Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze49.0ms (0.4%)

Memory

8.6MiB live, 84.7MiB 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)

sample1.9s (17%)

Memory

36.0MiB live, 2 353.2MiB allocated

Samples

660.0ms	6 590×	0	valid
285.0ms	1 208×	1	valid
207.0ms	458×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 885.0ms

ival-add: 254.0ms (28.7% of total)

ival-div: 233.0ms (26.3% of total)

ival-mult: 144.0ms (16.3% of total)

adjust: 84.0ms (9.5% of total)

ival-sub: 73.0ms (8.2% of total)

ival->: 60.0ms (6.8% of total)

exact: 18.0ms (2% of total)

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

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

Bogosity

explain403.0ms (3.7%)

Memory

15.2MiB live, 330.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	89	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	89
`+.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	1

Confusion

	Predicted +	Predicted -
+	106	0
-	0	150

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	0
-	0	0	150

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	150
1	62
2	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms	392×	0	valid
48.0ms	44×	2	valid
15.0ms	76×	1	valid

Compiler

Compiled 302 to 49 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 16.0ms (36.1% of total)

ival-div: 11.0ms (24.8% of total)

ival-mult: 7.0ms (15.8% of total)

adjust: 5.0ms (11.3% of total)

ival-sub: 3.0ms (6.8% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess244.0ms (2.2%)

Memory

-66.5MiB live, 214.6MiB 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 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 32 to 15 computations (53.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(/.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))

Status

Accuracy

Program

▶

60.0%

(/.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))

Compiler

Compiled 32 to 15 computations (53.1% saved)

simplify165.0ms (1.5%)

Memory

11.1MiB live, 278.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize101.0ms (0.9%)

Memory

-8.7MiB live, 196.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.04296875	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	14.193007729677436	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.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	22.16075450208083	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

18.0ms	196×	0	valid
9.0ms	22×	2	valid
7.0ms	38×	1	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 9.0ms (40% of total)

ival-div: 6.0ms (26.6% of total)

adjust: 3.0ms (13.3% of total)

ival-mult: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory

0.4MiB live, 121.2MiB allocated

Counts

6 → 192

Calls

Call 1

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

Outputs
#s(alt (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (taylor 0 alpha) (#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 (+ (* 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))))) (taylor 0 alpha) (#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 (+ (* 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))))) (taylor 0 alpha) (#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>) () ())) ())
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Calls

48 calls:

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

simplify208.0ms (1.9%)

Memory

43.2MiB live, 274.0MiB 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	12962
1	3169	11337
0	8840	10203

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 186

Calls

Call 1

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

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

rewrite192.0ms (1.8%)

Memory

-27.1MiB live, 298.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 305

Calls

Call 1

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

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

eval127.0ms (1.2%)

Memory: -11.0MiB live, 146.2MiB allocated
Compiler: Compiled 31 496 to 2 366 computations (92.5% saved)

prune119.0ms (1.1%)

Memory

5.8MiB live, 166.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	567	14	581
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	568	14	582

Accuracy

99.9%

Counts

582 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (+.f64 beta alpha) (/.f64 #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))
	52.1%	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #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))
	42.5%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	77.7%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.6%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	66.4%	(.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 1/2 binary64))
	20.1%	#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 alpha #s(literal 2 binary64)))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	60.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
▶	35.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal 1/2 binary64)))
▶	19.8%	#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 #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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha))) alpha))
	25.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)))
▶	65.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	30.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	61.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 764 to 356 computations (53.4% saved)

simplify180.0ms (1.6%)

Memory

32.7MiB live, 109.8MiB 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 #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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	384	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha)))
cost-diff	0	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
cost-diff	0	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i 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 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	384	(/.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)))

Rules

10 484×	`lower-fma.f32`
10 472×	`lower-fma.f64`
3 862×	`lower--.f32`
3 856×	`lower--.f64`
3 402×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	678
0	88	666
1	198	666
2	535	666
3	2259	657
4	6242	657
0	8636	631

Stop Event

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

Calls

Call 1

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

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

localize395.0ms (3.6%)

Memory

-34.0MiB live, 244.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.4476849483984657	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha))) alpha)
accuracy	4.960780005505784	(/.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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha)
accuracy	11.312407112359272	(-.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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
accuracy	48.4209108522898	#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 #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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha))) alpha))
accuracy	0	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0	(*.f64 i i)
accuracy	14.34920698367261	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i))
accuracy	38.44669073959278	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal 1/2 binary64)))
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	11.845059560928982	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
accuracy	16.961408331702412	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy	24.633953682326066	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0	(+.f64 beta alpha)
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.0625	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	14.288862292439518	(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

114.0ms	41×	1	valid
85.0ms	184×	0	valid
67.0ms	31×	2	valid

Compiler

Compiled 652 to 53 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-add: 65.0ms (37.6% of total)

ival-mult: 52.0ms (30.1% of total)

ival-sub: 24.0ms (13.9% of total)

ival-div: 20.0ms (11.6% of total)

adjust: 11.0ms (6.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series179.0ms (1.6%)

Memory

36.6MiB live, 156.5MiB allocated

Counts

21 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
12.0ms	i	@	inf	(+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2)
7.0ms	i	@	-inf	(* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha)))
4.0ms	i	@	inf	(/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))
4.0ms	beta	@	-inf	(* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))))
2.0ms	alpha	@	0	(* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha)))

simplify355.0ms (3.2%)

Memory

-0.3MiB live, 345.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 202×	`lower-*.f64`
6 202×	`lower-*.f32`
6 186×	`lower-fma.f64`
6 186×	`lower-fma.f32`
4 820×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2018	37008
1	6775	36882
0	8329	33404

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 642

Calls

Call 1

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

Outputs
(* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
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(+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.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)) alpha) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) beta (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))))
(+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ 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 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))
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(+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* beta (- (* beta (- (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* -1 (/ 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 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ 1 (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (+ (* -1 (/ 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 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))
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(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta)))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 beta beta))) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) beta)))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 (fma.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 (.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))))) (.f64 (.f64 beta beta) beta))) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 4 binary64) (+.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) (.f64 beta beta)) (/.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta))))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (/ alpha beta) (+ 1 (+ (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta)) (* -1 (/ (+ alpha (* 2 i)) beta))))) beta))
(neg.f64 (/.f64 (-.f64 (/.f64 alpha beta) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) 1) beta))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) beta)) 1) beta))
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(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* -1 (/ (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)))) alpha)
(/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 i #s(literal 2 binary64) beta) (.f64 (-.f64 beta (neg.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 alpha alpha))) (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))) alpha)
(/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (-.f64 beta (neg.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 (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) (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 beta (neg.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 (.f64 alpha alpha) alpha))) (/.f64 beta alpha)) (+.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 beta (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) alpha))) (/.f64 (.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 alpha alpha))) #s(literal 1 binary64))) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha) (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(/ (- beta alpha) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
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(* 1/4 (/ (- beta alpha) (pow i 2)))
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(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
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(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
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(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
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(* 1/4 (/ (- beta alpha) (pow i 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 beta alpha)) (.f64 i i))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
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(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
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(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 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 (/ (- (+ 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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(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ 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 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (+.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (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))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(/ (+ (* -1/2 (/ (+ (* -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 (/ (- (+ 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 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
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(+ (* 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
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(/ (+ 2 (* 2 beta)) alpha)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
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-1
#s(literal -1 binary64)
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ 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 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
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(+ (* 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
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
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(+ (* 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
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(* (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)))))
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(* (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 #s(literal -8 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 4 binary64)) alpha) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 alpha alpha)) (/.f64 (.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha)))) i))) i)) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha))) (*.f64 i i))
(* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha))
(.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha))) alpha) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))))) (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))) beta (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha))) alpha)))
(+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2)))))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))) #s(literal 1/2 binary64) (/.f64 (neg.f64 beta) (.f64 alpha alpha))) beta (.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha))) alpha) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2)))))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))) #s(literal 1/2 binary64) (/.f64 (neg.f64 beta) (.f64 alpha alpha))) beta (.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) alpha) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha))) alpha) #s(literal 1/2 binary64)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(neg.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)))
(* (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))))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (.f64 beta beta))
(* (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))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))) beta) (/.f64 (-.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) (.f64 alpha alpha)) #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 alpha alpha)))) (.f64 beta beta))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))
(* (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))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))) beta) (/.f64 (-.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) (.f64 alpha alpha)) #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 alpha alpha)))) (.f64 beta beta))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(neg.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)))
(* (pow beta 2) (- (* 1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) (* alpha beta))) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal -4 binary64) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))) (.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) beta))) beta)) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal -4 binary64) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) (.f64 alpha alpha)) #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 alpha alpha)))) beta))) beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) beta))) beta)) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal -4 binary64) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) (.f64 alpha alpha)) #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (.f64 alpha alpha)))) beta))) beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (.f64 beta beta))
(* 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) (.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 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))
(/.f64 (.f64 #s(literal 1/2 binary64) (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) (.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 alpha 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) (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) (.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 alpha 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) (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) (.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 alpha alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) 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)) 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) (.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 (+ (* 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) (.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 (+ (* 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) (.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 (+ (* 2 beta) (* 4 i))) 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)) alpha))
(* -1 (/ (+ (* -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))
(neg.f64 (/.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) (.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 (/ (+ (* -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))
(neg.f64 (/.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) (.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 (/ (+ (* -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))
(neg.f64 (/.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) (.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))

rewrite325.0ms (3%)

Memory

-17.7MiB live, 235.2MiB allocated

Rules

4 426×	`lower-*.f32`
4 412×	`lower-*.f64`
3 956×	`lower-/.f32`
3 942×	`lower-/.f64`
3 786×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	511
0	88	464
1	489	464
2	4711	464
0	9192	453

Stop Event

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

Counts

21 → 494

Calls

Call 1

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

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

eval233.0ms (2.1%)

Memory: 33.1MiB live, 568.4MiB allocated
Compiler: Compiled 73 082 to 4 908 computations (93.3% saved)

prune271.0ms (2.5%)

Memory

-3.0MiB live, 651.7MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1 317	19	1 336
Fresh	4	5	9
Picked	4	1	5
Done	0	0	0
Total	1 325	25	1 350

Accuracy

100.0%

Counts

1 350 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (+.f64 beta alpha) (/.f64 #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))
▶	52.1%	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #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))
▶	77.8%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.5%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.6%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 8 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.3%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 #s(approx (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	65.7%	(/.f64 (fma.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	20.1%	#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 alpha #s(literal 2 binary64)))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	60.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
	40.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/2 binary64)))
	45.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	48.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	23.6%	#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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (-.f64 (.f64 beta beta) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64)))))) alpha))) alpha))
	25.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha))
	48.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1 binary64))))))
	69.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
	3.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
	45.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))))
	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
	3.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 beta beta)) (*.f64 i i))))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
▶	30.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
✓	61.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 453 to 654 computations (55% saved)

simplify138.0ms (1.3%)

Memory

-11.4MiB live, 223.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #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))
cost-diff	320	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64)))
cost-diff	1088	(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))))
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(fma.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
cost-diff	128	(-.f64 (neg.f64 beta) #s(literal 2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))
cost-diff	384	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64))

Rules

7 208×	`lower-fma.f32`
7 192×	`lower-fma.f64`
3 466×	`lower-*.f32`
3 458×	`lower-*.f64`
2 782×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	636
0	106	632
1	253	618
2	727	610
3	3166	598
4	5153	598
5	7780	598
0	8243	584

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (2.1%)

Memory

2.1MiB live, 557.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	0.0625	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64)))
accuracy	2.5634426821153866	(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
accuracy	29.800369596217358	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))
accuracy	10.526428307448182	(/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))
accuracy	14.288862292439518	(fma.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1 binary64))
accuracy	26.221095377620905	#s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))))
accuracy	0.00390625	(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))
accuracy	0.0234375	(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta)
accuracy	11.845059560928982	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
accuracy	44.570379838268906	#s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)))
accuracy	11.845059560928982	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
accuracy	41.05360177544231	#s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))
accuracy	14.198535219908994	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64))

Samples

81.0ms	184×	0	valid
41.0ms	31×	2	valid
36.0ms	41×	1	valid

Compiler

Compiled 591 to 63 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-div: 38.0ms (33.1% of total)

ival-add: 32.0ms (27.9% of total)

ival-mult: 23.0ms (20% of total)

adjust: 13.0ms (11.3% of total)

ival-sub: 7.0ms (6.1% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series237.0ms (2.2%)

Memory

-0.7MiB live, 368.8MiB allocated

Counts

23 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
42.0ms	i	@	-inf	(/ (/ 1 (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) -4))
23.0ms	alpha	@	-inf	(/ (+ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (* (/ 1 (+ (* (+ i 1) 2) (+ alpha beta))) (+ alpha beta))) 1) 2)
8.0ms	beta	@	inf	(+ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (* (/ 1 (+ (* (+ i 1) 2) (+ alpha beta))) (+ alpha beta))) 1)
7.0ms	alpha	@	inf	(+ (* (/ (/ 1 (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) -4)) (/ (* (- beta alpha) (+ beta alpha)) (/ 1 (- (+ (* i 2) (+ beta alpha)) 2)))) 1)
3.0ms	beta	@	-inf	(/ (/ 1 (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) -4))

simplify379.0ms (3.5%)

Memory

25.4MiB live, 691.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 400×	`lower-+.f64`
5 400×	`lower-+.f32`
4 686×	`lower-*.f64`
4 686×	`lower-*.f32`
3 248×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3535	53874
0	8113	52278

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 702

Calls

Call 1

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

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

rewrite195.0ms (1.8%)

Memory

-5.4MiB live, 384.5MiB allocated

Rules

4 510×	`lower-*.f32`
4 502×	`lower-*.f64`
4 222×	`lower-fma.f32`
4 206×	`lower-fma.f64`
2 852×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	523
0	106	481
1	611	467
2	5890	467
0	8418	463

Stop Event

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

Counts

23 → 570

Calls

Call 1

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

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

eval509.0ms (4.7%)

Memory: -61.1MiB live, 576.8MiB allocated
Compiler: Compiled 107 385 to 6 773 computations (93.7% saved)

prune388.0ms (3.5%)

Memory

-37.3MiB live, 446.7MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 555	7	1 562
Fresh	1	18	19
Picked	3	2	5
Done	0	1	1
Total	1 559	28	1 587

Accuracy

100.0%

Counts

1 587 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.5%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.6%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 8 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.3%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 #s(approx (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	77.8%	(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	37.3%	(/.f64 (fma.f64 #s(approx (/ (/ 1 (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) -4)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))))) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #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))
	61.3%	(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	65.7%	(.f64 (fma.f64 #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	20.1%	#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 alpha #s(literal 2 binary64)))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	60.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
	40.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/2 binary64)))
	45.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	48.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	23.6%	#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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (-.f64 (.f64 beta beta) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64)))))) alpha))) alpha))
	25.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha))
	48.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1 binary64))))))
▶	69.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
▶	3.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
▶	45.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))))
	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
	3.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 beta beta)) (*.f64 i i))))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
	15.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
	8.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 beta alpha))))
	15.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))))
✓	30.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
✓	61.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 450 to 680 computations (53.1% saved)

simplify158.0ms (1.4%)

Memory

-0.3MiB live, 155.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
cost-diff	320	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64))))
cost-diff	0	(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha))
cost-diff	384	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64))

Rules

11 970×	`lower-fma.f32`
11 960×	`lower-fma.f64`
3 466×	`lower-*.f32`
3 446×	`lower-*.f64`
3 392×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	684
0	98	676
1	208	654
2	601	654
3	2219	654
4	5206	654
0	8281	646

Stop Event

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

Calls

Call 1

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

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

localize245.0ms (2.2%)

Memory

39.7MiB live, 234.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.845059560928982	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))))
accuracy	15.552087771891687	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy	21.574463593523458	(/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy	32.48852496268981	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
accuracy	0.01171875	(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))
accuracy	14.70339976864706	#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 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
accuracy	18.173650438477846	(/.f64 (.f64 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))
accuracy	0.01171875	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
accuracy	11.845059560928982	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
accuracy	16.961408331702412	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
accuracy	31.890489878082104	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64))))
accuracy	11.845059560928982	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
accuracy	16.961408331702412	(+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))
accuracy	44.487607036999684	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))
accuracy	0.18359375	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha))
accuracy	14.198535219908994	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) #s(literal 1 binary64))

Samples

56.0ms	120×	0	valid
54.0ms	84×	1	valid
50.0ms	52×	2	valid

Compiler

Compiled 590 to 52 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 40.0ms (32.2% of total)

ival-add: 35.0ms (28.2% of total)

ival-div: 25.0ms (20.1% of total)

adjust: 18.0ms (14.5% of total)

ival-sub: 6.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series180.0ms (1.6%)

Memory

-31.4MiB live, 131.9MiB allocated

Counts

25 → 684

Calls

Call 1

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

171 calls:

Time	Variable		Point	Expression
28.0ms	beta	@	0	(* 1/2 (* (- 1 (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (/ 1 (- 1 (/ (- beta alpha) (+ (+ alpha beta) 2))))))
17.0ms	beta	@	inf	(* (- 1 (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (/ 1 (- 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))))
3.0ms	beta	@	0	(* (- 1 (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (/ 1 (- 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))))
3.0ms	alpha	@	0	(* (- 1 (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (/ 1 (- 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))))
3.0ms	beta	@	-inf	(* (- 1 (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (/ 1 (- 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))))

simplify363.0ms (3.3%)

Memory

29.9MiB live, 338.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 774×	`lower-+.f64`
4 774×	`lower-+.f32`
4 752×	`lower-*.f64`
4 752×	`lower-*.f32`
3 110×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3094	49961
0	8119	48440

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

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

rewrite271.0ms (2.5%)

Memory

-8.7MiB live, 259.6MiB allocated

Rules

4 100×	`lower-*.f32`
4 080×	`lower-*.f64`
3 484×	`lower-/.f32`
3 468×	`lower-/.f64`
3 322×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	568
0	98	524
1	478	456
2	4588	456
0	8624	452

Stop Event

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

Counts

25 → 519

Calls

Call 1

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

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

eval243.0ms (2.2%)

Memory: 27.4MiB live, 492.0MiB allocated
Compiler: Compiled 81 919 to 5 209 computations (93.6% saved)

prune326.0ms (3%)

Memory

16.0MiB live, 542.7MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1 192	11	1 203
Fresh	8	12	20
Picked	5	0	5
Done	0	3	3
Total	1 205	26	1 231

Accuracy

100.0%

Counts

1 231 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.5%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.3%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 #s(approx (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/.f64 (neg.f64 alpha) (fma.f64 i #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.1%	(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 #s(approx (/ 1 (+ (* (+ i 1) 2) (+ alpha beta))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) i))))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	65.1%	(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(approx ( (/ 1 (+ (* (+ i 1) 2) (+ alpha beta))) (+ alpha beta)) (/.f64 alpha (+.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) i))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	65.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
	69.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	3.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	40.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/2 binary64)))
	47.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
	23.6%	#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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (-.f64 (.f64 beta beta) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64)))))) alpha))) alpha))
	25.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha))
	47.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) #s(literal 1/2 binary64))))
	50.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ beta (+ beta 2)) (.f64 #s(literal 1/2 binary64) beta))))))
	45.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))))
	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha))))
	55.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
	54.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (- 1 (/ (* (- beta alpha) (- beta alpha)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (/ 1 (- 1 (/ (- beta alpha) (+ (+ alpha beta) 2))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* beta beta) (* (+ (+ (* i 2) beta) 2) (+ (* i 2) beta)))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta)))))
	3.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 beta beta)) (*.f64 i i))))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
	15.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
	8.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 beta alpha))))
	15.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))))
✓	30.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
✓	61.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 774 to 540 computations (69.6% saved)

regimes197.0ms (1.8%)

Memory

-36.8MiB live, 202.7MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

76.0ms	(*.f64 #s(literal 2 binary64) i)
33.0ms	i
20.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
16.0ms	alpha
14.0ms	beta

Results

Accuracy	Segments	Branch
92.4%	2	`alpha`
77.8%	1	`beta`
77.8%	1	`i`
98.5%	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))`
98.5%	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))`
98.5%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
77.8%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes27.0ms (0.3%)

Memory

23.7MiB live, 60.9MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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))

8.0ms

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

8.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.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
96.6%	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))`
96.6%	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))`
96.6%	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 90 to 41 computations (54.4% saved)

regimes23.0ms (0.2%)

Memory

8.1MiB live, 47.1MiB 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ 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) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ beta (+ beta 2)) (.f64 #s(literal 1/2 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.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) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 beta beta)) (*.f64 i i))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* beta beta) (* (+ (+ (* i 2) beta) 2) (+ (* i 2) beta)))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (.f64 #s(literal 1/2 binary64) (+.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) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i 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 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

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

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 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.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
96.3%	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))`
96.3%	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))`
96.3%	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 90 to 41 computations (54.4% saved)

regimes30.0ms (0.3%)

Memory

1.1MiB live, 39.9MiB 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ 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) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ beta (+ beta 2)) (.f64 #s(literal 1/2 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.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) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 beta beta)) (*.f64 i i))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* beta beta) (* (+ (+ (* i 2) beta) 2) (+ (* i 2) beta)))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* i 2) beta)) (+ (* i 2) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (.f64 #s(literal 1/2 binary64) (+.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) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i 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 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))

Outputs

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

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

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

Calls

3 calls:

16.0ms

(/.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
96.3%	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))`
96.3%	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))`
96.3%	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 90 to 41 computations (54.4% saved)

regimes41.0ms (0.4%)

Memory

-6.4MiB live, 38.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

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

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 90 to 41 computations (54.4% saved)

regimes59.0ms (0.5%)

Memory

-15.0MiB live, 58.8MiB 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ 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) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ beta (+ beta 2)) (.f64 #s(literal 1/2 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.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) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (* i i))) 1/2) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 beta beta)) (*.f64 i i))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* beta beta) (* (+ (+ (* i 2) beta) 2) (+ (* i 2) beta)))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))

Outputs

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

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

Calls

4 calls:

39.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms	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 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
79.2%	2	`alpha`
89.2%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
89.2%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
89.2%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 94 to 44 computations (53.2% saved)

regimes15.0ms (0.1%)

Memory

3.4MiB live, 41.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
89.2%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
89.2%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
89.2%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes16.0ms (0.1%)

Memory

-7.3MiB live, 34.7MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

8.0ms

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

4.0ms

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

3.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.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
85.1%	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))`
85.1%	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))`
85.1%	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 90 to 41 computations (54.4% saved)

regimes11.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ 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) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ beta (+ beta 2)) (.f64 #s(literal 1/2 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (*.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64))))

Outputs

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

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

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
84.9%	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))`
84.9%	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))`
84.9%	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 90 to 41 computations (54.4% saved)

regimes11.0ms (0.1%)

Memory

-11.6MiB live, 26.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.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 alpha beta) (-.f64 beta alpha)) (+.f64 (+.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))

Results

Accuracy	Segments	Branch
84.2%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
84.2%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
84.2%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes18.0ms (0.2%)

Memory

13.2MiB live, 49.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

7 calls:

4.0ms	i
2.0ms	alpha
2.0ms	(*.f64 #s(literal 2 binary64) i)
2.0ms	beta
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
61.5%	1	`alpha`
71.4%	2	`beta`
61.5%	1	`i`
61.5%	1	`(*.f64 #s(literal 2 binary64) i)`
74.2%	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))`
74.2%	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))`
74.2%	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 108 to 55 computations (49.1% saved)

regimes7.0ms (0.1%)

Memory

-15.0MiB live, 24.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	beta
1.0ms	alpha
1.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
61.5%	1	`alpha`
61.5%	1	`beta`
61.5%	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))`
61.5%	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))`
61.5%	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 98 to 47 computations (52% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998217	-0.9984213044700223

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999801120708	0.9999999996604402
0.0ms	-0.9999999999998217	-0.9984213044700223

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999801120708	0.9999999996604402
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999801120708	0.9999999996604402
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.173737282032944e-5	0.9999999801120708
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.173737282032944e-5	0.9999999801120708
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.173737282032944e-5	0.9999999801120708
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.173737282032944e-5	0.9999999801120708
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.173737282032944e-5	0.9999999801120708
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.173737282032944e-5	0.9999999801120708
0.0ms	-0.9984213044700223	-0.001965204736422261

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch14.0ms (0.1%)

Memory

-6.3MiB live, 37.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.173737282032944e-5	0.9999999801120708

Samples

5.0ms

144×

valid

Compiler

Compiled 143 to 112 computations (21.7% saved)

Precisions

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

ival-div: 1.0ms (55.3% of total)

ival-add: 1.0ms (55.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Memory

-3.1MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
24×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1890
1	148	1890
2	155	1890
3	159	1890
4	161	1890

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 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 1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 9007199164668999/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 9007199164668999/9007199254740992 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 beta beta) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) 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 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (+.f64 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 (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) 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 5902958103587057/295147905179352825856 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(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/295147905179352825856 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 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 -8998192055486251/9007199254740992 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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 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 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #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 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 1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
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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) #s(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) 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 5902958103587057/295147905179352825856 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(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) (.f64 (/.f64 (-.f64 #s(approx (- (neg beta) 2) #s(literal -2 binary64)) beta) alpha) #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 5902958103587057/295147905179352825856 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(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5902958103587057/295147905179352825856 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(approx (* 1/2 (+ 1 (/ (- beta alpha) (+ (+ alpha beta) 2)))) #s(approx (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 5902958103587057/295147905179352825856 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))

soundness1.0s (9.3%)

Memory

32.7MiB live, 1 066.0MiB allocated

Rules

6 202×	`lower-*.f64`
6 202×	`lower-*.f32`
6 196×	`lower-*.f64`
6 196×	`lower-*.f32`
6 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	568
0	98	524
1	478	456
2	4588	456
0	8624	452
0	3535	53874
0	8113	52278
0	2018	37008
1	6775	36882
0	8329	33404
0	15	106
0	25	106
1	125	106
2	1197	106
0	8707	96
0	933	12962
1	3169	11337
0	8840	10203

Stop Event

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

Compiler

Compiled 1 391 to 464 computations (66.6% saved)

preprocess100.0ms (0.9%)

Memory: 16.0MiB live, 198.9MiB allocated
Compiler: Compiled 1 786 to 196 computations (89% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze49.0ms (0.4%)

sample1.9s (17%)

explain403.0ms (3.7%)

preprocess244.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify165.0ms (1.5%)

localize101.0ms (0.9%)

series52.0ms (0.5%)

simplify208.0ms (1.9%)

rewrite192.0ms (1.8%)

eval127.0ms (1.2%)

prune119.0ms (1.1%)

simplify180.0ms (1.6%)

localize395.0ms (3.6%)

series179.0ms (1.6%)

simplify355.0ms (3.2%)

rewrite325.0ms (3%)

eval233.0ms (2.1%)

prune271.0ms (2.5%)

simplify138.0ms (1.3%)

localize229.0ms (2.1%)

series237.0ms (2.2%)

simplify379.0ms (3.5%)

rewrite195.0ms (1.8%)

eval509.0ms (4.7%)

prune388.0ms (3.5%)

simplify158.0ms (1.4%)

localize245.0ms (2.2%)

series180.0ms (1.6%)

simplify363.0ms (3.3%)

rewrite271.0ms (2.5%)

eval243.0ms (2.2%)

prune326.0ms (3%)

regimes197.0ms (1.8%)

regimes27.0ms (0.3%)

regimes23.0ms (0.2%)

regimes30.0ms (0.3%)

regimes41.0ms (0.4%)

regimes59.0ms (0.5%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify19.0ms (0.2%)

soundness1.0s (9.3%)

preprocess100.0ms (0.9%)

end0.0ms (0%)

Profiling