Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (0.3%)

Memory

-10.0MiB live, 103.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample1.9s (12.9%)

Memory

25.8MiB live, 2 440.1MiB allocated

Samples

857.0ms	6 593×	0	valid
336.0ms	1 227×	1	valid
151.0ms	436×	2	valid

Precisions

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

ival-add: 328.0ms (30.8% of total)

ival->: 229.0ms (21.5% of total)

ival-div: 215.0ms (20.2% of total)

ival-mult: 117.0ms (11% of total)

adjust: 89.0ms (8.4% of total)

ival-sub: 52.0ms (4.9% of total)

exact: 16.0ms (1.5% of total)

ival-and: 15.0ms (1.4% of total)

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

Bogosity

explain269.0ms (1.8%)

Memory

-24.3MiB live, 352.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
89	-	2	(3.0045291341060584e-157 2.634024915374677e-298 1.4751497903752856e-77)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
61	-	0	-	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`alpha`
0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`(-.f64 beta alpha)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	77	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	77
`+.f64`	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	61	0

Confusion

	Predicted +	Predicted -
+	100	0
-	0	156

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	0	0	156

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	156
1	62
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	392×	0	valid
47.0ms	40×	2	valid
16.0ms	80×	1	valid

Compiler

Compiled 302 to 49 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 30.0ms (33.1% of total)

ival-add: 26.0ms (28.7% of total)

adjust: 24.0ms (26.5% of total)

ival-mult: 7.0ms (7.7% of total)

ival-sub: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess343.0ms (2.3%)

Memory

26.5MiB live, 450.0MiB 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 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 32 to 15 computations (53.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Status

Accuracy

Program

▶

62.3%

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

simplify595.0ms (4.1%)

Memory

36.4MiB live, 422.9MiB 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 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 alpha beta)))) #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 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 alpha beta)))) #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 (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.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 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(*.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 alpha (fma.f64 #s(literal 2 binary64) i beta))
(*.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))
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
#s(literal 1 binary64)

localize55.0ms (0.4%)

Memory

-6.8MiB live, 112.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
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	14.208383450488165	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	20.488366632882634	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

23.0ms	196×	0	valid
9.0ms	40×	1	valid
6.0ms	20×	2	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 12.0ms (46.6% of total)

ival-div: 6.0ms (23.3% of total)

adjust: 3.0ms (11.6% of total)

ival-mult: 3.0ms (11.6% of total)

ival-sub: 2.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.5%)

Memory

-1.7MiB live, 114.8MiB allocated

Counts

6 → 204

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 (+.f64 alpha beta) (-.f64 beta alpha)) (patch (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #<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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#s(alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (patch (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (patch (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	i	@	-inf	(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1)
3.0ms	alpha	@	-inf	(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2))
3.0ms	alpha	@	inf	(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
2.0ms	i	@	inf	(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
2.0ms	alpha	@	0	(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2))

simplify444.0ms (3%)

Memory

-34.9MiB live, 500.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

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

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

rewrite339.0ms (2.3%)

Memory

20.2MiB live, 497.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 364

Calls

Call 1

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

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

eval169.0ms (1.2%)

Memory: 5.4MiB live, 197.2MiB allocated
Compiler: Compiled 34 159 to 2 815 computations (91.8% saved)

prune160.0ms (1.1%)

Memory

-30.0MiB live, 235.0MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	621	17	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	622	17	639

Accuracy

100.0%

Counts

639 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	41.8%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.1%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (fma.f64 #s(literal 8 binary64) (.f64 i (.f64 i i)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.9%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 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))
▶	46.9%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	67.7%	(.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	57.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	19.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (.f64 alpha (.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (.f64 alpha alpha)))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (*.f64 alpha alpha))) alpha))
	19.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.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 (-.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 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha)) (neg.f64 alpha)))
▶	26.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
▶	23.5%	#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 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))
	64.7%	#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 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
	26.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal -1/2 binary64)))
	30.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	60.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 988 to 598 computations (69.9% saved)

simplify333.0ms (2.3%)

Memory

9.7MiB live, 387.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
cost-diff	128	(+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))
cost-diff	704	(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) #s(literal 2 binary64))
cost-diff	6848	(.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))
cost-diff	128	(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
cost-diff	320	(-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)))
cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
cost-diff	128	(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
cost-diff	512	(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	384	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))

Rules

10 102×	`lower-fma.f32`
10 090×	`lower-fma.f64`
4 816×	`lower-+.f32`
4 802×	`lower-+.f64`
3 100×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1011
0	98	1005
1	218	998
2	854	995
3	3358	888
4	7752	888
0	8622	849

Stop Event

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

Calls

Call 1

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

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

localize410.0ms (2.8%)

Memory

15.8MiB live, 524.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	11.345495763521214	(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))
accuracy	18.442463312175864	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
accuracy	25.437630464237504	(+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))
accuracy	33.78914020845708	(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
accuracy	3.0856150494088883	(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)
accuracy	8.828052754057206	(-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))
accuracy	21.529392053846596	(fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
accuracy	48.44518831101123	#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 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))
accuracy	0	(*.f64 i #s(literal 4 binary64))
accuracy	0.00390625	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
accuracy	0.00390625	(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
accuracy	47.30156445153127	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
accuracy	25.300275110700532	#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 alpha beta)
accuracy	0.015625	(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	14.212909851742177	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))

Samples

155.0ms	73×	1	valid
71.0ms	149×	0	valid
63.0ms	34×	2	valid

Compiler

Compiled 1 047 to 58 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-div: 96.0ms (38.4% of total)

adjust: 90.0ms (36% of total)

ival-mult: 32.0ms (12.8% of total)

ival-add: 26.0ms (10.4% of total)

ival-sub: 6.0ms (2.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series328.0ms (2.2%)

Memory

30.3MiB live, 591.0MiB allocated

Counts

23 → 732

Calls

Call 1

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

183 calls:

Time	Variable		Point	Expression
15.0ms	beta	@	0	(* (+ (/ (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1) (/ 1 (+ (* (+ alpha beta) (/ (- beta alpha) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1)))
14.0ms	alpha	@	0	(* (+ (/ (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1) (/ 1 (+ (* (+ alpha beta) (/ (- beta alpha) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1)))
13.0ms	beta	@	inf	(* (+ (/ (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1) (/ 1 (+ (* (+ alpha beta) (/ (- beta alpha) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1)))
11.0ms	alpha	@	inf	(+ (/ (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) -1)
10.0ms	i	@	-inf	(/ (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))))

simplify811.0ms (5.6%)

Memory

-17.4MiB live, 1 100.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 292×	`lower-+.f64`
5 292×	`lower-+.f32`
4 686×	`lower-*.f64`
4 686×	`lower-*.f32`
3 300×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3144	94488
0	8049	91086

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 721

Calls

Call 1

Inputs
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (+ (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (+ (* alpha (- (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) 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 (/ (+ (* -1/16 (* (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))))) (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))))) (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2))))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (pow (- beta alpha) 2)))))) (pow i 3))) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (+ (* -1/4096 (/ (* (pow (+ alpha beta) 2) (* (pow (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) 2) (pow (- beta alpha) 2))) (pow i 2))) (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))) (pow i 2))) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2))) i))))) (pow i 4))
(* 1/16 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) (pow i 4)))
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(/ (+ (* -1 (/ (- (+ (* -1/4096 (/ (* (pow (+ alpha beta) 2) (* (pow (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) 2) (pow (- beta alpha) 2))) i)) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))) i))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (pow (- beta alpha) 2))))) i)) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (pow i 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)))))) i)) (+ (* -1/4096 (/ (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)))) i)) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* -4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* -4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (pow (- beta alpha) 2))) i)))) (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)))))) i)) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (pow (- beta alpha) 2))))) i)) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (pow i 4))
(/ beta (+ 2 (+ beta (* 2 i))))
(+ (* alpha (- (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
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(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 (+ beta (* 2 i))) 3)) (/ beta (pow (+ 2 (+ beta (* 2 i))) 4)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 3))) (/ 1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ 1 (+ 2 (+ beta (* 2 i))))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 i)) alpha)))
(- (+ 1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ beta (* 2 i)))) (pow alpha 2))) (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (* (+ 2 (* 2 i)) (pow (+ 2 (+ beta (* 2 i))) 2)) (pow alpha 3)))) (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ beta (* 2 i)))) (pow alpha 2))) (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha)))))
1
(+ 1 (* -1 (/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
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(/ alpha (+ 2 (+ alpha (* 2 i))))
(+ (* beta (- (/ 1 (+ 2 (+ alpha (* 2 i)))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
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(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 3)) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 4)))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
1
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(- (+ 1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ alpha (* 2 i)))) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))
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1
(+ 1 (* -1 (/ (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
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(/ (+ 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
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))
(+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow (+ 2 (* 4 i)) 2)))
(+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (+ (* 3 beta) (* 4 (+ 2 (* 4 i)))))) (pow (+ 2 (* 4 i)) 2)))
(+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (+ (* 3 beta) (* 4 (+ 2 (* 4 i)))))) (pow (+ 2 (* 4 i)) 2)))
(* 3 (pow beta 2))
(* (pow beta 2) (+ 3 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta)))))
(* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))
(* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))
(* 3 (pow beta 2))
(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) beta))))
(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))
(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))
(+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))
(+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow (+ 2 (* 2 beta)) 2)))
(+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 8 (+ 2 (* 2 beta))) (* 12 i)))) (pow (+ 2 (* 2 beta)) 2)))
(+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 8 (+ 2 (* 2 beta))) (* 12 i)))) (pow (+ 2 (* 2 beta)) 2)))
(* 12 (pow i 2))
(* (pow i 2) (+ 12 (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (* 8 (/ (+ 2 (* 2 beta)) i)))))
(* (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) (+ 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) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))))
(* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)) i)) (+ (* 2 beta) (* 2 (+ 2 beta))))) i))))
(* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)) i)) (+ (* 2 beta) (* 2 (+ 2 beta))))) i))))
(* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha))
(+ (* -1 (/ (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) alpha)) (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)))
(+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))
(+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))
(* -2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta))) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* (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 (/ 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))
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(- (* 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 (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3)))))
-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)

Outputs
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))
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2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 alpha beta))) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))
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2
#s(literal 2 binary64)
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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 (/ (+ (* (+ 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 (/ (- (+ 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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(* (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)))
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(* (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)))
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(* -1 (/ (pow beta 2) alpha))
(neg.f64 (/.f64 (*.f64 beta beta) alpha))
(* (pow beta 2) (- (* 1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (/ 1 alpha)))
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(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
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(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
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(* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))
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(+ (* 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)))))
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(+ (* 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))))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 beta beta) alpha))) (neg.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)) (.f64 i (fma.f64 #s(literal -6 binary64) (/.f64 i alpha) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 4 binary64) (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) 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))))))))
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(* -6 (/ (pow i 2) alpha))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) alpha)
(* (pow i 2) (- (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 6 (/ 1 alpha))))
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(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
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(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
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(* -6 (/ (pow i 2) alpha))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) alpha)
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 6 (/ 1 alpha))))
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(* (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))))
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(* (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))))
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(* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))))) 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)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))))) 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)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))))) 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)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))))) alpha)
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) 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)))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) 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)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) 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)))
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(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
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(* -1 (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
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(- (* beta (- (* -2 beta) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
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(- (* beta (- (* -2 beta) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
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(* -2 (pow beta 2))
(.f64 #s(literal -2 binary64) (.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) beta)) 2))
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(* (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))))))
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(* (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))))))
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(* -2 (pow beta 2))
(.f64 #s(literal -2 binary64) (.f64 beta beta))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))) 2))
(.f64 (.f64 beta beta) (+.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)))
(* (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))
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(* (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))
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(- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(-.f64 (.f64 beta beta) (fma.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))
(- (+ (* -1 (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))))) (pow beta 2)) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
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(- (+ (* 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)))
(fma.f64 i (-.f64 (.f64 #s(literal -12 binary64) i) (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta))))) (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
(- (+ (* 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)))
(fma.f64 i (-.f64 (.f64 #s(literal -12 binary64) i) (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta))))) (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
(* -12 (pow i 2))
(.f64 #s(literal -12 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) 12))
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(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
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(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
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(* -12 (pow i 2))
(.f64 #s(literal -12 binary64) (.f64 i i))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) i)) (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))) 12))
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(* (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))
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(* (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))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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(/ (+ (* -1/2 (/ (+ (* (+ 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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(* 1/4 (/ (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i))))) alpha))
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(* alpha (+ 1 (/ beta alpha)))
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beta
(* beta (+ 1 (/ alpha beta)))
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(* beta (+ 1 (/ alpha beta)))
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beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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(* 4 i)
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(* 3 (pow beta 2))
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(* (pow beta 2) (+ 3 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta)))))
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(* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))
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(* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))
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(* 3 (pow beta 2))
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(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) beta))))
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(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))
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(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))
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(+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))
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(* 12 (pow i 2))
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(* (pow i 2) (+ 12 (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (* 8 (/ (+ 2 (* 2 beta)) i)))))
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(* (pow i 2) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))))))
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(* (pow i 2) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))))))
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(* 12 (pow i 2))
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(+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))
(+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) i) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))) alpha)) (.f64 beta (fma.f64 #s(literal -2 binary64) (/.f64 beta alpha) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #s(literal 3 binary64)) alpha)))))
(* -2 (/ (pow beta 2) alpha))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 beta beta)) alpha)
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta))) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (-.f64 (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #s(literal 3 binary64)) (*.f64 alpha beta))) (/.f64 #s(literal 2 binary64) alpha)))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))
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(* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))
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(* -2 (/ (pow beta 2) alpha))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 beta beta)) alpha)
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (* 2 (/ 1 (* alpha beta))))) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 alpha beta)) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i (.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha beta))) (/.f64 #s(literal 2 binary64) 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))))
(.f64 (.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))) (.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 #s(literal 4 binary64) i))) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) (*.f64 alpha beta))) beta)) (/.f64 #s(literal 2 binary64) 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))))
(.f64 (.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))) (.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 #s(literal 4 binary64) i))) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) (*.f64 alpha beta))) beta)) (/.f64 #s(literal 2 binary64) alpha)))
(/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) 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)))
(+.f64 (/.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta)))))) alpha) (-.f64 (-.f64 (/.f64 (.f64 beta beta) alpha) (neg.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) 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)))
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(- (+ (* 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)))
(fma.f64 i (fma.f64 #s(literal -12 binary64) (/.f64 i alpha) (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta)))) alpha))) (-.f64 (-.f64 (/.f64 (.f64 beta beta) alpha) (neg.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)))
(* -12 (/ (pow i 2) alpha))
(/.f64 (.f64 #s(literal -12 binary64) (.f64 i i)) alpha)
(* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (* 12 (/ 1 alpha))))
(.f64 (.f64 i i) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta)))) (.f64 alpha i))) (/.f64 #s(literal 12 binary64) 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)))))))
(.f64 (.f64 i i) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta)))) (.f64 alpha i))) (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha (.f64 i i))) (+.f64 (/.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (.f64 i i))) (+.f64 (/.f64 #s(literal 12 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha (*.f64 i i))))))))
(* (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)))))))
(.f64 (.f64 i i) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) beta)))) (.f64 alpha i))) (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha (.f64 i i))) (+.f64 (/.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (.f64 i i))) (+.f64 (/.f64 #s(literal 12 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha (*.f64 i i))))))))
(* -12 (/ (pow i 2) alpha))
(/.f64 (.f64 #s(literal -12 binary64) (.f64 i i)) alpha)
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 2 (/ beta (* alpha i))) (* 2 (/ (+ 2 beta) (* alpha i))))) (* 12 (/ 1 alpha))))
(.f64 (.f64 i i) (-.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 alpha i)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (.f64 alpha i)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha i))))) (/.f64 #s(literal 12 binary64) 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))))
(.f64 (.f64 i i) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 beta beta) alpha) (neg.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)) i))) i)) (/.f64 #s(literal 12 binary64) 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))))
(.f64 (.f64 i i) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 beta beta) alpha) (neg.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)) i))) i)) (/.f64 #s(literal 12 binary64) alpha)))
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) alpha)
(* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(/.f64 (neg.f64 alpha) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (*.f64 #s(literal 2 binary64) 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)))))))
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(/.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)
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(* -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)))
(/.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 (.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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(fma.f64 i (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (/.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)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))
(fma.f64 i (-.f64 (.f64 i (-.f64 (neg.f64 (.f64 i (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (neg.f64 (/.f64 (.f64 (+.f64 (neg.f64 (/.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)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.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 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (+.f64 (neg.f64 (/.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)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))) 1)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal -1 binary64))
(- (+ (* -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)
(fma.f64 #s(literal -1/16 binary64) (/.f64 (.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))) (.f64 i (.f64 i i))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)) #s(literal -1 binary64)))
(- (+ (* -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 (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3)))))
(+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.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 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (-.f64 beta alpha)))) (pow.f64 i #s(literal 4 binary64)))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (.f64 i i)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.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)))) (.f64 i (.f64 i i))))))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))) 1)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal -1 binary64))
(- (+ (* 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)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.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))) (.f64 i (.f64 i i))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)) #s(literal -1 binary64)))
(- (+ (* -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)
(+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.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 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (-.f64 beta alpha))) i) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))))) (.f64 i (.f64 i i)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)) #s(literal -1 binary64)))

rewrite374.0ms (2.6%)

Memory

8.7MiB live, 644.1MiB allocated

Rules

5 924×	`lower-fma.f32`
5 912×	`lower-fma.f64`
5 686×	`lower-*.f32`
5 666×	`lower-*.f64`
3 052×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	693
0	98	510
1	527	506
2	5644	506
0	8921	490

Stop Event

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

Counts

23 → 867

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))))
(+.f64 (.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
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eval496.0ms (3.4%)

Memory: 8.3MiB live, 744.5MiB allocated
Compiler: Compiled 209 436 to 8 175 computations (96.1% saved)

prune575.0ms (3.9%)

Memory

10.6MiB live, 604.9MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	2 007	13	2 020
Fresh	2	10	12
Picked	4	1	5
Done	0	0	0
Total	2 013	24	2 037

Accuracy

100.0%

Counts

2 037 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.8%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.0%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.4%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) i)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	76.6%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	64.1%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	41.8%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	49.4%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
	46.9%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 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))
	50.0%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	46.6%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) #s(approx (/ (- beta alpha) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 (neg.f64 alpha) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	57.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	19.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (.f64 alpha (.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (.f64 alpha alpha)))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (*.f64 alpha alpha))) alpha))
	19.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.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 (-.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 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha)) (neg.f64 alpha)))
	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 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 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) #s(approx (+ ( (+ 2 (+ (* beta 2) (* i 4))) (+ 2 (+ (* beta 2) (* i 4)))) (* (+ (* 2 i) beta) (- -2 (+ (* 2 i) beta)))) (fma.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) alpha))) alpha))
	9.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
▶	64.7%	#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 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
	26.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal -1/2 binary64)))
	64.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
	7.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
▶	30.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	60.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 2 513 to 816 computations (67.5% saved)

simplify260.0ms (1.8%)

Memory

21.9MiB live, 336.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5 970×	`lower-fma.f32`
5 956×	`lower-fma.f64`
5 164×	`lower-*.f32`
5 148×	`lower-*.f64`
3 090×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	769
0	102	755
1	227	755
2	645	755
3	5491	755
4	6887	755
0	8116	751

Stop Event

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

Calls

Call 1

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

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

localize352.0ms (2.4%)

Memory

-34.9MiB live, 351.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	11.345495763521214	(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))
accuracy	18.442463312175864	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
accuracy	25.623647243085564	(fma.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))) #s(literal -1 binary64))
accuracy	31.90864371352881	(/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
accuracy	0.0078125	(/.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	14.212909851742177	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64))
accuracy	27.349175107577747	#s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	11.880714181542373	#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 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
accuracy	19.112989614922054	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
accuracy	44.29823743033895	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	14.212909851742177	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64))
accuracy	26.659882219361688	#s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) i))))

Samples

118.0ms	42×	2	valid
81.0ms	129×	0	valid
63.0ms	85×	1	valid

Compiler

Compiled 754 to 57 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-div: 66.0ms (33.2% of total)

ival-add: 55.0ms (27.7% of total)

ival-mult: 52.0ms (26.1% of total)

adjust: 22.0ms (11.1% of total)

ival-sub: 3.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series206.0ms (1.4%)

Memory

-6.2MiB live, 69.0MiB allocated

Counts

22 → 684

Calls

Call 1

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

Outputs
#s(alt (+ 2 (* 2 i)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt beta (taylor inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))) (taylor inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))) (taylor inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))) (taylor inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt beta (taylor -inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 2 i)) beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 2 i)) beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 2 i)) beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 beta) (taylor 0 i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ beta (* 2 i))) (taylor 0 i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ beta (* 2 i))) (taylor 0 i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ beta (* 2 i))) (taylor 0 i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 2 (+ (* 2 (/ 1 i)) (/ beta i)))) (taylor inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 2 (+ (* 2 (/ 1 i)) (/ beta i)))) (taylor inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 2 (+ (* 2 (/ 1 i)) (/ beta i)))) (taylor inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1 (/ (+ 2 beta) i)) 2))) (taylor -inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1 (/ (+ 2 beta) i)) 2))) (taylor -inf i) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -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 (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))) (taylor inf i) (#s(alt (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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Calls

171 calls:

Time	Variable		Point	Expression
41.0ms	beta	@	0	(/ (* (- beta alpha) (* (- beta alpha) (+ beta alpha))) (* (+ beta (+ (* 2 i) alpha)) (* (+ beta (+ alpha (+ (* 2 i) 2))) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))))
19.0ms	beta	@	-inf	(/ (+ (* (+ beta alpha) (/ (* (- beta alpha) (* (- beta alpha) (+ beta alpha))) (* (+ beta (+ (* 2 i) alpha)) (* (+ beta (+ alpha (+ (* 2 i) 2))) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))))) -1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))
4.0ms	alpha	@	0	(/ (+ (* (+ beta alpha) (/ (* (- beta alpha) (* (- beta alpha) (+ beta alpha))) (* (+ beta (+ (* 2 i) alpha)) (* (+ beta (+ alpha (+ (* 2 i) 2))) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))))) -1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))
4.0ms	beta	@	0	(/ (+ (* (+ beta alpha) (/ (* (- beta alpha) (* (- beta alpha) (+ beta alpha))) (* (+ beta (+ (* 2 i) alpha)) (* (+ beta (+ alpha (+ (* 2 i) 2))) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))))) -1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))
2.0ms	beta	@	inf	(/ (+ (* (+ beta alpha) (/ (* (- beta alpha) (* (- beta alpha) (+ beta alpha))) (* (+ beta (+ (* 2 i) alpha)) (* (+ beta (+ alpha (+ (* 2 i) 2))) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))))) -1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))

simplify818.0ms (5.6%)

Memory

32.5MiB live, 696.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 936×	`lower-+.f64`
4 936×	`lower-+.f32`
4 756×	`lower-*.f64`
4 756×	`lower-*.f32`
3 148×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3093	73623
0	8159	71118

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 674

Calls

Call 1

Inputs
(+ 2 (* 2 i))
(+ 2 (+ beta (* 2 i)))
(+ 2 (+ beta (* 2 i)))
(+ 2 (+ beta (* 2 i)))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 2 i)) beta)) 1)))
(+ 2 beta)
(+ 2 (+ beta (* 2 i)))
(+ 2 (+ beta (* 2 i)))
(+ 2 (+ beta (* 2 i)))
(* 2 i)
(* i (+ 2 (+ (* 2 (/ 1 i)) (/ beta i))))
(* i (+ 2 (+ (* 2 (/ 1 i)) (/ beta i))))
(* i (+ 2 (+ (* 2 (/ 1 i)) (/ beta i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ 2 beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ 2 beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ 2 beta) i)) 2)))
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
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(- (* 1/16 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) (pow i 4))) 1)
(- (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (pow (- beta alpha) 2))) (pow i 5))) (* 1/16 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) (pow i 4)))) 1)
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alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
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(/ 1 beta)
(/ (- (+ 1 (+ (* -2 (/ alpha beta)) (/ alpha beta))) (+ (* 4 (/ alpha beta)) (+ (* 8 (/ i beta)) (* 4 (/ 1 beta))))) beta)
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(/ 1 beta)
(* -1 (/ (- (* -1 (/ (- (+ alpha (* -2 alpha)) (* -1 (+ (* -2 (+ 2 (+ alpha (* 2 i)))) (* -2 (+ alpha (* 2 i)))))) beta)) 1) beta))
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(/ (pow beta 3) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))
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(/ 1 alpha)
(/ (- (+ 1 (+ (* -2 (/ beta alpha)) (/ beta alpha))) (+ (* 4 (/ beta alpha)) (+ (* 8 (/ i alpha)) (* 4 (/ 1 alpha))))) alpha)
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(/ 1 alpha)
(* -1 (/ (- (* -1 (/ (- (+ beta (* -2 beta)) (* -1 (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) alpha)) 1) alpha))
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(/ (pow (- beta alpha) 2) (* (pow (+ 2 (+ alpha beta)) 2) (+ 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) 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)))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))
-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 (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3)))))
-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)

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

rewrite328.0ms (2.3%)

Memory

-8.2MiB live, 550.3MiB allocated

Rules

4 336×	`lower-*.f32`
4 320×	`lower-*.f64`
3 654×	`lower-/.f32`
3 636×	`lower-/.f64`
2 828×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	539
0	102	478
1	593	441
2	6331	441
0	8024	436

Stop Event

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

Counts

22 → 551

Calls

Call 1

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

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

eval283.0ms (1.9%)

Memory: 30.4MiB live, 533.1MiB allocated
Compiler: Compiled 139 696 to 5 866 computations (95.8% saved)

prune235.0ms (1.6%)

Memory

0.2MiB live, 518.6MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 436	11	1 447
Fresh	6	12	18
Picked	4	1	5
Done	0	1	1
Total	1 446	25	1 471

Accuracy

100.0%

Counts

1 471 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.8%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.0%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	48.9%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1) (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)))))
▶	47.1%	(/.f64 (-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
	50.0%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	46.6%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) #s(approx (/ (- beta alpha) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 (neg.f64 alpha) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	10.8%	(/.f64 #s(approx (+ (* (+ beta alpha) (/ (* (- beta alpha) (* (- beta alpha) (+ beta alpha))) (* (+ beta (+ (* 2 i) alpha)) (* (+ beta (+ alpha (+ (* 2 i) 2))) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))))) -1) (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 beta beta) (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 beta (.f64 beta beta)) (neg.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (.f64 beta (.f64 beta beta)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) (fma.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))) alpha))) (.f64 #s(literal 2 binary64) (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) alpha))) (.f64 #s(literal 2 binary64) (.f64 beta beta))) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) alpha))) (.f64 #s(literal 2 binary64) beta)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) alpha))) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
▶	76.6%	(.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶	63.9%	(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	64.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	57.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	64.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	19.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (.f64 alpha (.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (.f64 alpha alpha)))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (*.f64 alpha alpha))) alpha))
	19.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.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 (-.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 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha)) (neg.f64 alpha)))
▶	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha))
	9.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
	70.6%	#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 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
	52.1%	#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 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))
▶	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) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
	26.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal -1/2 binary64)))
	7.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
	17.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) alpha) (.f64 #s(literal 1/2 binary64) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha)))
✓	30.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	60.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 3 952 to 928 computations (76.5% saved)

simplify210.0ms (1.4%)

Memory

13.1MiB live, 337.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4 702×	`lower-/.f32`
4 686×	`lower-/.f64`
4 408×	`lower-fma.f32`
4 396×	`lower-fma.f64`
3 080×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	867
0	113	863
1	262	863
2	910	863
3	3183	863
4	5983	863
0	8186	846

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (2%)

Memory

5.2MiB live, 522.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	11.345495763521214	(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))
accuracy	18.442463312175864	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
accuracy	25.437630464237504	(-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64))
accuracy	33.78914020845708	(/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))
accuracy	0.0078125	(/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
accuracy	0.0703125	(/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))
accuracy	14.349294545881182	(fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64))
accuracy	27.349175107577747	#s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))))
accuracy	0	(*.f64 #s(literal 4 binary64) i)
accuracy	0.00390625	(/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha)
accuracy	14.446337136929253	#s(approx (+ 2 (+ (* beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)))
accuracy	47.30156445153127	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha))
accuracy	11.880714181542373	#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 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
accuracy	19.112989614922054	(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))
accuracy	42.2707286977035	#s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))
accuracy	0	(.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))
accuracy	14.212909851742177	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
accuracy	26.659882219361688	#s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))

Samples

82.0ms	86×	1	valid
58.0ms	42×	2	valid
55.0ms	128×	0	valid

Compiler

Compiled 813 to 69 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 45.0ms (29.3% of total)

ival-add: 42.0ms (27.4% of total)

ival-div: 33.0ms (21.5% of total)

adjust: 27.0ms (17.6% of total)

ival-sub: 5.0ms (3.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series127.0ms (0.9%)

Memory

-9.3MiB live, 226.0MiB allocated

Counts

25 → 768

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (patch (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #<representation binary64>) () ())
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))) (patch (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)) (patch #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (patch (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha)) (patch #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha) (patch (/.f64 (.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) alpha) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (patch (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) (patch (/.f64 (-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (taylor 0 beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))) (taylor inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))) (taylor inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))) (taylor inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta))) (taylor -inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta))) (taylor -inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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))) (taylor -inf beta) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -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 (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))) (taylor inf i) (#s(alt (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf i) (#s(alt (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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Calls

192 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	0	(/ (- (/ (* (+ beta alpha) (* (- beta alpha) (* (- beta alpha) (+ beta alpha)))) (* (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))))) 1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))
4.0ms	alpha	@	0	(/ (- (/ (* (+ beta alpha) (* (- beta alpha) (* (- beta alpha) (+ beta alpha)))) (* (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))))) 1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))
4.0ms	beta	@	-inf	(/ (- (/ (* (+ beta alpha) (* (- beta alpha) (* (- beta alpha) (+ beta alpha)))) (* (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))))) 1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))
3.0ms	alpha	@	inf	(* (+ (* (/ (- beta alpha) (+ beta (+ (* 2 i) alpha))) (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2))))) 1) 1/2)
2.0ms	beta	@	inf	(/ (- (/ (* (+ beta alpha) (* (- beta alpha) (* (- beta alpha) (+ beta alpha)))) (* (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))))) 1) (* 2 (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1)))

simplify756.0ms (5.2%)

Memory

-113.5MiB live, 872.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 086×	`lower-+.f64`
5 086×	`lower-+.f32`
5 056×	`lower-*.f64`
5 056×	`lower-*.f32`
3 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3191	77125
0	8164	74450

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 763

Calls

Call 1

Inputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* 1/2 (- (+ 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)))))
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(* -1 alpha)
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beta
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1
(- (+ 1 (+ (* -2 (/ beta alpha)) (* 2 (/ beta alpha)))) (+ (* 4 (/ beta alpha)) (+ (* 8 (/ i alpha)) (* 4 (/ 1 alpha)))))
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1
(+ 1 (* -1 (/ (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i))))) alpha)))
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(/ (pow (- beta alpha) 2) (pow (+ 2 (+ alpha beta)) 2))
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(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) 2) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 6) (pow (+ alpha beta) 4)))) (/ (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 4) (pow (+ alpha beta) 2)))))) (/ (* (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 4) (pow (+ alpha beta) 2))))) (/ (pow (- beta alpha) 2) (pow (+ 2 (+ alpha beta)) 2)))
(+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) 2) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 6) (pow (+ alpha beta) 4)))) (/ (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 4) (pow (+ alpha beta) 2)))) (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2)))) (+ (* -1 (/ (* (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))) (* (pow (+ 2 (+ alpha beta)) 6) (pow (+ alpha beta) 4)))) (/ (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 4) (pow (+ alpha beta) 2))))))) (+ (* -1 (/ (* (pow (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) 2) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 6) (pow (+ alpha beta) 4)))) (/ (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 4) (pow (+ alpha beta) 2)))))) (/ (* (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (pow (- beta alpha) 2)) (* (pow (+ 2 (+ alpha beta)) 4) (pow (+ alpha beta) 2))))) (/ (pow (- beta alpha) 2) (pow (+ 2 (+ alpha beta)) 2)))
(* 1/16 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) (pow i 4)))
(/ (+ (* -1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2))) i)) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (pow i 4))
(/ (- (+ (* -1 (/ (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))))) (pow i 2))) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2))) i))) (pow i 4))
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))))) (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))))) (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2))))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* 4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (pow (- beta alpha) 2)))))) (pow i 3))) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (+ (* -1/4096 (/ (* (pow (+ alpha beta) 2) (* (pow (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) 2) (pow (- beta alpha) 2))) (pow i 2))) (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))) (pow i 2))) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 16 (+ 2 (+ alpha beta))) (* 16 (+ alpha beta))) (pow (- beta alpha) 2))) i))))) (pow i 4))
(* 1/16 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) (pow i 4)))
(/ (+ (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (pow (- beta alpha) 2))) i)) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (pow i 4))
(/ (+ (* -1 (/ (- (+ (* -1/4096 (/ (* (pow (+ alpha beta) 2) (* (pow (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) 2) (pow (- beta alpha) 2))) i)) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2))) i))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (pow (- beta alpha) 2))))) i)) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (pow i 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)))))) i)) (+ (* -1/4096 (/ (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)))) i)) (* 1/256 (/ (* (pow (+ alpha beta) 2) (* (+ (* -4 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))) (* -4 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (pow (- beta alpha) 2))) i)))) (+ (* -1/4096 (* (pow (+ alpha beta) 2) (* (pow (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) 2) (pow (- beta alpha) 2)))) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* 4 (pow (+ 2 (+ alpha beta)) 2)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (* (+ 2 (+ alpha beta)) (+ alpha beta))))) (pow (- beta alpha) 2)))))) i)) (* 1/256 (* (pow (+ alpha beta) 2) (* (+ (* -16 (+ 2 (+ alpha beta))) (* -16 (+ alpha beta))) (pow (- beta alpha) 2))))) i)) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))) (pow i 4))
(pow alpha 4)
(+ (* beta (+ (* -2 (pow alpha 3)) (* 2 (pow alpha 3)))) (pow alpha 4))
(+ (* beta (+ (* -2 (pow alpha 3)) (+ (* 2 (pow alpha 3)) (* beta (+ (* -4 (pow alpha 2)) (* 2 (pow alpha 2))))))) (pow alpha 4))
(+ (* beta (+ (* -2 (pow alpha 3)) (+ (* 2 (pow alpha 3)) (* beta (+ (* -4 (pow alpha 2)) (+ (* 2 (pow alpha 2)) (* beta (+ (* -2 alpha) (* 2 alpha))))))))) (pow alpha 4))
(pow beta 4)
(* (pow beta 4) (+ 1 (+ (* -2 (/ alpha beta)) (* 2 (/ alpha beta)))))
(* (pow beta 4) (+ 1 (+ (* -4 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (* 2 (/ (pow alpha 2) (pow beta 2))))))))
(* (pow beta 4) (+ 1 (+ (* -4 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ alpha beta)) (+ (* -2 (/ (pow alpha 3) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (* 2 (/ (pow alpha 3) (pow beta 3))))))))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -2 alpha) (* 2 alpha)) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (+ (* -4 (pow alpha 2)) (* 2 (pow alpha 2))) beta)) (* 2 alpha))) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (+ (* -4 (pow alpha 2)) (+ (* -1 (/ (+ (* -2 (pow alpha 3)) (* 2 (pow alpha 3))) beta)) (* 2 (pow alpha 2)))) beta)) (* 2 alpha))) beta))))
(pow beta 4)
(+ (* alpha (+ (* -2 (pow beta 3)) (* 2 (pow beta 3)))) (pow beta 4))
(+ (* alpha (+ (* -2 (pow beta 3)) (+ (* 2 (pow beta 3)) (* alpha (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))))))) (pow beta 4))
(+ (* alpha (+ (* -2 (pow beta 3)) (+ (* 2 (pow beta 3)) (* alpha (+ (* -4 (pow beta 2)) (+ (* 2 (pow beta 2)) (* alpha (+ (* -2 beta) (* 2 beta))))))))) (pow beta 4))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (+ (* -2 (/ beta alpha)) (* 2 (/ beta alpha)))))
(* (pow alpha 4) (+ 1 (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ beta alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (pow beta 2) (pow alpha 2))))))))
(* (pow alpha 4) (+ 1 (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ beta alpha)) (+ (* -2 (/ (pow beta 3) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (* 2 (/ (pow beta 3) (pow alpha 3))))))))))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* 2 beta)) alpha))))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (+ (* -1 (/ (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) alpha)) (* 2 beta))) alpha))))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (+ (* -1 (/ (+ (* -4 (pow beta 2)) (+ (* -1 (/ (+ (* -2 (pow beta 3)) (* 2 (pow beta 3))) alpha)) (* 2 (pow beta 2)))) alpha)) (* 2 beta))) alpha))))
(/ beta (+ 2 (+ beta (* 2 i))))
(+ (* alpha (- (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 (+ beta (* 2 i))) 3)) (/ 1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ 1 (+ 2 (+ beta (* 2 i))))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 (+ beta (* 2 i))) 3)) (/ beta (pow (+ 2 (+ beta (* 2 i))) 4)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 3))) (/ 1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ 1 (+ 2 (+ beta (* 2 i))))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 i)) alpha)))
(- (+ 1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ beta (* 2 i)))) (pow alpha 2))) (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (* (+ 2 (* 2 i)) (pow (+ 2 (+ beta (* 2 i))) 2)) (pow alpha 3)))) (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ beta (* 2 i)))) (pow alpha 2))) (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha)))))
1
(+ 1 (* -1 (/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i)))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 (+ beta (* 2 i))) 2) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i)))))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
(/ alpha (+ 2 (+ alpha (* 2 i))))
(+ (* beta (- (/ 1 (+ 2 (+ alpha (* 2 i)))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
(+ (* beta (- (+ (* beta (- (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3)) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 3)) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 4)))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 i)) beta)))
(- (+ 1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ alpha (* 2 i)))) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))
(- (+ 1 (* -1 (/ (* (+ 2 (* 2 i)) (pow (+ 2 (+ alpha (* 2 i))) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ alpha (* 2 i)))) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
1
(+ 1 (* -1 (/ (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i)))))) beta))) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 (+ alpha (* 2 i))) 2) (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i)))))))) beta))) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
(/ (+ 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)
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(/ 1 beta)
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(/ -1 alpha)
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(/ -1 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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Outputs
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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 (/ (- (+ 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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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ 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 (/ (+ (* -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 (/ (- (+ 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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(* 1/4 (/ (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i))))) alpha))
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(* 1/2 (/ (- (/ (pow (- beta alpha) 2) (pow (+ 2 (+ alpha beta)) 2)) 1) (- (/ beta (+ 2 (+ alpha beta))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))))
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(/ -1 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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(- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 2 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
(+.f64 (/.f64 (neg.f64 beta) alpha) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))))))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (*.f64 alpha alpha))))))
-2
#s(literal -2 binary64)
(- (* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 2)
(+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal -2 binary64))
(- (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 2)
(+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) alpha))) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal -2 binary64))
(- (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 2)
(+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) alpha) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))))) alpha) (.f64 beta beta)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))))) alpha))) (neg.f64 (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal -2 binary64))
(- (/ beta (+ 2 (+ alpha beta))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(- (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))
(+.f64 (neg.f64 (/.f64 (.f64 i (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))
(fma.f64 i (-.f64 (neg.f64 (.f64 i (+.f64 (neg.f64 (/.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)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ alpha (+ 2 (+ alpha beta)))))
(fma.f64 i (fma.f64 i (-.f64 (neg.f64 (.f64 i (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (neg.f64 (/.f64 (.f64 (+.f64 (neg.f64 (/.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)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.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 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (+.f64 (neg.f64 (/.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)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))))) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))) 1)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal -1 binary64))
(- (+ (* -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)
(fma.f64 #s(literal -1/16 binary64) (/.f64 (.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))) (.f64 i (.f64 i i))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)) #s(literal -1 binary64)))
(- (+ (* -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 (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3)))))
(+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.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 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 beta alpha)))) (pow.f64 i #s(literal 4 binary64)))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (.f64 i i)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.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)))) (.f64 i (.f64 i i))))))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))) 1)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 i i)) #s(literal -1 binary64))
(- (+ (* 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)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha)) (.f64 i (.f64 i i))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)) #s(literal -1 binary64)))
(- (+ (* -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)
(+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.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 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 beta alpha))) i) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha))))) (.f64 i (.f64 i i)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)) #s(literal -1 binary64)))

rewrite312.0ms (2.1%)

Memory

20.5MiB live, 369.0MiB allocated

Rules

4 046×	`lower-*.f32`
4 026×	`lower-*.f64`
3 714×	`lower-/.f32`
3 698×	`lower-/.f64`
3 164×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	638
0	113	557
1	638	531
2	6855	531
0	8044	519

Stop Event

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

Counts

25 → 531

Calls

Call 1

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

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

eval322.0ms (2.2%)

Memory: 21.1MiB live, 482.2MiB allocated
Compiler: Compiled 147 319 to 5 881 computations (96% saved)

prune378.0ms (2.6%)

Memory

6.7MiB live, 534.3MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 455	11	1 466
Fresh	5	13	18
Picked	4	1	5
Done	0	2	2
Total	1 464	27	1 491

Accuracy

100.0%

Counts

1 491 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.8%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.0%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	50.0%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
	48.9%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ (* (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1) (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)))))
	46.6%	(/.f64 (-.f64 (/.f64 (.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( (+ beta alpha) (/ (- beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ beta (+ alpha (+ (* 2 i) 2)))))) -1) (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)))))
	10.8%	(/.f64 #s(approx (- (/ (* (+ beta alpha) (* (- beta alpha) (* (- beta alpha) (+ beta alpha)))) (* (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ 2 (+ (* 2 i) beta)))))) 1) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 beta beta) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 beta (.f64 beta beta)) (neg.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (.f64 beta (.f64 beta beta)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))) alpha))) (.f64 #s(literal 2 binary64) (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) alpha)) (.f64 #s(literal 2 binary64) (.f64 beta beta)))) (fma.f64 #s(literal 4 binary64) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) alpha)) (.f64 #s(literal 2 binary64) beta))) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) alpha))) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
	48.2%	(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) #s(approx (/ alpha (+ 2 (+ (* 2 i) alpha))) (/.f64 (*.f64 #s(literal 1/2 binary64) alpha) i))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	64.8%	(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (+ beta (+ (* 2 i) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	25.9%	(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (+ beta (+ (* 2 i) alpha))) (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	76.1%	(.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ ( 2 i) alpha))) (/.f64 beta (+.f64 beta (.f64 #s(literal 2 binary64) i)))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	61.4%	(.f64 (fma.f64 #s(approx (- beta alpha) (neg.f64 alpha)) (/.f64 #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	64.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	57.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	19.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (.f64 alpha (.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (.f64 alpha alpha)))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (*.f64 alpha alpha))) alpha))
	19.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.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 (-.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 beta beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha)) (neg.f64 alpha)))
	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
	17.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
	9.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
	70.6%	#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 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
	52.1%	#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 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
✓	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) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
	26.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal -1/2 binary64)))
	7.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
	17.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) alpha) (.f64 #s(literal 1/2 binary64) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha)))
✓	30.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	60.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 5 577 to 822 computations (85.3% saved)

regimes170.0ms (1.2%)

Memory

-18.2MiB live, 173.7MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

75.0ms	(/.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)))
16.0ms	alpha
16.0ms	beta
15.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
15.0ms	i

Results

Accuracy	Segments	Branch
90.5%	2	`alpha`
77.8%	1	`beta`
77.8%	1	`i`
97.3%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.3%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.3%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
77.8%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes29.0ms (0.2%)

Memory

2.0MiB live, 43.2MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms

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

8.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes22.0ms (0.2%)

Memory

3.9MiB live, 40.6MiB allocated

Counts

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

Outputs

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

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

7.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
96.2%	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))`
96.2%	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))`
96.2%	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 90 to 41 computations (54.4% saved)

regimes18.0ms (0.1%)

Memory

-7.8MiB live, 30.1MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
96.5%	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))`
96.5%	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))`
96.5%	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)

regimes17.0ms (0.1%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
96.0%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.0%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.0%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes17.0ms (0.1%)

Memory

-11.9MiB live, 25.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

5.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
96.0%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.0%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.0%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes33.0ms (0.2%)

Memory

-23.5MiB live, 20.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
96.0%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.0%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.0%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes14.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
92.3%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.3%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.3%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes43.0ms (0.3%)

Memory

-14.2MiB live, 23.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

31.0ms	alpha
4.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
4.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.0%	2	`alpha`
91.6%	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))`
91.6%	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))`
91.6%	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 94 to 44 computations (53.2% saved)

regimes10.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB 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) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ 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 (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) (*.f64 #s(literal -1/2 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 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) (/.f64 (*.f64 #s(literal -1/2 binary64) 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) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

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
85.9%	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))`
85.9%	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))`
85.9%	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)

regimes12.0ms (0.1%)

Memory

-18.2MiB live, 19.2MiB 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) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ 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 (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) (*.f64 #s(literal -1/2 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 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) (/.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))

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

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

Calls

3 calls:

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))

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))

Results

Accuracy	Segments	Branch
85.7%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
85.7%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
85.7%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes19.0ms (0.1%)

Memory

2.1MiB live, 39.9MiB allocated

Counts

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

Outputs

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

7 calls:

5.0ms	beta
3.0ms	alpha
2.0ms	(*.f64 #s(literal 2 binary64) i)
2.0ms	i
2.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
72.6%	2	`beta`
60.5%	1	`i`
60.5%	1	`(*.f64 #s(literal 2 binary64) i)`
62.7%	2	`alpha`
78.3%	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))`
78.3%	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))`
78.3%	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 108 to 55 computations (49.1% saved)

regimes6.0ms (0%)

Memory

14.6MiB live, 14.6MiB 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) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ 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 (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
75.1%	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))`
75.1%	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))`
75.1%	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 90 to 41 computations (54.4% saved)

regimes9.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
60.5%	1	`i`
60.5%	1	`(*.f64 #s(literal 2 binary64) i)`
60.5%	1	`alpha`
60.5%	1	`beta`
60.5%	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))`
60.5%	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))`
60.5%	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 108 to 55 computations (49.1% saved)

bsearch18.0ms (0.1%)

Memory

-38.9MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998479	-0.9999905079333329

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999999999998479	-0.9999905079333329

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2870180031684516e-60	6.306117588403879e-44
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1688755784701794e-12	0.9887979203292644
0.0ms	-0.9999905079333329	-3.7818598166768755e-6

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1688755784701794e-12	0.9887979203292644
0.0ms	-0.9999999999999999	-0.9999999999998479

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1688755784701794e-12	0.9887979203292644

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify21.0ms (0.1%)

Memory

-4.2MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary64`
30×	`*-commutative_binary64`
14×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2036
1	174	2036
2	185	2036
3	191	2036
4	194	2036

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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #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 -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal -1/2 binary64))) (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ (* 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ (* 2 i) alpha))) (/.f64 beta (+.f64 beta (.f64 #s(literal 2 binary64) i)))) #s(approx (/ (+ alpha beta) (+ alpha (+ beta (+ ( 2 i) 2)))) (/.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
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#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
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(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) 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) #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) 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) #s(approx (+ 2 (+ ( beta 2) (* i 4))) (fma.f64 i #s(literal 4 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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 beta #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 -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) 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) #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ beta alpha))) (/.f64 beta (+.f64 beta #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 -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4951760157141521/2475880078570760549798248448 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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) 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) #s(approx (+ 2 (+ ( beta 2) (* i 4))) #s(approx (+ 2 (* 4 i)) #s(literal 2 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 4951760157141521/2475880078570760549798248448 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 -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (.f64 #s(literal 2 binary64) i)) 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 4951760157141521/2475880078570760549798248448 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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -9007199254740091/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (.f64 #s(literal 2 binary64) i)) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 4951760157141521/2475880078570760549798248448 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 4951760157141521/2475880078570760549798248448 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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 4951760157141521/2475880078570760549798248448 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))

soundness1.4s (9.9%)

Memory

-4.0MiB live, 1 451.2MiB allocated

Rules

6 562×	`lower-fma.f64`
6 562×	`lower-fma.f32`
6 328×	`lower-*.f64`
6 328×	`lower-*.f32`
5 612×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	638
0	113	557
1	638	531
2	6855	531
0	8044	519
0	3191	77125
0	8164	74450
0	15	110
0	25	110
1	125	110
2	1197	110
0	8707	100
0	61	539
0	102	478
1	593	441
2	6331	441
0	8024	436
0	3144	94488
0	8049	91086
0	967	13190
1	3283	11526
0	9161	10389
0	3093	73623
0	8159	71118

Stop Event

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

Compiler

Compiled 1 708 to 566 computations (66.9% saved)

preprocess93.0ms (0.6%)

Memory: 19.9MiB live, 173.1MiB allocated
Compiler: Compiled 2 004 to 216 computations (89.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze47.0ms (0.3%)

sample1.9s (12.9%)

explain269.0ms (1.8%)

preprocess343.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify595.0ms (4.1%)

localize55.0ms (0.4%)

series79.0ms (0.5%)

simplify444.0ms (3%)

rewrite339.0ms (2.3%)

eval169.0ms (1.2%)

prune160.0ms (1.1%)

simplify333.0ms (2.3%)

localize410.0ms (2.8%)

series328.0ms (2.2%)

simplify811.0ms (5.6%)

rewrite374.0ms (2.6%)

eval496.0ms (3.4%)

prune575.0ms (3.9%)

simplify260.0ms (1.8%)

localize352.0ms (2.4%)

series206.0ms (1.4%)

simplify818.0ms (5.6%)

rewrite328.0ms (2.3%)

eval283.0ms (1.9%)

prune235.0ms (1.6%)

simplify210.0ms (1.4%)

localize290.0ms (2%)

series127.0ms (0.9%)

simplify756.0ms (5.2%)

rewrite312.0ms (2.1%)

eval322.0ms (2.2%)

prune378.0ms (2.6%)

regimes170.0ms (1.2%)

regimes29.0ms (0.2%)

regimes22.0ms (0.2%)

regimes18.0ms (0.1%)

regimes17.0ms (0.1%)

regimes17.0ms (0.1%)

regimes33.0ms (0.2%)

regimes14.0ms (0.1%)

regimes43.0ms (0.3%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes19.0ms (0.1%)

regimes6.0ms (0%)

regimes9.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

soundness1.4s (9.9%)

preprocess93.0ms (0.6%)

end0.0ms (0%)

Profiling