival-sub: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess195.0ms (1.7%)

Memory

22.6MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.6%	(/.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

▶

60.6%

(/.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)

simplify491.0ms (4.4%)

Memory

-118.7MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (0.4%)

Memory

16.7MiB live, 90.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
accuracy	0.06640625	(/.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	11.572864602553036	(+.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	20.82317337523775	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

20.0ms	206×	0	valid
7.0ms	38×	1	valid
4.0ms	12×	2	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 6.0ms (32.9% of total)

ival-div: 5.0ms (27.4% of total)

ival-mult: 3.0ms (16.4% of total)

adjust: 2.0ms (11% of total)

ival-sub: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.5%)

Memory

23.4MiB live, 103.7MiB allocated

Counts

5 → 180

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>) () ())

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
10.0ms	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))))
5.0ms	alpha	@	-inf	((+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))))
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))))
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))))
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))))

simplify242.0ms (2.2%)

Memory

-14.9MiB live, 294.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 196×	`lower-*.f64`
6 196×	`lower-*.f32`
6 142×	`lower-fma.f64`
6 142×	`lower-fma.f32`
5 244×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	12926
1	3169	11301
0	8840	10167

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

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

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

rewrite199.0ms (1.8%)

Memory

-0.6MiB live, 283.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	103
0	25	103
1	125	103
2	1197	103
0	8707	93

Stop Event

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

Counts

5 → 303

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)))

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

eval121.0ms (1.1%)

Memory: 22.3MiB live, 176.0MiB allocated
Compiler: Compiled 27 113 to 2 531 computations (90.7% saved)

prune370.0ms (3.3%)

Memory

4.9MiB live, 202.3MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	534	19	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	535	19	554

Accuracy

99.9%

Counts

554 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	66.2%	(/.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))
	59.8%	(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	57.7%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (/.f64 (.f64 (neg.f64 alpha) alpha) (fma.f64 i #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	79.7%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (*.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 2 binary64))
	3.5%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	81.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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))))
	53.3%	(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) #s(literal -2 binary64)) (.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal 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)))))
	28.3%	#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)))
	38.1%	#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)))
	56.8%	#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)))
	16.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha))
	15.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) alpha) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
▶	16.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha))
▶	79.7%	#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)))
▶	22.0%	#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)))
	69.2%	#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)))
	37.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	57.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 558 to 574 computations (63.2% saved)

simplify237.0ms (2.1%)

Memory

-15.3MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 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))
cost-diff	128	(-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))
cost-diff	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	(*.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))
cost-diff	0	#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)))
cost-diff	0	(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha)
cost-diff	0	#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)))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	512	(.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))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (+.f64 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 #s(literal 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)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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))))

Rules

10 330×	`lower-fma.f32`
10 318×	`lower-fma.f64`
3 786×	`lower--.f32`
3 780×	`lower--.f64`
3 608×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	715
0	85	705
1	183	701
2	500	699
3	2013	684
4	5915	684
0	8589	658

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (2%)

Memory

0.9MiB live, 307.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.7461735668269156	(/.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)
accuracy	3.5807600261656827	(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)
accuracy	14.58972402815196	(-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))
accuracy	51.02878330069689	#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))
accuracy	0.0078125	(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	0.01953125	(/.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	13.007193875923722	#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)))
accuracy	0	(.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))
accuracy	0	(*.f64 beta #s(literal 2 binary64))
accuracy	0.015625	(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha)
accuracy	49.929011764375694	#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)))
accuracy	27.0128357768332	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0.03515625	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	0.05078125	(/.f64 #s(literal 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)))
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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))))
accuracy	11.57018935085183	(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

99.0ms	206×	0	valid
30.0ms	12×	2	valid
27.0ms	38×	1	valid

Compiler

Compiled 701 to 53 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 50.0ms (38.9% of total)

adjust: 28.0ms (21.8% of total)

ival-add: 24.0ms (18.7% of total)

ival-div: 21.0ms (16.4% of total)

ival-sub: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series201.0ms (1.8%)

Memory

-3.7MiB live, 440.0MiB allocated

Counts

21 → 660

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
40.0ms	i	@	-inf	((/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (* beta 2) (/ beta (+ (* i 2) beta)) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) alpha))
16.0ms	alpha	@	0	((/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (* beta 2) (/ beta (+ (* i 2) beta)) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) alpha))
16.0ms	beta	@	0	((/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (* beta 2) (/ beta (+ (* i 2) beta)) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) alpha))
12.0ms	beta	@	-inf	((/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (* beta 2) (/ beta (+ (* i 2) beta)) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) alpha))
10.0ms	beta	@	inf	((/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ beta (+ (+ (* i 2) beta) 2)) (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (* beta 2) (/ beta (+ (* i 2) beta)) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* beta 2)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* beta 2)) 2) (+ (+ (* 4 i) (* beta 2)) 2)))) alpha))) alpha))

simplify335.0ms (3%)

Memory

-8.6MiB live, 516.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 238×	`lower-*.f64`
7 238×	`lower-*.f32`
6 000×	`lower-fma.f64`
6 000×	`lower-fma.f32`
3 998×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2198	42227
1	7278	42227
0	8650	38082

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

Outputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(.f64 (fma.f64 (/.f64 (.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #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 #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 (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 (fma.f64 (/.f64 (.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))
(+ (* 1/2 (+ 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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(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
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(/ 2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))
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1/2
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1
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2
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1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/ beta (+ beta (* 2 i)))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
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(/ beta (+ 2 (+ beta (* 2 i))))
(/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))))) (/ beta (+ 2 (+ beta (* 2 i)))))
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ 2 (+ beta (* 2 i)))) (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))))) (/ beta (+ 2 (+ beta (* 2 i)))))
(fma.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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)))) (+.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 (+ beta (* 2 i))) 3)) (/ beta (pow (+ 2 (+ beta (* 2 i))) 4))))) (* -1 (/ (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))) (+ 2 (+ beta (* 2 i))))))) (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))))) (/ beta (+ 2 (+ beta (* 2 i)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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))))) alpha (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
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(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
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(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
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(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)
(* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) (pow alpha 2)))
(.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) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 alpha alpha)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))
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(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))
(.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha))
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))
(.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/.f64 (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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))))) alpha)
(* 2 (/ alpha (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))
(/.f64 (.f64 #s(literal 2 binary64) alpha) (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 (+ (* -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 (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2)))) (* 2 (/ 1 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.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)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (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)
(* 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 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2))) (* -2 (/ (pow (- (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) (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 3)))) (pow alpha 2))) (* 2 (/ 1 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) (* 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 (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.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)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.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)))) #s(literal 3 binary64))))) alpha) (-.f64 (/.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.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)))) #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 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2))) (+ (* -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 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2))) (* -2 (/ (pow (- (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) (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 3)))) (- (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))))))))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* 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 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 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 3))))) (pow alpha 3))) (* 2 (/ 1 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) (+ (* -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) (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2)))) (+ (* -2 (/ (pow (- (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) (* (pow alpha 2) (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 3)))) (* 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 (pow (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) 2))))))))
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binary64)) (.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.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)))) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.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)))) #s(literal 3 binary64)))) #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 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(/.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) 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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha))) 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))
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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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(* -2 (/ alpha (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))
(/.f64 (.f64 #s(literal -2 binary64) alpha) (-.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))))))
(* -1 (* alpha (+ (* 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 (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2)))) (* 2 (/ 1 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))
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(* -1 (* alpha (+ (* -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 (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2)))) (* -2 (/ (pow (- (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) (* alpha (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 3))))) (* 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))))))))) (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2)))) alpha)) (* 2 (/ 1 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))
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(* -1 (* alpha (+ (* -1 (/ (- (* -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 (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2)))) (+ (* -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))))))))))) (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2))) (* -2 (/ (pow (- (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) (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 3)))) (- (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 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (* 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))))))))))) (- (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 (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 3)))))) (+ (* -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))))))))))) (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2))) (* -2 (/ (pow (- (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) (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 3))))) alpha)) (* 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))))))))) (pow (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 2)))) alpha)) (* 2 (/ 1 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))
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binary64) (-.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))))))))
(* -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))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (fma.f64 beta beta (neg.f64 (/.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 (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 i #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 (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 (-.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)) (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))) (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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 beta) (* -1 (+ beta (* 2 i)))) alpha)))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 beta (fma.f64 i #s(literal 2 binary64) beta))) alpha) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 beta) (* -1 (+ beta (* 2 i))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))
(fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 beta (fma.f64 i #s(literal 2 binary64) beta))) alpha)) #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) alpha) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 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)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 beta (fma.f64 i #s(literal 2 binary64) beta))) alpha))) (.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (.f64 #s(literal -1 binary64) (-.f64 beta (fma.f64 i #s(literal 2 binary64) beta))))) alpha)) (*.f64 #s(literal 1 binary64) (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 (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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(* -1/2 (/ (- (+ 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))))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(* -1/2 (/ (- (+ 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
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1/2
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1/2
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1/2
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1/2
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1
#s(literal 1 binary64)
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(* -6 (/ (pow i 2) alpha))
(.f64 (/.f64 (.f64 i i) alpha) #s(literal -6 binary64))
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 6 (/ 1 alpha))))
(.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -8 binary64))) #s(literal 4 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) alpha))) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -8 binary64))) #s(literal 4 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) i))) i)) (/.f64 #s(literal 6 binary64) alpha)) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -8 binary64))) #s(literal 4 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) i))) i)) (/.f64 #s(literal 6 binary64) alpha)) (.f64 i i))
(* -12 (pow i 2))
(.f64 #s(literal -12 binary64) (.f64 i i))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) i)) (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))) 12))
(.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 (+.f64 beta #s(literal 2 binary64)) i)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -8 binary64))) #s(literal 12 binary64)) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) i)) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))) i) #s(literal -1 binary64) #s(literal -12 binary64)) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64)) (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) i)) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))) i) #s(literal -1 binary64) #s(literal -12 binary64)) (.f64 i i))
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))
(* 1/2 (/ (- 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 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) 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 beta alpha) (+.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 #s(literal -1/2 binary64) beta)) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow beta 3) i)) (* 1/4 (pow beta 2))) i)) (* -1/2 beta)) i))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) beta (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 #s(literal -1/2 binary64) beta (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))
(* -12 (/ (pow i 2) alpha))
(.f64 (/.f64 (.f64 i i) alpha) #s(literal -12 binary64))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 2 (/ beta (* alpha i))) (* 2 (/ (+ 2 beta) (* alpha i))))) (* 12 (/ 1 alpha))))
(.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta alpha) i) (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) i)) (.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) i) #s(literal -8 binary64))) (/.f64 #s(literal 12 binary64) alpha)) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) alpha)) (* -1 (/ (- (/ (pow beta 2) alpha) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 12 (/ 1 alpha))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 beta beta) alpha) (fma.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) i) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha))) i)) (/.f64 #s(literal 12 binary64) alpha)) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) alpha)) (* -1 (/ (- (/ (pow beta 2) alpha) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 12 (/ 1 alpha))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 beta beta) alpha) (fma.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) i) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha))) i)) (/.f64 #s(literal 12 binary64) alpha)) (*.f64 i i))
(* -6 (/ (pow i 2) (pow alpha 2)))
(.f64 (/.f64 #s(literal -6 binary64) alpha) (/.f64 (.f64 i i) alpha))
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -8 binary64))) #s(literal 4 binary64)) i) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 alpha alpha)))) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) i))) i)) (* 6 (/ 1 (pow alpha 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -8 binary64))) #s(literal 4 binary64)) alpha) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (.f64 (/.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)))) i))) i)) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha))) (*.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) i))) i)) (* 6 (/ 1 (pow alpha 2)))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -8 binary64))) #s(literal 4 binary64)) alpha) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (.f64 (/.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)))) i))) i)) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha))) (*.f64 i i))

rewrite227.0ms (2%)

Memory

34.0MiB live, 272.9MiB allocated

Rules

4 550×	`lower-*.f32`
4 538×	`lower-*.f64`
4 076×	`lower-/.f32`
4 058×	`lower-/.f64`
3 916×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	537
0	85	492
1	472	488
2	4912	488
0	9523	476

Stop Event

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

Counts

21 → 444

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
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(+.f64 (.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 alpha (fma.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 beta beta (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #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) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 alpha)))
(fma.f64 (*.f64 beta beta) (pow.f64 alpha #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha)))
(fma.f64 beta (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha)))
(-.f64 (/.f64 (-.f64 (.f64 beta 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 (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))
(-.f64 (/.f64 (*.f64 beta beta) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha))
(exp.f64 (.f64 (log.f64 (/.f64 alpha (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 beta beta) alpha) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha)))
(.f64 (/.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64))
(.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 alpha #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))
(.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) alpha))
(.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 alpha #s(literal -1 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) alpha))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) alpha)))
(pow.f64 (/.f64 (/.f64 (/.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) alpha)
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 alpha)))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))))
(/.f64 (.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) alpha))
(neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 alpha)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))) #s(literal -1 binary64)))

eval410.0ms (3.7%)

Memory: -19.3MiB live, 286.5MiB allocated
Compiler: Compiled 70 253 to 5 668 computations (91.9% saved)

prune312.0ms (2.8%)

Memory

37.0MiB live, 270.1MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 294	20	1 314
Fresh	6	8	14
Picked	4	1	5
Done	0	0	0
Total	1 304	29	1 333

Accuracy

99.9%

Counts

1 333 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.9%	(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	60.6%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.8%	(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -1 binary64)))))
▶	79.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))))
	34.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	63.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (/.f64 (.f64 beta beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha) (pow.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 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 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))))))
	21.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (/.f64 (.f64 #s(literal -2 binary64) alpha) (-.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))))))))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.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)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (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)))
	53.3%	(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) #s(literal -2 binary64)) (.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal 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)))))
▶	38.1%	#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)))
	79.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (*.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 1/2 binary64) #s(literal 1/2 binary64)))
	56.8%	#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)))
	22.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
	16.5%	#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))
	17.4%	#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)) #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))) alpha))) alpha))
	57.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (fma.f64 (/.f64 (.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	21.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
▶	18.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	17.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	69.2%	#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)))
	73.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	22.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.f64 (/.f64 i alpha) #s(literal 2 binary64)))))
	8.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
	6.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
	28.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	37.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
✓	57.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 654 to 851 computations (48.5% saved)

simplify193.0ms (1.7%)

Memory

0.1MiB live, 118.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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(literal 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))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))))
cost-diff	0	(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) i)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (+ (* 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (+ (* 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha)
cost-diff	0	(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) 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) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	0	(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

14 540×	`lower-fma.f32`
14 528×	`lower-fma.f64`
4 344×	`lower-*.f32`
4 338×	`lower-*.f64`
3 442×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	541
0	94	523
1	197	523
2	399	523
3	1368	523
4	5633	523
0	8040	513

Stop Event

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

Calls

Call 1

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

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

localize225.0ms (2%)

Memory

-7.7MiB live, 218.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))
accuracy	0.05078125	(/.f64 #s(literal 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))))
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))))
accuracy	13.007193875923722	#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	0.00390625	(/.f64 (-.f64 beta alpha) i)
accuracy	0.12890625	(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))
accuracy	3.8541296833873755	(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
accuracy	39.55487635156958	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
accuracy	0	(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 #s(approx (+ (+ (* 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha)
accuracy	22.10613390658542	#s(approx (+ (+ (* 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	49.929011764375694	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy	13.007193875923722	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
accuracy	36.06924999912488	#s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64))
accuracy	0.02734375	(/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.06640625	(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	0.078125	(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	11.571797020507745	(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

125.0ms	206×	0	valid
44.0ms	37×	1	valid
13.0ms	13×	2	valid

Compiler

Compiled 441 to 56 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-add: 55.0ms (41.8% of total)

ival-div: 47.0ms (35.8% of total)

ival-mult: 19.0ms (14.5% of total)

adjust: 7.0ms (5.3% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series136.0ms (1.2%)

Memory

6.0MiB live, 147.0MiB allocated

Counts

21 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	alpha	@	0	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta))) (/ (- beta alpha) i) (/ beta (+ (+ (* i 2) beta) 2)))
4.0ms	beta	@	0	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta))) (/ (- beta alpha) i) (/ beta (+ (+ (* i 2) beta) 2)))
4.0ms	i	@	0	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta))) (/ (- beta alpha) i) (/ beta (+ (+ (* i 2) beta) 2)))
3.0ms	alpha	@	-inf	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta))) (/ (- beta alpha) i) (/ beta (+ (+ (* i 2) beta) 2)))
3.0ms	alpha	@	inf	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) (+ (+ (* 4 i) (* beta 2)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (/ 1 (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 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) (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta))) (/ (- beta alpha) i) (/ beta (+ (+ (* i 2) beta) 2)))

simplify326.0ms (2.9%)

Memory

0.5MiB live, 466.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 830×	`lower-*.f64`
6 830×	`lower-*.f32`
5 882×	`lower-fma.f64`
5 882×	`lower-fma.f32`
4 006×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2022	41773
1	6781	41771
0	8065	37784

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 667

Calls

Call 1

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

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

rewrite195.0ms (1.7%)

Memory

-20.4MiB live, 268.4MiB allocated

Rules

4 178×	`lower-*.f32`
4 172×	`lower-*.f64`
3 852×	`lower-/.f32`
3 834×	`lower-/.f64`
3 512×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	479
0	94	458
1	519	458
2	4233	458
0	8410	451

Stop Event

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

Counts

21 → 508

Calls

Call 1

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

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

eval280.0ms (2.5%)

Memory: 38.1MiB live, 422.8MiB allocated
Compiler: Compiled 57 524 to 4 634 computations (91.9% saved)

prune185.0ms (1.7%)

Memory

-9.0MiB live, 473.2MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 210	8	1 218
Fresh	6	17	23
Picked	3	2	5
Done	0	1	1
Total	1 219	28	1 247

Accuracy

99.9%

Counts

1 247 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(fma.f64 (/.f64 #s(approx (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (/.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 i #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	69.2%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	79.7%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (*.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 1/2 binary64) #s(literal 1/2 binary64))
▶	3.5%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	60.6%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.8%	(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -1 binary64)))))
✓	79.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))))
	34.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	63.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha) (pow.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 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 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))))))
	21.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (/.f64 (.f64 #s(literal -2 binary64) alpha) (-.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))))))))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.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)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (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)))
	53.3%	(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) #s(literal -2 binary64)) (.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal 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)))))
	56.8%	#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)))
	22.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
	16.5%	#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))
	17.4%	#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)) #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))) alpha))) alpha))
	17.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	18.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
	73.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	44.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
	22.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.f64 (/.f64 i alpha) #s(literal 2 binary64)))))
	8.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
	6.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
▶	28.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	37.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
✓	57.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
▶	57.2%	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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 1 584 to 800 computations (49.5% saved)

simplify142.0ms (1.3%)

Memory

-29.0MiB live, 216.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 beta alpha) (+.f64 beta alpha))
cost-diff	0	(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	6080	(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
cost-diff	0	(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))
cost-diff	0	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
cost-diff	0	#s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	192	(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))
cost-diff	0	(*.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)))
cost-diff	0	#s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (*.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))))
cost-diff	0	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (*.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 1/2 binary64) #s(literal 1/2 binary64))

Rules

12 266×	`lower-fma.f32`
12 248×	`lower-fma.f64`
3 962×	`lower-*.f32`
3 956×	`lower-*.f64`
3 130×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	511
0	96	499
1	202	499
2	380	497
3	1108	497
4	4875	497
5	6463	497
0	8266	488

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (1.8%)

Memory

19.5MiB live, 372.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
accuracy	0.015625	(pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
accuracy	11.620775598781131	(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	19.837192679983445	(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	0.01953125	(/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
accuracy	12.443058362572849	(/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha))
accuracy	15.14985232378924	(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))
accuracy	17.65576000896081	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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)))
accuracy	0	(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
accuracy	13.007193875923722	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	42.70869411813481	#s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	11.571797020507745	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	50.00160682296377	#s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64))
accuracy	0.01953125	(/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))
accuracy	0.09375	(*.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)))
accuracy	11.571797020507745	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (*.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 1/2 binary64) #s(literal 1/2 binary64))
accuracy	25.123380197698225	#s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (*.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))))

Samples

79.0ms	191×	0	valid
64.0ms	47×	1	valid
19.0ms	18×	2	valid

Compiler

Compiled 449 to 57 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

adjust: 38.0ms (28.6% of total)

ival-mult: 38.0ms (28.6% of total)

ival-add: 25.0ms (18.8% of total)

ival-div: 23.0ms (17.3% of total)

ival-sub: 5.0ms (3.8% of total)

ival-pow: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series129.0ms (1.2%)

Memory

-3.6MiB live, 288.2MiB allocated

Counts

22 → 648

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
20.0ms	beta	@	0	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/ beta (+ (+ (* i 2) beta) 2)) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (* 4 i) 2) beta) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (/ -1/2 (+ (+ (* i 2) alpha) 2)) (+ (+ (* i 2) alpha) 2) (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) (/ (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) 2) (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (* (- beta alpha) (+ beta alpha)) (+ (* 4 i) 2) (/ (* alpha alpha) (+ (* i 2) alpha)) (pow (+ (* i 2) (+ beta alpha)) -1) (+ (* i 2) (+ beta alpha)))
5.0ms	alpha	@	-inf	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/ beta (+ (+ (* i 2) beta) 2)) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (* 4 i) 2) beta) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (/ -1/2 (+ (+ (* i 2) alpha) 2)) (+ (+ (* i 2) alpha) 2) (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) (/ (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) 2) (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (* (- beta alpha) (+ beta alpha)) (+ (* 4 i) 2) (/ (* alpha alpha) (+ (* i 2) alpha)) (pow (+ (* i 2) (+ beta alpha)) -1) (+ (* i 2) (+ beta alpha)))
5.0ms	beta	@	inf	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/ beta (+ (+ (* i 2) beta) 2)) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (* 4 i) 2) beta) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (/ -1/2 (+ (+ (* i 2) alpha) 2)) (+ (+ (* i 2) alpha) 2) (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) (/ (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) 2) (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (* (- beta alpha) (+ beta alpha)) (+ (* 4 i) 2) (/ (* alpha alpha) (+ (* i 2) alpha)) (pow (+ (* i 2) (+ beta alpha)) -1) (+ (* i 2) (+ beta alpha)))
4.0ms	i	@	0	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/ beta (+ (+ (* i 2) beta) 2)) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (* 4 i) 2) beta) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (/ -1/2 (+ (+ (* i 2) alpha) 2)) (+ (+ (* i 2) alpha) 2) (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) (/ (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) 2) (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (* (- beta alpha) (+ beta alpha)) (+ (* 4 i) 2) (/ (* alpha alpha) (+ (* i 2) alpha)) (pow (+ (* i 2) (+ beta alpha)) -1) (+ (* i 2) (+ beta alpha)))
4.0ms	i	@	inf	((+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/ beta (+ (+ (* i 2) beta) 2)) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (/ (+ (* 4 i) 2) beta) (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (/ -1/2 (+ (+ (* i 2) alpha) 2)) (+ (+ (* i 2) alpha) 2) (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) (/ (+ (* (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (pow (+ (* i 2) (+ beta alpha)) -1)) 1) 2) (/ (* (- beta alpha) (+ beta alpha)) (+ (+ (* i 2) (+ beta alpha)) 2)) (* (- beta alpha) (+ beta alpha)) (+ (* 4 i) 2) (/ (* alpha alpha) (+ (* i 2) alpha)) (pow (+ (* i 2) (+ beta alpha)) -1) (+ (* i 2) (+ beta alpha)))

simplify333.0ms (3%)

Memory

30.4MiB live, 574.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 498×	`lower-*.f64`
6 498×	`lower-*.f32`
5 880×	`lower-fma.f64`
5 880×	`lower-fma.f32`
4 530×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2022	38556
1	6791	38554
0	8293	34820

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 637

Calls

Call 1

Inputs
(+ 1/2 (* -1/2 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(+ 1/2 (+ (* -1/2 (/ (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 (+ (* -1/2 (/ (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 (+ (* -1/2 (/ (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)))))))))))))
(* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(+ (* -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 (/ (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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beta
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(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
1
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1
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beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta))))))
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(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(/ 1 beta)
(* -1 (/ (- (+ (* 2 (/ i beta)) (/ alpha beta)) 1) beta))
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beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
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(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
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(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
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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))
(* -1/2 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) alpha))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))))))) alpha)) (* -1/2 (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))))) alpha)) (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))) alpha)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha))
(/ -1/2 alpha)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 (* 2 i)) alpha))) alpha))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 (* 2 i)) alpha)) 1)))
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(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
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(* -1 (pow alpha 2))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
alpha
(* -1 (* alpha (- (* 2 (/ i alpha)) 1)))
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(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ i alpha)) (/ beta alpha)) 1) alpha))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
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(/ (- beta alpha) (+ 2 (+ alpha beta)))
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(/ beta (+ 2 beta))
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(/ beta (+ 2 beta))
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(/ (- beta alpha) (+ 2 (+ alpha beta)))
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(- 1 (/ 1 beta))
(- (+ 1 (* -2 (/ i beta))) (/ 1 beta))
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(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* i (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))) (* beta (+ 2 beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (* beta (+ 2 beta))))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))))))
(/ 2 beta)
(+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))
(+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))
(+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))
(+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ alpha beta)))))
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(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
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(/ -1/2 (+ 2 alpha))
(- (/ i (pow (+ 2 alpha) 2)) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* i (+ (* -2 (/ i (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* i (+ (* i (- (* 4 (/ i (pow (+ 2 alpha) 4))) (* 2 (/ 1 (pow (+ 2 alpha) 3))))) (/ 1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ 2 alpha)
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(- (+ 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))))
(* 1/2 (- (+ 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)))))))))))
(/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta)))
(+ (* -2 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 2))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
(+ (* i (- (* 4 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 3))) (* 2 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 2))))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
(+ (* i (- (* i (- (* -8 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 4))) (* -4 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 3))))) (* 2 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 2))))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
2
(+ 2 (* 4 i))
(+ 2 (* 4 i))
(+ 2 (* 4 i))
alpha
(+ alpha (* -2 i))
(+ alpha (* i (- (* 4 (/ i alpha)) 2)))
(+ alpha (* i (- (* i (+ (* -8 (/ i (pow alpha 2))) (* 4 (/ 1 alpha)))) 2)))
(/ 1 (+ alpha beta))
(+ (* -2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))
(+ (* i (- (* 4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))
(+ (* i (- (* i (+ (* -8 (/ i (pow (+ alpha beta) 4))) (* 4 (/ 1 (pow (+ alpha beta) 3))))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))
(+ alpha beta)
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ 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 (+ (* -1/2 (/ (+ (* -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))
(* 1/4 (/ (pow beta 2) (pow i 2)))
(/ (+ (* -1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 2))) (* 1/4 (pow beta 2))) (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* -1/64 (* (pow beta 3) (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))))) (pow i 3))) (* 1/4 (pow beta 2))) (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) (pow i 2)))))) (pow i 2))
(* 1/2 (/ beta i))
(/ (+ (* -1/4 (/ (* beta (+ 2 beta)) i)) (* 1/2 beta)) i)
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 2 beta) 2)) (pow i 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 2 beta)) i))) i)
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 2 beta) 3)) (pow i 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 2 beta) 2)) (pow i 2))) (* 1/4 (/ (* beta (+ 2 beta)) 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))))))
(* 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 beta))
(* i (- (/ 1 i) (+ (* 2 (/ 1 beta)) (/ 1 (* beta i)))))
(* i (- (/ 1 i) (+ (* 2 (/ 1 beta)) (/ 1 (* beta i)))))
(* i (- (/ 1 i) (+ (* 2 (/ 1 beta)) (/ 1 (* 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
(+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
(* 4 (/ i beta))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* 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
(+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* 1/32 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3)))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (+ (* 1/32 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3))) (* 1/2 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) (pow i 4))))))
(/ -1/4 i)
(/ (- (* 1/8 (/ (+ 2 alpha) i)) 1/4) i)
(/ (- (* -1/16 (/ (pow (+ 2 alpha) 2) (pow i 2))) (+ 1/4 (* -1/8 (/ (+ 2 alpha) i)))) i)
(/ (- (* 1/32 (/ (pow (+ 2 alpha) 3) (pow i 3))) (+ 1/4 (+ (* -1/8 (/ (+ 2 alpha) i)) (* 1/16 (/ (pow (+ 2 alpha) 2) (pow i 2)))))) i)
(* 2 i)
(* i (+ 2 (+ (* 2 (/ 1 i)) (/ alpha i))))
(* i (+ 2 (+ (* 2 (/ 1 i)) (/ alpha i))))
(* i (+ 2 (+ (* 2 (/ 1 i)) (/ alpha i))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -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 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i)))) i)
(* 4 i)
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* 1/2 (/ (pow alpha 2) i))
(/ (+ (* -1/4 (/ (pow alpha 3) i)) (* 1/2 (pow alpha 2))) i)
(/ (- (+ (* 1/8 (/ (pow alpha 4) (pow i 2))) (* 1/2 (pow alpha 2))) (* 1/4 (/ (pow alpha 3) i))) i)
(/ (- (+ (* -1/16 (/ (pow alpha 5) (pow i 3))) (* 1/2 (pow alpha 2))) (+ (* -1/8 (/ (pow alpha 4) (pow i 2))) (* 1/4 (/ (pow alpha 3) i)))) i)
(/ 1/2 i)
(/ (+ 1/2 (* -1/4 (/ (+ alpha beta) i))) i)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) i)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) 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 (/ (+ (* -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))
(* 1/4 (/ (pow beta 2) (pow i 2)))
(/ (+ (* 1/16 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (+ (* -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)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 beta) (* -2 (+ 2 beta))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* -1/64 (/ (* (pow beta 3) (* (+ 2 beta) (+ (* -2 beta) (* -2 (+ 2 beta))))) i))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 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))))
(+ 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))
(* -2 (/ i beta))
(* -1 (* i (+ (* -1 (/ (- 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(* -1 (* i (+ (* -1 (/ (- 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(* -1 (* i (+ (* -1 (/ (- 1 (/ 1 beta)) i)) (* 2 (/ 1 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 (/ (+ (* -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 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(* 4 (/ i beta))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* 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)))))
1/2
(+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* -1/32 (/ (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))) (pow i 3)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) i)) (* 1/32 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) (pow i 3))) (* -1/8 (/ (pow alpha 2) (pow i 2)))))
(/ -1/4 i)
(* -1 (/ (+ 1/4 (* -1/8 (/ (+ 2 alpha) i))) i))
(* -1 (/ (+ 1/4 (* -1 (/ (- (* -1/16 (/ (pow (+ 2 alpha) 2) i)) (* -1/8 (+ 2 alpha))) i))) i))
(* -1 (/ (+ 1/4 (* -1 (/ (- (* -1 (/ (- (* -1/32 (/ (pow (+ 2 alpha) 3) i)) (* -1/16 (pow (+ 2 alpha) 2))) i)) (* -1/8 (+ 2 alpha))) i))) i))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ 2 alpha) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ 2 alpha) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ 2 alpha) 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 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* 4 i)
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* 1/2 (/ (pow alpha 2) i))
(* -1 (/ (+ (* -1/2 (pow alpha 2)) (* 1/4 (/ (pow alpha 3) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow alpha 4) i)) (* 1/4 (pow alpha 3))) i)) (* -1/2 (pow alpha 2))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow alpha 5) i)) (* 1/8 (pow alpha 4))) i)) (* 1/4 (pow alpha 3))) i)) (* -1/2 (pow alpha 2))) i))
(/ 1/2 i)
(* -1 (/ (- (* 1/4 (/ (+ alpha beta) i)) 1/2) i))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ alpha beta) 2) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ alpha beta) 3) i)) (* 1/8 (pow (+ alpha beta) 2))) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))

Outputs
(+ 1/2 (* -1/2 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(fma.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (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)))))))))
(+.f64 (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (-.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 (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)))))) (/.f64 (.f64 (.f64 alpha alpha) #s(literal -1/2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (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))))))))))
(+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (-.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 (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)))))) (+.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)) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta (-.f64 (.f64 #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 (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 (.f64 (.f64 alpha alpha) #s(literal -1/2 binary64)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ 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)))))))))))))
(+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 (neg.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 3 binary64))) (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (/.f64 (neg.f64 alpha) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (-.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 (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)))))) (+.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)) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (-.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 (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)))))) (+.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)) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) beta (.f64 (-.f64 (.f64 #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 (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)))))) #s(literal 1/2 binary64))) beta (/.f64 (.f64 (.f64 alpha alpha) #s(literal -1/2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(* -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 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
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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 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
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(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
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beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
(*.f64 (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) beta)
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))) (pow beta 2))))))
(.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 alpha beta) (.f64 (/.f64 alpha beta) (/.f64 alpha beta))) #s(literal 1 binary64)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)))) beta)
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (pow alpha 2)) (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))) (pow beta 2))))))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(.f64 (fma.f64 #s(literal 0 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
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(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
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(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))) beta)
(/.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta)
(/ (- (+ 1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ alpha (* 2 i)) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta)))) beta)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)))) beta)
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))))
(*.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))))
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta)
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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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
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1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta))))))
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(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i))))))))) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i))))))))) beta)) beta))) beta)) 1)))
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(pow beta 2)
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(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
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(/ 1 beta)
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(* -1 (/ (- (+ (* 2 (/ i beta)) (/ alpha beta)) 1) beta))
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(* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 2) beta) (+ alpha (* 2 i))) beta)) 1) beta))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 3) beta) (pow (+ alpha (* 2 i)) 2)) beta)) (+ alpha (* 2 i))) beta)) 1) beta))
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beta
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(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ (- (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow alpha 2))) (+ (* -1/2 (+ 2 (* 4 i))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) alpha)))) alpha)
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alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha)))))
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(* alpha (+ 1 (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha)))))
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(* alpha (+ 1 (+ (* 2 (/ i alpha)) (* 2 (/ 1 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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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/.f64 (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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.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 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)))))
(*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ 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 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1 binary64))) alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))) (pow alpha 2))))))
(.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.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)))) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1 binary64)))) alpha)
(* -1 (pow alpha 2))
(neg.f64 (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 1 binary64)) (*.f64 alpha alpha))
alpha
(* alpha (+ 1 (* -2 (/ i alpha))))
(*.f64 (fma.f64 (/.f64 i alpha) #s(literal -2 binary64) #s(literal 1 binary64)) alpha)
(* alpha (- (+ 1 (* 4 (/ (pow i 2) (pow alpha 2)))) (* 2 (/ i alpha))))
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(* alpha (- (+ 1 (* -8 (/ (pow i 3) (pow alpha 3)))) (+ (* -4 (/ (pow i 2) (pow alpha 2))) (* 2 (/ i alpha)))))
(.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -4 binary64) alpha) (/.f64 (.f64 i i) alpha) (*.f64 (/.f64 i alpha) #s(literal 2 binary64)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) alpha)
(/ (- (+ 1 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 2 (/ i alpha)) (/ beta alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)) (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ beta (* 2 i)) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 2 (/ i alpha)) (/ beta alpha)))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)))) alpha)
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 (+ (* -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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(* -1/2 (/ (- (+ 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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(* -1/2 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) alpha))
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(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) alpha)) (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))) alpha)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))))))) alpha)) (* -1/2 (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))))) alpha)) (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))) alpha)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha))
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(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 (* 2 i)) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 (* 2 i)) 2) alpha)) (* -1/2 (+ 2 (* 2 i)))) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) #s(literal 1/2 binary64)) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 (* 2 i)) 3) alpha)) (* -1/2 (pow (+ 2 (* 2 i)) 2))) alpha)) (* -1/2 (+ 2 (* 2 i)))) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) #s(literal 1/2 binary64)) alpha))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 (* 2 i)) alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 (* 2 i)) alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 (* 2 i)) alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) 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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha))) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) 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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (-.f64 (fma.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) 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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))))) alpha))) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) 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 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (fma.f64 beta beta (neg.f64 (/.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 (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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) (fma.f64 i #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (fma.f64 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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha))) (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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha))) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) 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 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 alpha)
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(.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i))
(neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (.f64 (+.f64 beta alpha) (/.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 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))) #s(literal 1/8 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (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) (/.f64 (-.f64 beta alpha) i))) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (pow.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))))) i) #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) i))) i))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* i (+ 4 (* 2 (/ 1 i))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) i)
(* i (+ 4 (* 2 (/ 1 i))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) i)
(* i (+ 4 (* 2 (/ 1 i))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) i)
(* 1/2 (/ (pow alpha 2) i))
(.f64 (/.f64 (.f64 alpha alpha) i) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (pow alpha 2)) (* 1/4 (/ (pow alpha 3) i))) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) i) #s(literal 1/4 binary64) (.f64 (.f64 alpha alpha) #s(literal -1/2 binary64))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow alpha 4) i)) (* 1/4 (pow alpha 3))) i)) (* -1/2 (pow alpha 2))) i))
(neg.f64 (/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 alpha #s(literal 4 binary64)) i) #s(literal 1/8 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 alpha #s(literal 3 binary64)))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow alpha 5) i)) (* 1/8 (pow alpha 4))) i)) (* 1/4 (pow alpha 3))) i)) (* -1/2 (pow alpha 2))) i))
(neg.f64 (/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 alpha #s(literal 5 binary64)) i) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 alpha #s(literal 4 binary64)))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 alpha #s(literal 3 binary64)))) i))) i))
(/ 1/2 i)
(/.f64 #s(literal 1/2 binary64) i)
(* -1 (/ (- (* 1/4 (/ (+ alpha beta) i)) 1/2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) i))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ alpha beta) 2) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 beta alpha))) i) #s(literal -1 binary64) #s(literal -1/2 binary64)) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ alpha beta) 3) i)) (* 1/8 (pow (+ alpha beta) 2))) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) i) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (+.f64 beta alpha))) i) #s(literal -1 binary64) #s(literal -1/2 binary64)) i))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) i))

rewrite239.0ms (2.1%)

Memory

-28.7MiB live, 410.8MiB allocated

Rules

4 364×	`lower-*.f32`
4 358×	`lower-*.f64`
3 788×	`lower-fma.f32`
3 770×	`lower-fma.f64`
3 696×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	451
0	96	437
1	552	437
2	4341	437
0	8720	431

Stop Event

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

Counts

22 → 517

Calls

Call 1

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

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

eval229.0ms (2%)

Memory: 33.1MiB live, 624.9MiB allocated
Compiler: Compiled 59 201 to 4 973 computations (91.6% saved)

prune182.0ms (1.6%)

Memory

-23.7MiB live, 506.9MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 227	10	1 237
Fresh	4	16	20
Picked	3	2	5
Done	0	3	3
Total	1 234	31	1 265

Accuracy

99.9%

Counts

1 265 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	79.7%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (*.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 1/2 binary64) #s(literal 1/2 binary64))
	73.8%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	3.5%	(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	43.7%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(approx (pow (+ ( i 2) (+ beta alpha)) -1) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal -2 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -1 binary64)))))
✓	79.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))))
	34.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	63.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha) (pow.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 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 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))))))
	21.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (/.f64 (.f64 #s(literal -2 binary64) alpha) (-.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))))))))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2))) 1)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.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)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (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)))
	56.8%	#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)))
	22.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
	16.5%	#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))
	17.4%	#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)) #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))) alpha))) alpha))
	17.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	18.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
	44.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
	22.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.f64 (/.f64 i alpha) #s(literal 2 binary64)))))
	8.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
	6.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
	30.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	29.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
	2.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (*.f64 #s(literal -2 binary64) (/.f64 i beta)))))
✓	37.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
✓	57.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
	40.7%	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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))) #s(approx (/ (* alpha alpha) (+ (* i 2) alpha)) (fma.f64 #s(literal -2 binary64) i alpha)) #s(literal 1/2 binary64)))
	57.0%	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (fma.f64 (.f64 alpha alpha) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	58.8%	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	58.9%	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) alpha) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) alpha) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) alpha) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1/2 binary64)))))
	49.9%	#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) #s(approx (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

Compiler

Compiled 2 495 to 779 computations (68.8% saved)

regimes138.0ms (1.2%)

Memory

-6.3MiB live, 188.3MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

31.0ms	beta
23.0ms	alpha
19.0ms	(/.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	(*.f64 #s(literal 2 binary64) i)
15.0ms	(/.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
91.5%	2	`alpha`
89.1%	3	`beta`
86.2%	2	`i`
98.6%	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))`
98.6%	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))`
98.6%	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)))`
86.2%	2	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes35.0ms (0.3%)

Memory

6.7MiB live, 48.7MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

15.0ms

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

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))

Results

Accuracy	Segments	Branch
98.6%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.6%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes53.0ms (0.5%)

Memory

9.9MiB live, 48.4MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

32.0ms

(+.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 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 (+.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
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)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes50.0ms (0.4%)

Memory

2.6MiB live, 41.3MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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)))

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))

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
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)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes41.0ms (0.4%)

Memory

-1.5MiB live, 37.2MiB 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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (*.f64 #s(literal -2 binary64) (/.f64 i beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) #s(approx (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (+.f64 (/.f64 beta (+.f64 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) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.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 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (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) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.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 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.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 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 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)))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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))) #s(approx (/ (* alpha alpha) (+ (* i 2) alpha)) (fma.f64 #s(literal -2 binary64) i 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 (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.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) (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)))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.f64 (/.f64 i alpha) #s(literal 2 binary64)))))

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

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

Calls

3 calls:

25.0ms

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

Results

Accuracy	Segments	Branch
96.8%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.8%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.8%	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)

regimes44.0ms (0.4%)

Memory

-5.0MiB live, 45.5MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

#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)))

Calls

3 calls:

28.0ms

(+.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 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 (+.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
96.8%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.8%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.8%	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)

regimes43.0ms (0.4%)

Memory

1.8MiB live, 40.3MiB 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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (*.f64 #s(literal -2 binary64) (/.f64 i beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) #s(approx (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (+.f64 (/.f64 beta (+.f64 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) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.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 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (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) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.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 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.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 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 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)))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 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))) #s(approx (/ (* alpha alpha) (+ (* i 2) alpha)) (fma.f64 #s(literal -2 binary64) i 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 (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.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) (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) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (*.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))

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

28.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
95.5%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.5%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.5%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes41.0ms (0.4%)

Memory

-3.8MiB live, 34.4MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

27.0ms

(/.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
95.5%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.5%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.5%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes33.0ms (0.3%)

Memory

-13.7MiB live, 23.7MiB 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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (*.f64 #s(literal -2 binary64) (/.f64 i beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) #s(approx (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (+.f64 (/.f64 beta (+.f64 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) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.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 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (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) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.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 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.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 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.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) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.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:

21.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
95.5%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.5%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.5%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes22.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

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

6.0ms	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
82.1%	2	`alpha`
92.3%	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))`
92.3%	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))`
92.3%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes21.0ms (0.2%)

Memory

-23.0MiB live, 20.1MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

11.0ms

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

4.0ms

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

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))

Results

Accuracy	Segments	Branch
91.9%	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))`
91.9%	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))`
91.9%	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)

regimes14.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

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)))

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
91.9%	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))`
91.9%	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))`
91.9%	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)

regimes38.0ms (0.3%)

Memory

-20.9MiB live, 17.1MiB 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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(literal 1 binary64)))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (*.f64 #s(literal -2 binary64) (/.f64 i beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) #s(approx (+ (* (/ -1/2 (+ (+ (* i 2) alpha) 2)) (/ (* alpha alpha) (+ (* i 2) alpha))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) (+.f64 (/.f64 beta (+.f64 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) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.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 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 4 binary64) 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 #s(approx (+ (+ (* 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.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))

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

Calls

3 calls:

29.0ms

(/.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
91.9%	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))`
91.9%	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))`
91.9%	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)

regimes47.0ms (0.4%)

Memory

-1.0MiB live, 37.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	i
4.0ms	(*.f64 #s(literal 2 binary64) i)
4.0ms	alpha
4.0ms	beta
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)))

Results

Accuracy	Segments	Branch
76.8%	2	`alpha`
76.4%	2	`i`
76.4%	2	`(*.f64 #s(literal 2 binary64) i)`
73.8%	1	`beta`
81.4%	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))`
81.4%	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))`
81.4%	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 87 to 55 computations (36.8% saved)

regimes11.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

3.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 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))

Results

Accuracy	Segments	Branch
81.1%	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))`
81.1%	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))`
81.1%	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)

regimes10.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
81.1%	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))`
81.1%	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))`
81.1%	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)

regimes24.0ms (0.2%)

Memory

-28.7MiB live, 9.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

19.0ms

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

2.0ms

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

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)))

Results

Accuracy	Segments	Branch
81.1%	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))`
81.1%	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))`
81.1%	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)

regimes6.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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 (+.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 (+.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
77.7%	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))`
77.7%	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))`
77.7%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes9.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(*.f64 #s(literal 2 binary64) i)
1.0ms	i
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)))

Results

Accuracy	Segments	Branch
57.8%	1	`beta`
57.8%	1	`i`
57.8%	1	`(*.f64 #s(literal 2 binary64) i)`
57.8%	1	`alpha`
57.8%	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))`
57.8%	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))`
57.8%	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 87 to 55 computations (36.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998923	-0.999936916371086

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	0.9999999884734571	0.9999999998081172
0.0ms	-0.9999999999998923	-0.999936916371086

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	-0.9999050819717828	-0.17746587226602958

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999050819717828	-0.17746587226602958

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	0.0018337490345571744	0.999864253351886
0.0ms	-0.9999999999998923	-0.999936916371086

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	0.0018337490345571744	0.999864253351886
0.0ms	-0.9999999999998923	-0.999936916371086

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	4.688443829548519e-84	5.2649675509173623e-82
0.0ms	-0.9999050819717828	-0.17746587226602958

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	4.688443829548519e-84	5.2649675509173623e-82
0.0ms	-0.9999050819717828	-0.17746587226602958

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.688443829548519e-84	5.2649675509173623e-82
0.0ms	-0.9999050819717828	-0.17746587226602958

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.688443829548519e-84	5.2649675509173623e-82
0.0ms	-0.999936916371086	-0.9999050819717828

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0018337490345571744	0.999864253351886
0.0ms	-0.999936916371086	-0.9999050819717828

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch5.0ms (0%)

Memory

-42.7MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0018337490345571744	0.999864253351886
0.0ms	-0.999936916371086	-0.9999050819717828

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0018337490345571744	0.999864253351886
0.0ms	-0.999936916371086	-0.9999050819717828

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	0.0018337490345571744	0.999864253351886
0.0ms	-0.9999999999999254	-0.9999999999998923

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	4.688443829548519e-84	5.2649675509173623e-82
0.0ms	-0.9999999999999254	-0.9999999999998923

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	0.0018337490345571744	0.999864253351886
0.0ms	-0.9999999999999254	-0.9999999999998923

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	0.0018337490345571744	0.999864253351886
0.0ms	-0.9999999999999254	-0.9999999999998923

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch10.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0018337490345571744	0.999864253351886

Samples

4.0ms

128×

valid

Compiler

Compiled 64 to 118 computations (-84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (60.6% of total)

ival-add: 1.0ms (60.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify56.0ms (0.5%)

Memory

-0.5MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`-commutative-binary64-.f64`
38×	`+-commutative-binary64-+.f64`
38×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
34×	`neg-mul-1-binary64-*.f64-neg.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	3132
1	229	3132
2	246	3132
3	258	3132
4	268	3132
5	292	3132
6	332	3132

Stop Event

1×

saturated

Calls

Call 1

Inputs
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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 -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (.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 9007199164668999/9007199254740992 binary64)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (*.f64 (/.f64 beta (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 1/2 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 (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (.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) (fma.f64 (*.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 1/2 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 (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (.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) (*.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 -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (.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 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (* (- beta alpha) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 #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)))))
(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 -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (.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 1152921504606847/576460752303423488 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))) #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)))))
(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 (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (fma.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (.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 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 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) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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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 -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.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 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 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) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.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 -9006478678800613/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 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) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) (/.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 -9006478678800613/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #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 -9006478678800613/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #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 -9006478678800613/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ (+ ( 4 i) (* beta 2)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
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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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 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))))
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#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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) (fma.f64 (/.f64 #s(approx (+ (* 4 i) 2) (*.f64 #s(literal 4 binary64) i)) beta) #s(literal -1/2 binary64) #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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 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) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 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) (/ (+ alpha beta) (+ (* i 2) (+ alpha beta)))) (+ (+ (* i 2) (+ alpha beta)) 2)) #s(approx (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* i 2) beta) 2)) (/ beta (+ (* i 2) beta))) 1) 1/2) #s(approx (+ (* (/ (+ (* 4 i) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* beta 2)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 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 1/2 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)))
(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 1/2 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

soundness1.5s (13.8%)

Memory

23.0MiB live, 1 491.7MiB allocated

Rules

7 238×	`lower-*.f64`
7 238×	`lower-*.f32`
6 830×	`lower-*.f64`
6 830×	`lower-*.f32`
6 498×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	103
0	25	103
1	125	103
2	1197	103
0	8707	93
0	2198	42227
1	7278	42227
0	8650	38082
0	66	479
0	94	458
1	519	458
2	4233	458
0	8410	451
0	64	451
0	96	437
1	552	437
2	4341	437
0	8720	431
0	2022	41773
1	6781	41771
0	8065	37784
0	933	12926
1	3169	11301
0	8840	10167
0	2022	38556
1	6791	38554
0	8293	34820
0	51	537
0	85	492
1	472	488
2	4912	488
0	9523	476

Stop Event

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

Compiler

Compiled 2 615 to 967 computations (63% saved)

preprocess127.0ms (1.1%)

Memory: -5.6MiB live, 270.6MiB allocated
Compiler: Compiled 2 866 to 334 computations (88.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze98.0ms (0.9%)

sample1.8s (15.7%)

explain265.0ms (2.4%)

preprocess195.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify491.0ms (4.4%)

localize43.0ms (0.4%)

series55.0ms (0.5%)

simplify242.0ms (2.2%)

rewrite199.0ms (1.8%)

eval121.0ms (1.1%)

prune370.0ms (3.3%)

simplify237.0ms (2.1%)

localize228.0ms (2%)

series201.0ms (1.8%)

simplify335.0ms (3%)

rewrite227.0ms (2%)

eval410.0ms (3.7%)

prune312.0ms (2.8%)

simplify193.0ms (1.7%)

localize225.0ms (2%)

series136.0ms (1.2%)

simplify326.0ms (2.9%)

rewrite195.0ms (1.7%)

eval280.0ms (2.5%)

prune185.0ms (1.7%)

simplify142.0ms (1.3%)

localize198.0ms (1.8%)

series129.0ms (1.2%)

simplify333.0ms (3%)

rewrite239.0ms (2.1%)

eval229.0ms (2%)

prune182.0ms (1.6%)

regimes138.0ms (1.2%)

regimes35.0ms (0.3%)

regimes53.0ms (0.5%)

regimes50.0ms (0.4%)

regimes41.0ms (0.4%)

regimes44.0ms (0.4%)

regimes43.0ms (0.4%)

regimes41.0ms (0.4%)

regimes33.0ms (0.3%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

regimes38.0ms (0.3%)

regimes47.0ms (0.4%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes24.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (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%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

simplify56.0ms (0.5%)

soundness1.5s (13.8%)

preprocess127.0ms (1.1%)

end0.0ms (0%)

Profiling