Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze56.0ms (0.4%)

Memory

-40.8MiB live, 91.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample2.1s (16%)

Memory

91.0MiB live, 2 420.0MiB allocated

Samples

1.0s	6 626×	0	valid
305.0ms	1 194×	1	valid
215.0ms	436×	2	valid

Precisions

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

ival-add: 331.0ms (30.3% of total)

ival-div: 280.0ms (25.6% of total)

ival-mult: 176.0ms (16.1% of total)

ival->: 128.0ms (11.7% of total)

adjust: 89.0ms (8.2% of total)

ival-sub: 52.0ms (4.8% of total)

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

exact: 17.0ms (1.6% of total)

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

Bogosity

explain207.0ms (1.6%)

Memory

-18.5MiB live, 517.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	80	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	80
`+.f64`	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	51	0

Confusion

	Predicted +	Predicted -
+	104	0
-	0	152

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	0
-	0	0	152

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	152
1	77
2	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	418×	0	valid
15.0ms	74×	1	valid
6.0ms	20×	2	valid

Compiler

Compiled 302 to 49 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (29.6% of total)

ival-add: 11.0ms (29.6% of total)

ival-mult: 7.0ms (18.8% of total)

adjust: 4.0ms (10.8% of total)

ival-sub: 3.0ms (8.1% of total)

ival-true: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

preprocess348.0ms (2.6%)

Memory

-29.2MiB live, 395.0MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.6%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Status

Accuracy

Program

▶

61.6%

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

simplify262.0ms (2%)

Memory

15.6MiB live, 377.3MiB 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)

localize66.0ms (0.5%)

Memory

-6.5MiB live, 69.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0.06869125976844201	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	11.421541328591427	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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	20.53339902678278	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

41.0ms	209×	0	valid
7.0ms	37×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 24.0ms (61.4% of total)

ival-add: 6.0ms (15.3% of total)

ival-div: 5.0ms (12.8% of total)

adjust: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.6%)

Memory

-20.2MiB live, 103.2MiB 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
3.0ms	i	@	-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))
2.0ms	beta	@	0	(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2))

simplify290.0ms (2.2%)

Memory

40.3MiB live, 460.6MiB 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)))

rewrite326.0ms (2.5%)

Memory

8.3MiB live, 406.0MiB 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))))

eval121.0ms (0.9%)

Memory: 3.8MiB live, 188.5MiB allocated
Compiler: Compiled 34 159 to 2 815 computations (91.8% saved)

prune143.0ms (1.1%)

Memory

-18.0MiB live, 271.7MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	620	18	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	621	18	639

Accuracy

100.0%

Counts

639 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.5%	(/.f64 (fma.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 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	68.2%	(/.f64 (fma.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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	81.9%	(/.f64 (fma.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.0%	(/.f64 (fma.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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.3%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (/.f64 (.f64 alpha alpha) (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	36.1%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (fma.f64 alpha (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.2%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	68.2%	(.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))
	24.6%	#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 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
	13.5%	#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))
	13.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.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)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.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 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 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (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) (.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))))) #s(literal -1/2 binary64))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)))
	16.1%	#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))
▶	21.6%	#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))
	19.3%	#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))
	69.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	60.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 968 to 590 computations (70% saved)

simplify276.0ms (2.1%)

Memory

31.1MiB live, 378.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

14 854×	`lower-fma.f32`
14 842×	`lower-fma.f64`
4 396×	`lower-*.f32`
4 388×	`lower-*.f64`
2 854×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	484
0	73	474
1	141	474
2	367	471
3	1538	465
4	3412	462
5	4344	462
6	7333	462
0	8014	461

Stop Event

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

Calls

Call 1

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

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

localize521.0ms (3.9%)

Memory

-17.9MiB live, 286.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	11.576796005835911	(fma.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 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
accuracy	18.661062495554212	(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
accuracy	0.00390625	(/.f64 (fma.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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	0.015625	(*.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	11.576494695244401	(fma.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)))))) #s(literal 1 binary64))
accuracy	18.781129032428645	(/.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))))))
accuracy	0	(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
accuracy	0	(*.f64 i #s(literal 4 binary64))
accuracy	0.015625	(/.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	50.18357060335435	#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	25.05638516650873	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 (fma.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	0.033535009768442016	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	0.06640625	(/.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)))))
accuracy	11.579900334496392	(fma.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))))) #s(literal 1 binary64))

Samples

238.0ms	37×	1	valid
67.0ms	209×	0	valid
9.0ms	10×	2	valid

Compiler

Compiled 517 to 45 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 229.0ms (82.6% of total)

ival-div: 22.0ms (7.9% of total)

ival-add: 19.0ms (6.9% of total)

adjust: 5.0ms (1.8% of total)

ival-sub: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series210.0ms (1.6%)

Memory

-17.5MiB live, 211.3MiB allocated

Counts

21 → 672

Calls

Call 1

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

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

168 calls:

Time	Variable		Point	Expression
10.0ms	i	@	0	(/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha)
7.0ms	i	@	0	(/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))
5.0ms	beta	@	-inf	(/ (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (+ alpha (+ beta (+ (* 2 i) 2))))
4.0ms	alpha	@	-inf	(/ (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (+ alpha (+ beta (+ (* 2 i) 2))))
4.0ms	beta	@	-inf	(/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha)

simplify519.0ms (3.9%)

Memory

42.1MiB live, 824.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 970×	`lower-*.f64`
5 970×	`lower-*.f32`
5 544×	`lower-fma.f64`
5 544×	`lower-fma.f32`
4 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1937	43041
1	6580	42901
0	8077	38670

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 659

Calls

Call 1

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

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

rewrite361.0ms (2.7%)

Memory

0.6MiB live, 560.4MiB allocated

Rules

4 980×	`lower-/.f32`
4 966×	`lower-/.f64`
3 680×	`lower-*.f32`
3 672×	`lower-*.f64`
2 990×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	360
0	73	350
1	393	350
2	3548	350
0	9030	346

Stop Event

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

Counts

21 → 814

Calls

Call 1

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

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

eval274.0ms (2.1%)

Memory: -6.2MiB live, 505.8MiB allocated
Compiler: Compiled 92 242 to 5 348 computations (94.2% saved)

prune338.0ms (2.5%)

Memory

-21.4MiB live, 478.9MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1 632	13	1 645
Fresh	5	8	13
Picked	4	1	5
Done	0	0	0
Total	1 641	22	1 663

Accuracy

100.0%

Counts

1 663 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ ( 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	69.1%	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	79.9%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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))
	60.4%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (neg.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	55.1%	(/.f64 (fma.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))) (neg.f64 alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	36.1%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (fma.f64 alpha (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.6%	#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 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
	13.5%	#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))
	13.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.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)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.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 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 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (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) (.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))))) #s(literal -1/2 binary64))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)))
	16.1%	#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))
▶	19.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))) #s(literal 1/2 binary64)) alpha))
	19.6%	#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))
	15.1%	#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))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
	19.3%	#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))
▶	21.6%	#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) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
	9.9%	#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))
	69.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
	21.6%	#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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
	5.6%	#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)))
▶	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	60.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 999 to 598 computations (70.1% saved)

simplify284.0ms (2.1%)

Memory

20.0MiB live, 323.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
cost-diff	384	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))) #s(literal 1/2 binary64)) alpha)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))
cost-diff	0	#s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
cost-diff	0	(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
cost-diff	192	(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
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 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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	0	(+.f64 alpha beta)
cost-diff	0	(fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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))

Rules

12 602×	`lower-fma.f32`
12 588×	`lower-fma.f64`
4 182×	`lower-*.f32`
4 176×	`lower-*.f64`
2 818×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	615
0	93	606
1	186	603
2	506	597
3	1924	585
4	5449	571
0	8145	562

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (1.8%)

Memory

14.6MiB live, 225.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))) #s(literal 1/2 binary64)) alpha)
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))
accuracy	24.97083372833312	(/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))
accuracy	50.18357060335435	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 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) (+.f64 beta alpha))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	11.576494695244401	(fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
accuracy	26.821014061028773	#s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
accuracy	0	#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
accuracy	0.015625	(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
accuracy	50.18357060335435	#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) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
accuracy	42.12806718060664	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
accuracy	0.06640625	(/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
accuracy	11.579900334496392	(fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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	26.42340715648941	#s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)))

Samples

129.0ms	208×	0	valid
38.0ms	38×	1	valid
9.0ms	10×	2	valid

Compiler

Compiled 540 to 54 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-div: 62.0ms (55.3% of total)

ival-add: 22.0ms (19.6% of total)

ival-mult: 17.0ms (15.2% of total)

adjust: 6.0ms (5.3% of total)

ival-sub: 4.0ms (3.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series136.0ms (1%)

Memory

-11.1MiB live, 182.3MiB allocated

Counts

23 → 696

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (taylor 0 alpha) (#s(alt (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 alpha) (#s(alt (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 alpha) (#s(alt (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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>) () ())) ())
#s(alt (+ (* 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))))))))))))) (taylor 0 alpha) (#s(alt (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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>) () ())) ())
#s(alt (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) (taylor inf alpha) (#s(alt (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (* (- 4 (* 4 (pow beta 2))) (- (* -1/16 (- 2 (* 2 beta))) (* 1/4 beta))) i)) (/ (* beta (+ (* -1 (* beta (- (* -1/16 (- 2 (* 2 beta))) (* 1/4 beta)))) (* 1/64 (- 4 (* 4 (pow beta 2)))))) i)) (+ (* -1 (* beta (- (* -1/16 (- 2 (* 2 beta))) (* 1/4 beta)))) (* 1/64 (- 4 (* 4 (pow beta 2)))))) i)) (* -1/16 (- 2 (* 2 beta)))) (* 1/4 beta)) i)) 1/4) i)) (taylor -inf i) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())

Calls

174 calls:

Time	Variable		Point	Expression
15.0ms	i	@	inf	(/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha)
11.0ms	alpha	@	0	(+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (+ alpha (+ beta (+ (* 2 i) 2))))) 1)
2.0ms	alpha	@	0	(/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha)
1.0ms	i	@	0	(/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha)
1.0ms	beta	@	0	(/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha)

simplify652.0ms (4.9%)

Memory

7.6MiB live, 641.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 032×	`lower-*.f64`
6 032×	`lower-*.f32`
4 760×	`lower-fma.f64`
4 760×	`lower-fma.f32`
4 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2288	41428
1	7773	41296
0	8030	37333

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 679

Calls

Call 1

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

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

rewrite364.0ms (2.7%)

Memory

-4.5MiB live, 388.7MiB allocated

Rules

4 452×	`lower-*.f32`
4 446×	`lower-*.f64`
3 922×	`lower-/.f32`
3 904×	`lower-/.f64`
3 666×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	511
0	93	440
1	489	428
2	4863	428
0	9051	418

Stop Event

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

Counts

23 → 491

Calls

Call 1

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

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

eval261.0ms (2%)

Memory: 34.1MiB live, 459.0MiB allocated
Compiler: Compiled 63 368 to 4 465 computations (93% saved)

prune301.0ms (2.3%)

Memory

-26.6MiB live, 393.7MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 159	11	1 170
Fresh	6	10	16
Picked	4	1	5
Done	0	1	1
Total	1 169	23	1 192

Accuracy

100.0%

Counts

1 192 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ ( 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.4%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	55.1%	(/.f64 (fma.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))) (neg.f64 alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	57.2%	(/.f64 (fma.f64 #s(approx (- beta alpha) (.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	69.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
▶	79.9%	(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	69.1%	(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	24.6%	#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 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
	13.5%	#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))
	13.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.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)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.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 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 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (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) (.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))))) #s(literal -1/2 binary64))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)))
	16.1%	#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))
▶	19.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha))
	17.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 2 (+ ( beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))))) (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (.f64 i i)))))) #s(literal 1/2 binary64)) alpha))
	19.3%	#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))
	21.6%	#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) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
	9.9%	#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))
	15.1%	#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) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) beta))) alpha))
▶	69.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
	21.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
▶	5.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))
	21.6%	#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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
✓	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	60.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 2 036 to 632 computations (69% saved)

simplify292.0ms (2.2%)

Memory

20.9MiB live, 293.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #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	384	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i))))))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
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	(/.f64 beta alpha)
cost-diff	0	#s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))
cost-diff	0	#s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)))
cost-diff	0	(/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
cost-diff	0	(fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))

Rules

8 982×	`lower-fma.f32`
8 972×	`lower-fma.f64`
4 070×	`lower-*.f32`
4 056×	`lower-*.f64`
2 672×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	831
0	116	809
1	247	809
2	638	807
3	2209	807
4	5769	789
0	8233	776

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64))
(/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
#s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
beta
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
(+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
alpha
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))
(+.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) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
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 #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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 beta alpha)
beta
alpha
#s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i))))))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))
(-.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 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i))))))
#s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))
(fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i))))
(*.f64 beta beta)
(.f64 i (.f64 #s(literal 16 binary64) (+.f64 beta i)))
(*.f64 #s(literal 16 binary64) (+.f64 beta i))
#s(literal 16 binary64)
(+.f64 beta i)
#s(literal 1/2 binary64)
alpha

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

localize379.0ms (2.9%)

Memory

-26.5MiB live, 414.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha)
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i))))))))
accuracy	24.97083372833312	(/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))
accuracy	50.18357060335435	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
accuracy	0.05078125	(/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)))
accuracy	11.576494695244401	(fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
accuracy	26.821014061028773	#s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
accuracy	0.00390625	(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
accuracy	0.021816259768442016	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	12.415172892773436	#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	15.570815725703348	(+.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	0	(/.f64 beta alpha)
accuracy	44.49514201969801	#s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha))
accuracy	50.18357060335435	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))
accuracy	0.0078125	(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
accuracy	0.06640625	(/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
accuracy	11.579900334496392	(fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64))
accuracy	26.42340715648941	#s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)))

Samples

163.0ms	191×	0	valid
47.0ms	22×	2	valid
33.0ms	43×	1	valid

Compiler

Compiled 640 to 64 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-div: 87.0ms (41.6% of total)

ival-add: 67.0ms (32.1% of total)

ival-mult: 35.0ms (16.7% of total)

adjust: 12.0ms (5.7% of total)

ival-sub: 8.0ms (3.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series115.0ms (0.9%)

Memory

-4.9MiB live, 152.9MiB allocated

Counts

23 → 708

Calls

Call 1

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

177 calls:

Time	Variable		Point	Expression
19.0ms	alpha	@	inf	(/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1))
3.0ms	beta	@	0	(/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1))
3.0ms	alpha	@	-inf	(/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1))
2.0ms	alpha	@	0	(/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1))
2.0ms	i	@	0	(/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1))

simplify620.0ms (4.7%)

Memory

36.1MiB live, 697.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 914×	`lower-*.f64`
4 914×	`lower-*.f32`
4 764×	`lower-+.f64`
4 764×	`lower-+.f32`
3 428×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2631	51234
1	7830	51006
0	8177	46195

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 701

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

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

rewrite305.0ms (2.3%)

Memory

-17.1MiB live, 464.8MiB allocated

Rules

5 590×	`lower-*.f32`
5 576×	`lower-*.f64`
4 282×	`lower-fma.f32`
4 272×	`lower-fma.f64`
3 398×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	631
0	116	581
1	638	557
2	6155	557
0	9218	550

Stop Event

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

Counts

23 → 480

Calls

Call 1

Inputs
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64))
(/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
#s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha))
(/.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(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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 beta alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i))))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha)
(-.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 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))) #s(literal 1/2 binary64)) alpha))
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
#s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (.f64 i (*.f64 #s(literal 16 binary64) (+.f64 beta i)))))))

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

eval222.0ms (1.7%)

Memory: 15.0MiB live, 415.7MiB allocated
Compiler: Compiled 74 594 to 4 746 computations (93.6% saved)

prune310.0ms (2.3%)

Memory

-4.8MiB live, 390.5MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 204	20	1 224
Fresh	7	9	16
Picked	2	3	5
Done	0	2	2
Total	1 213	34	1 247

Accuracy

100.0%

Counts

1 247 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ ( 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	69.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
	13.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (+.f64 (/.f64 (.f64 beta beta) alpha) (neg.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (fma.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) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (-.f64 (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 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))))) (.f64 alpha (.f64 alpha alpha)))))) (+.f64 (+.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (-.f64 (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)) (fma.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 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))))))) alpha))))) alpha))))
	28.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 alpha (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) beta) #s(literal 1 binary64))))
	45.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)) (.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 alpha (.f64 (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))))))))) (/.f64 #s(literal 2 binary64) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))))))))
✓	79.9%	(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	60.4%	(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (neg.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	50.8%	(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) #s(approx (/ beta (+ (* 2 i) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) i))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	57.9%	(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) #s(literal -1 binary64)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	69.1%	(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	69.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	59.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/2 binary64)))
	24.6%	#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 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
	44.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
	19.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 4 binary64) #s(approx ( (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))) (fma.f64 (.f64 i (+.f64 beta i)) #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (.f64 beta beta))))) (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) #s(literal 1/2 binary64)) alpha))
	17.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 2 (+ ( beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))))) (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (.f64 i i)))))) #s(literal 1/2 binary64)) alpha))
	19.3%	#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))
	21.6%	#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) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
	9.9%	#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))
	15.1%	#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) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) beta))) alpha))
	57.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- beta alpha) (.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
	3.5%	#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))))
	21.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
	44.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
✓	5.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))
	21.6%	#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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
	25.9%	#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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64))))
	73.8%	#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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
	53.3%	#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))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
	14.2%	#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 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (.f64 alpha alpha))) (.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)))) alpha)))
	14.0%	#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 #s(literal 2 binary64) beta) (/.f64 (-.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)))
	13.1%	#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))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha))) alpha))) alpha))))
✓	34.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	60.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 3 314 to 822 computations (75.2% saved)

regimes158.0ms (1.2%)

Memory

35.1MiB live, 152.2MiB allocated

Counts

63 → 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta 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))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) 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))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.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 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
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#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))
#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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.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)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.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 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 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (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) (.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))))) #s(literal -1/2 binary64))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (+.f64 (/.f64 (.f64 beta beta) alpha) (neg.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (fma.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) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (-.f64 (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 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))))) (.f64 alpha (.f64 alpha alpha)))))) (+.f64 (+.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (-.f64 (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)) (fma.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 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i)))))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))) (+.f64 beta (-.f64 (neg.f64 beta) (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 4 binary64) i))))))) alpha))))) 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) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))

(/.f64 (fma.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

7 calls:

38.0ms	(/.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)))
30.0ms	beta
22.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
17.0ms	(*.f64 #s(literal 2 binary64) i)
16.0ms	i

Results

Accuracy	Segments	Branch
89.6%	2	`alpha`
81.9%	1	`beta`
84.8%	2	`i`
97.8%	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))`
97.8%	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))`
97.8%	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)))`
84.8%	2	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes63.0ms (0.5%)

Memory

-38.4MiB live, 49.6MiB allocated

Counts

47 → 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta 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))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) 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))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.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 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) #s(literal -1 binary64)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))) (neg.f64 alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- beta alpha) (.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) (+.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 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 alpha (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) beta) #s(literal 1 binary64))))
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) #s(approx (/ beta (+ (* 2 i) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) i))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(approx (- beta alpha) (.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 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 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (neg.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 2 (+ ( beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4))))) (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (.f64 i i)))))) #s(literal 1/2 binary64)) alpha))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 beta (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 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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (neg.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)))) (+.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 alpha beta) (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (/.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (+.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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ ( 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (/.f64 (.f64 alpha alpha) (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (fma.f64 alpha (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

3 calls:

26.0ms

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

11.0ms

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

10.0ms

(+.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
96.7%	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)

regimes44.0ms (0.3%)

Memory

3.9MiB live, 42.3MiB allocated

Counts

35 → 3

Calls

Call 1

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

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

(*.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))

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

Calls

3 calls:

25.0ms

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

8.0ms

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

8.0ms

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

Results

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

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes32.0ms (0.2%)

Memory

5.9MiB live, 44.6MiB allocated

Counts

34 → 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta 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))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) 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))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.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 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) #s(literal -1 binary64)) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))) (neg.f64 alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- beta alpha) (.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) (+.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 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 alpha (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) beta) #s(literal 1 binary64))))
(.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) #s(approx (/ beta (+ (* 2 i) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) i))) (+.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(approx (- beta alpha) (.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) #s(approx (/ (+ alpha beta) ( (+ alpha (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

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

Calls

3 calls:

14.0ms

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

8.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
94.5%	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))`
94.5%	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))`
94.5%	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)

regimes30.0ms (0.2%)

Memory

-1.7MiB live, 37.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
94.5%	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))`
94.5%	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))`
94.5%	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)

regimes25.0ms (0.2%)

Memory

-13.1MiB live, 29.0MiB 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta 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))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) 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))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.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 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

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
93.8%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.8%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.8%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes13.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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
93.7%	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))`
93.7%	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))`
93.7%	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)

regimes26.0ms (0.2%)

Memory

-7.7MiB live, 31.7MiB 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta 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))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))

Outputs

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

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

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

Calls

4 calls:

16.0ms	(+.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	alpha
3.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.8%	2	`alpha`
87.0%	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))`
87.0%	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))`
87.0%	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 94 to 44 computations (53.2% saved)

regimes24.0ms (0.2%)

Memory

-17.4MiB live, 22.0MiB 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta 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))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))

Outputs

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

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

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

Calls

3 calls:

17.0ms

(/.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
86.8%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
86.8%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
86.8%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes31.0ms (0.2%)

Memory

0.7MiB live, 40.1MiB 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (/ 1 (/ (- 2 (+ (* beta 2) (* i 4))) (- 4 (* (+ (* beta 2) (* i 4)) (+ (* beta 2) (* i 4)))))) 1/2) alpha) (/.f64 beta alpha)))

Outputs

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

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

Calls

7 calls:

17.0ms	alpha
2.0ms	i
2.0ms	(*.f64 #s(literal 2 binary64) i)
2.0ms	beta
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
60.8%	1	`alpha`
73.7%	2	`beta`
60.8%	1	`i`
60.8%	1	`(*.f64 #s(literal 2 binary64) i)`
76.8%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
76.8%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.8%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes5.0ms (0%)

Memory

14.9MiB live, 14.9MiB 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

4 calls:

1.0ms	beta
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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
60.8%	1	`beta`
60.8%	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
60.8%	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
60.8%	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 94 to 44 computations (53.2% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999430124	-0.9999952615644284

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999889941103239	-0.06665875416931101

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.364779089508128e-90	2.0952709929009537e-83
0.0ms	-0.9999999999430124	-0.9999952615644284

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.364779089508128e-90	2.0952709929009537e-83
0.0ms	-0.999889941103239	-0.06665875416931101

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.364779089508128e-90	2.0952709929009537e-83
0.0ms	-0.999889941103239	-0.06665875416931101

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	8.463952586528349e-16	0.5217904043383479
0.0ms	-0.999889941103239	-0.06665875416931101

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	5.364779089508128e-90	2.0952709929009537e-83
0.0ms	-0.999889941103239	-0.06665875416931101

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	5.364779089508128e-90	2.0952709929009537e-83
0.0ms	-0.999889941103239	-0.06665875416931101

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	8.463952586528349e-16	0.5217904043383479
0.0ms	-0.999889941103239	-0.06665875416931101

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.463952586528349e-16	0.5217904043383479

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify44.0ms (0.3%)

Memory

-11.8MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
22×	`*-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1631
1	145	1631
2	153	1631
3	164	1631
4	175	1631
5	182	1631
6	187	1631
7	190	1631
8	191	1631

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 -9007163225943973/9007199254740992 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) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (/.f64 (fma.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))))) #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) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)))) (.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ alpha (+ ( 2 i) beta))) (/.f64 beta (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 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 -9007163225943973/9007199254740992 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) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 2535301200456459/2535301200456458802993406410752 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 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007163225943973/9007199254740992 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) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (/.f64 (fma.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))))) #s(literal 1 binary64)) #s(literal 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 #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 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 2535301200456459/2535301200456458802993406410752 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 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 2535301200456459/2535301200456458802993406410752 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 2535301200456459/2535301200456458802993406410752 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 2535301200456459/2535301200456458802993406410752 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))

soundness1.7s (12.8%)

Memory

-50.2MiB live, 1 338.6MiB allocated

Rules

6 562×	`lower-fma.f64`
6 562×	`lower-fma.f32`
6 328×	`lower-*.f64`
6 328×	`lower-*.f32`
6 032×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	631
0	116	581
1	638	557
2	6155	557
0	9218	550
0	15	110
0	25	110
1	125	110
2	1197	110
0	8707	100
0	2288	41428
1	7773	41296
0	8030	37333
0	2631	51234
1	7830	51006
0	8177	46195
0	63	511
0	93	440
1	489	428
2	4863	428
0	9051	418
0	967	13190
1	3283	11526
0	9161	10389
0	1937	43041
1	6580	42901
0	8077	38670

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×	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

Compiler

Compiled 1 342 to 475 computations (64.6% saved)

preprocess81.0ms (0.6%)

Memory: -9.0MiB live, 148.2MiB allocated
Compiler: Compiled 1 540 to 180 computations (88.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze56.0ms (0.4%)

sample2.1s (16%)

explain207.0ms (1.6%)

preprocess348.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify262.0ms (2%)

localize66.0ms (0.5%)

series85.0ms (0.6%)

simplify290.0ms (2.2%)

rewrite326.0ms (2.5%)

eval121.0ms (0.9%)

prune143.0ms (1.1%)

simplify276.0ms (2.1%)

localize521.0ms (3.9%)

series210.0ms (1.6%)

simplify519.0ms (3.9%)

rewrite361.0ms (2.7%)

eval274.0ms (2.1%)

prune338.0ms (2.5%)

simplify284.0ms (2.1%)

localize235.0ms (1.8%)

series136.0ms (1%)

simplify652.0ms (4.9%)

rewrite364.0ms (2.7%)

eval261.0ms (2%)

prune301.0ms (2.3%)

simplify292.0ms (2.2%)

localize379.0ms (2.9%)

series115.0ms (0.9%)

simplify620.0ms (4.7%)

rewrite305.0ms (2.3%)

eval222.0ms (1.7%)

prune310.0ms (2.3%)

regimes158.0ms (1.2%)

regimes63.0ms (0.5%)

regimes44.0ms (0.3%)

regimes32.0ms (0.2%)

regimes30.0ms (0.2%)

regimes25.0ms (0.2%)

regimes13.0ms (0.1%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes31.0ms (0.2%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify44.0ms (0.3%)

soundness1.7s (12.8%)

preprocess81.0ms (0.6%)

end0.0ms (0%)

Profiling