Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze126.0ms (1.1%)

Memory

11.1MiB live, 64.4MiB 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)

sample2.9s (26.1%)

Memory

-35.1MiB live, 2 395.8MiB allocated

Samples

975.0ms	6 580×	0	valid
320.0ms	1 231×	1	valid
168.0ms	445×	2	valid

Precisions

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

ival-add: 316.0ms (31.5% of total)

ival-div: 237.0ms (23.6% of total)

ival-mult: 206.0ms (20.5% of total)

adjust: 103.0ms (10.3% of total)

ival->: 54.0ms (5.4% of total)

ival-sub: 49.0ms (4.9% of total)

exact: 18.0ms (1.8% of total)

ival-and: 16.0ms (1.6% of total)

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

Bogosity

explain242.0ms (2.2%)

Memory

-4.4MiB live, 418.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
86	-	2	(1.5491121884427144e-156 1.983901496227745e-297 1.9606970361349343e-66)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
51	-	0	-	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`alpha`
0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`(-.f64 beta alpha)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	75	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	75
`+.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 -
+	100	0
-	0	156

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	156
1	74
2	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	420×	0	valid
13.0ms	64×	1	valid
12.0ms	28×	2	valid

Compiler

Compiled 299 to 49 computations (83.6% saved)

Precisions

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

ival-add: 12.0ms (31% of total)

ival-div: 11.0ms (28.5% of total)

ival-mult: 7.0ms (18.1% of total)

adjust: 4.0ms (10.3% of total)

ival-sub: 3.0ms (7.8% of total)

exact: 1.0ms (2.6% of total)

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

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

preprocess183.0ms (1.7%)

Memory

27.0MiB live, 216.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	281
1	195	277
2	717	269
3	3813	269
0	15	29
0	25	29
1	51	29
2	141	29
3	651	29
4	4726	29
0	8489	25

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))

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Status

Accuracy

Program

▶

62.9%

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

simplify193.0ms (1.8%)

Memory

-18.1MiB live, 269.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	133
0	25	133
1	51	133
2	141	133
3	651	133
4	4726	133
0	8489	121

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

localize61.0ms (0.6%)

Memory

28.5MiB live, 74.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.060878759768442016	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.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	11.319061359097082	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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	19.695316058855433	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

40.0ms	210×	0	valid
6.0ms	32×	1	valid
4.0ms	14×	2	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (31.1% of total)

ival-add: 6.0ms (31.1% of total)

ival-mult: 3.0ms (15.6% of total)

adjust: 2.0ms (10.4% of total)

ival-sub: 2.0ms (10.4% of total)

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.8%)

Memory

-32.2MiB live, 64.0MiB allocated

Counts

6 → 142

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	i	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
7.0ms	alpha	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
6.0ms	alpha	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
5.0ms	i	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* 2 i))
5.0ms	beta	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* 2 i))

simplify260.0ms (2.4%)

Memory

7.1MiB live, 247.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	12602
1	3357	12202
0	8834	10996

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 140

Calls

Call 1

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

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

rewrite234.0ms (2.1%)

Memory

8.9MiB live, 192.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	106
0	25	106
1	119	106
2	1045	106
0	8123	96

Stop Event

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

Counts

6 → 232

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

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

eval157.0ms (1.4%)

Memory: -5.6MiB live, 138.0MiB allocated
Compiler: Compiled 34 365 to 2 820 computations (91.8% saved)

prune29.0ms (0.3%)

Memory

15.1MiB live, 59.8MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	466	16	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	16	483

Accuracy

99.7%

Counts

483 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.1%	(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	82.3%	(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	57.2%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
	62.4%	(/.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))
	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	43.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
▶	60.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
	17.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)))) alpha))
▶	18.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
	79.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64)))
	69.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	32.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	62.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 982 to 766 computations (61.4% saved)

simplify177.0ms (1.6%)

Memory

-20.8MiB live, 173.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	1	(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)))
cost-diff	2	(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	3	(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (neg.f64 alpha) alpha)
cost-diff	0	(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
cost-diff	1	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
cost-diff	2	(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	3	(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	766
0	93	720
1	250	688
2	971	688
3	5404	688
0	8141	657

Stop Event

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

Calls

Call 1

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

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

localize327.0ms (3%)

Memory

-23.3MiB live, 148.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.7171154331000462	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha)
accuracy	3.067253240635706	(/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)
accuracy	23.80058515386955	(-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))
accuracy	51.07117582071846	#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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
accuracy	0.01953125	(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))
accuracy	13.907083411742349	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64))
accuracy	14.129145019954457	#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 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
accuracy	15.350993512027372	(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
accuracy	0.0	(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) beta)
accuracy	0.03125	(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)
accuracy	50.22962364183065	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy	24.266850639338784	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 beta alpha)
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.03515625	(/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	11.327102398346124	(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))

Samples

148.0ms	198×	0	valid
31.0ms	42×	1	valid
17.0ms	16×	2	valid

Compiler

Compiled 764 to 58 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 101.0ms (63.4% of total)

ival-add: 26.0ms (16.3% of total)

ival-div: 19.0ms (11.9% of total)

adjust: 9.0ms (5.7% of total)

ival-sub: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series119.0ms (1.1%)

Memory

7.9MiB live, 55.8MiB allocated

Counts

23 → 285

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	i	@	inf	((+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (* (neg alpha) alpha) (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (/ (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) alpha))
13.0ms	alpha	@	0	((+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (* (neg alpha) alpha) (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (/ (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) alpha))
12.0ms	beta	@	inf	((+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (* (neg alpha) alpha) (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (/ (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) alpha))
12.0ms	alpha	@	-inf	((+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (* (neg alpha) alpha) (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (/ (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) alpha))
8.0ms	alpha	@	inf	((+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (* (neg alpha) alpha) (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (/ (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) alpha))

simplify284.0ms (2.6%)

Memory

5.8MiB live, 234.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1709	13906
1	6210	13665
0	8671	12346

Stop Event

1×	iter limit
1×	node limit

Counts

285 → 283

Calls

Call 1

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

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

rewrite247.0ms (2.3%)

Memory

-1.1MiB live, 235.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	564
0	93	529
1	524	468
2	5179	468
0	9364	454

Stop Event

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

Counts

23 → 471

Calls

Call 1

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

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

eval237.0ms (2.2%)

Memory: 16.9MiB live, 396.6MiB allocated
Compiler: Compiled 64 042 to 4 995 computations (92.2% saved)

prune62.0ms (0.6%)

Memory

23.8MiB live, 169.4MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	829	24	853
Fresh	6	5	11
Picked	3	2	5
Done	0	0	0
Total	838	31	869

Accuracy

100.0%

Counts

869 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.3%	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	75.0%	(fma.f64 (/.f64 (+.f64 beta alpha) #s(approx (+ (+ (* i 2) (+ beta alpha)) 2) (*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	82.1%	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	66.0%	(fma.f64 #s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	57.2%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
	82.3%	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	63.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	43.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
✓	60.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
	3.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
	17.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)))) alpha))
	19.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
	20.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(approx (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (fma.f64 (fma.f64 #s(literal -12 binary64) (/.f64 i alpha) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -8 binary64)))) i (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (.f64 beta beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha))))) alpha))
	10.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) beta) #s(literal -1/2 binary64) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha))
	79.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
	11.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
▶	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	16.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 #s(literal 4 binary64) i)) alpha) #s(literal 1/2 binary64)))
	21.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64)))
	56.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	51.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
	7.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
▶	32.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	62.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
	69.5%	#s(approx (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 4 020 to 1 808 computations (55% saved)

simplify137.0ms (1.3%)

Memory

17.5MiB live, 244.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	491
0	85	471
1	207	457
2	532	457
3	2011	457
4	6125	457
0	8024	449

Stop Event

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

Calls

Call 1

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

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

localize263.0ms (2.4%)

Memory

-31.9MiB live, 352.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.03515625	(/.f64 (+.f64 beta alpha) #s(approx (+ (+ (* i 2) (+ beta alpha)) 2) (*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
accuracy	11.327102398346124	(fma.f64 (/.f64 (+.f64 beta alpha) #s(approx (+ (+ (* i 2) (+ beta alpha)) 2) (*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	15.055171438534789	(*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)
accuracy	0.0	(+.f64 beta alpha)
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	11.327102398346124	(fma.f64 #s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	36.50825804306944	#s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64))
accuracy	0.0	(.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy	0.03125	(/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha)
accuracy	15.729663593074498	#s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
accuracy	50.22962364183065	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy	42.961123692473	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0	(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	0.03515625	(/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	11.327102398346124	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Samples

141.0ms	209×	0	valid
34.0ms	33×	1	valid
18.0ms	14×	2	valid

Compiler

Compiled 437 to 51 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-add: 54.0ms (37.6% of total)

ival-mult: 51.0ms (35.5% of total)

ival-div: 24.0ms (16.7% of total)

adjust: 10.0ms (7% of total)

ival-sub: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series47.0ms (0.4%)

Memory

14.6MiB live, 111.3MiB allocated

Counts

18 → 208

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	-inf	((+ (* (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2))) 1/2) (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* (+ (/ (+ (+ (* 2 i) beta) 2) alpha) 1) alpha) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2)))
7.0ms	alpha	@	-inf	((+ (* (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2))) 1/2) (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* (+ (/ (+ (+ (* 2 i) beta) 2) alpha) 1) alpha) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2)))
5.0ms	i	@	0	((+ (* (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2))) 1/2) (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* (+ (/ (+ (+ (* 2 i) beta) 2) alpha) 1) alpha) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2)))
4.0ms	beta	@	0	((+ (* (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2))) 1/2) (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* (+ (/ (+ (+ (* 2 i) beta) 2) alpha) 1) alpha) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2)))
4.0ms	alpha	@	0	((+ (* (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2))) 1/2) (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* (+ (/ (+ (+ (* 2 i) beta) 2) alpha) 1) alpha) (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha) (/ (+ alpha beta) (+ (+ (* 2 i) (+ alpha beta)) 2)))

simplify284.0ms (2.6%)

Memory

53.3MiB live, 444.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	9563
1	3905	9351
0	8256	8414

Stop Event

1×	iter limit
1×	node limit

Counts

208 → 206

Calls

Call 1

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

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

rewrite234.0ms (2.1%)

Memory

2.7MiB live, 244.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	355
0	85	335
1	473	321
2	3905	321
0	8090	317

Stop Event

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

Counts

18 → 229

Calls

Call 1

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

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

eval157.0ms (1.4%)

Memory: -45.0MiB live, 290.4MiB allocated
Compiler: Compiled 32 065 to 2 361 computations (92.6% saved)

prune48.0ms (0.4%)

Memory

28.3MiB live, 173.1MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	532	8	540
Fresh	3	21	24
Picked	3	2	5
Done	0	2	2
Total	538	33	571

Accuracy

100.0%

Counts

571 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (* 2 i) (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	80.1%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (* 2 i) (+ alpha beta)) 2) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	78.9%	(fma.f64 #s(approx (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) #s(literal 1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	58.9%	(fma.f64 #s(approx (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) #s(literal -1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	55.4%	(fma.f64 #s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	4.0%	(fma.f64 #s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64)) (/.f64 #s(approx (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (-.f64 (/.f64 (-.f64 (neg.f64 beta) (fma.f64 #s(literal 2 binary64) i beta)) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	57.2%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
▶	82.3%	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	69.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	63.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	43.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
✓	60.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
▶	3.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
	17.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)))) alpha))
	19.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
	20.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(approx (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (fma.f64 (fma.f64 #s(literal -12 binary64) (/.f64 i alpha) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -8 binary64)))) i (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (.f64 beta beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha))))) alpha))
	10.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) beta) #s(literal -1/2 binary64) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha))
	79.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	11.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
✓	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	16.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
▶	19.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 #s(literal 4 binary64) i)) alpha) #s(literal 1/2 binary64)))
▶	21.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
	56.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	51.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
▶	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
	7.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
✓	32.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	62.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 4 139 to 1 889 computations (54.4% saved)

simplify211.0ms (1.9%)

Memory

2.4MiB live, 200.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64)))
cost-diff	2	(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))
cost-diff	4	(fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)))
cost-diff	0	#s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta))
cost-diff	0	(/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha)
cost-diff	0	(.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
cost-diff	0	#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
cost-diff	1	(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
cost-diff	0	#s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	955
0	108	911
1	253	879
2	773	864
3	3981	852
0	8155	829

Stop Event

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

Calls

Call 1

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

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

localize218.0ms (2%)

Memory

6.7MiB live, 430.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(/.f64 (/.f64 #s(literal 2 binary64) alpha) beta)
accuracy	1.8930584954305152	(fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)))
accuracy	12.969675538153332	(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)
accuracy	50.22962364183065	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64)))
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
accuracy	0.03125	(/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha)
accuracy	10.168098592499675	(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)
accuracy	50.22962364183065	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
accuracy	0.0	#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
accuracy	0.03125	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
accuracy	50.22962364183065	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
accuracy	13.907083411742349	(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
accuracy	14.129145019954457	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
accuracy	47.26878984517937	#s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64))
accuracy	0.11070253907376808	(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy	0.12890625	(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta))
accuracy	11.275327951550977	(+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	12.400537467552464	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))

Samples

65.0ms	71×	1	valid
62.0ms	156×	0	valid
36.0ms	29×	2	valid

Compiler

Compiled 788 to 66 computations (91.6% saved)

Precisions

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

ival-div: 31.0ms (24.2% of total)

ival-mult: 31.0ms (24.2% of total)

ival-add: 28.0ms (21.9% of total)

adjust: 21.0ms (16.4% of total)

ival-pow: 7.0ms (5.5% of total)

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

ival-pow2: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series383.0ms (3.5%)

Memory

13.0MiB live, 488.9MiB allocated

Counts

25 → 339

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha)
#s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta))
(fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64)))
(.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 i alpha) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta))
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Outputs
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(/ (- (+ (* -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))
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(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* 1/32 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3)))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (+ (* 1/32 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3))) (* 1/2 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) (pow i 4))))))
(* -1/4 (/ (pow alpha 2) (pow i 2)))
(/ (+ (* -1/4 (pow alpha 2)) (* 1/16 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i))) (pow i 2))
(/ (+ (* -1/4 (pow alpha 2)) (+ (* -1/64 (/ (* (pow alpha 2) (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i)) (* 1/16 (/ (* (pow alpha 3) (+ 2 alpha)) (pow i 2)))))) (pow i 2))
(/ (+ (* -1/4 (/ (* (+ (* -1/64 (* (pow alpha 2) (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3))) (+ (* -1/4 (pow alpha 2)) (+ (* -1/64 (/ (* (pow alpha 2) (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2)) (pow i 2))) (+ (* -1/64 (/ (* (pow alpha 3) (* (+ 2 alpha) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (pow i 3))) (+ (* 1/16 (/ (* (pow alpha 2) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i)) (* 1/16 (/ (* (pow alpha 3) (+ 2 alpha)) (pow i 2)))))))) (pow i 2))
(* 2 i)
(* i (+ 2 (+ (/ 1 i) (/ beta i))))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* i (+ (* 2 (/ 1 alpha)) (+ (/ 1 (* alpha i)) (/ beta (* alpha i)))))
(* 4 (/ i alpha))
(* i (+ (* 2 (/ beta (* alpha i))) (+ (* 4 (/ 1 alpha)) (/ 2 (* alpha i)))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 4 (/ i (* alpha beta)))
(* i (+ (* 4 (/ 1 (* alpha beta))) (+ (/ 2 (* alpha i)) (/ 2 (* alpha (* beta i))))))
(+ 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 (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 4))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 4))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3)))))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (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)
(* i (+ 4 (/ (* beta (+ 2 (* 2 (/ 1 beta)))) i)))
(* 4 (/ i beta))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 alpha)) (/ (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))) i)))
(+ 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 (/ (+ (* -1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (+ (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))) (* 1/16 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* 1/4096 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/64 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/262144 (/ (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3))) i)) (* 1/4096 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))) i))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))))) (pow i 7))) (* 1/64 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(/ (+ (* 1/4096 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) i)) (* 1/64 (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)))) (pow i 6))
(/ (+ (* -1 (/ (- (+ (* -1/262144 (/ (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3))) i)) (* 1/4096 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))) i))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))))) i)) (* 1/64 (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)))) (pow i 6))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/64 (/ (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3)))))) i)) (+ (* -1/262144 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3)))) i)) (* 1/4096 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (pow (+ 2 (+ alpha beta)) 3)) (+ (* -8 (pow (+ alpha beta) 3)) (+ (* (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))) (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2))) (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))))))) (pow (- beta alpha) 3))) i)))) (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3)))))) i)) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))))) i)) (* 1/64 (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)))) (pow i 6))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* -1/32 (/ (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))) (pow i 3)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) i)) (* 1/32 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) (pow i 3))) (* -1/8 (/ (pow alpha 2) (pow i 2)))))
(/ (+ (* -1/4 (pow alpha 2)) (* -1/16 (/ (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))) i))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) i)) (* 1/16 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 (pow alpha 2))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 alpha) (* -2 (+ 2 alpha))) (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))))) (* -1/64 (* (pow alpha 3) (* (+ 2 alpha) (+ (* -2 alpha) (* -2 (+ 2 alpha))))))) i)) (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha))))) i)) (* 1/16 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 (pow alpha 2))) (pow i 2))
(* -1 (* i (- (* -1 (/ (+ 1 beta) i)) 2)))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ (/ 1 alpha) (/ beta alpha)) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) i)) (* 4 (/ 1 (* alpha beta))))))
(- (+ 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 (/ (+ (* -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))))) (pow i 3)))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (* i (- (* -1 (/ (* beta (+ 2 (* 2 (/ 1 beta)))) i)) 4)))
(* -1 (* i (- (* -1 (/ (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))) i)) (* 4 (/ 1 alpha)))))

Calls

9 calls:

Time	Variable		Point	Expression
92.0ms	alpha	@	0	((/ (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (* (+ (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 2)) 2)) (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (+ (/ (/ 2 alpha) beta) (/ 2 alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (* (+ (/ (+ (* 4 i) 2) beta) 2) beta) (/ (+ (* 4 i) 2) beta) (* (+ (* (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) beta) (/ (/ 2 alpha) beta))
74.0ms	beta	@	0	((/ (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (* (+ (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 2)) 2)) (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (+ (/ (/ 2 alpha) beta) (/ 2 alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (* (+ (/ (+ (* 4 i) 2) beta) 2) beta) (/ (+ (* 4 i) 2) beta) (* (+ (* (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) beta) (/ (/ 2 alpha) beta))
35.0ms	i	@	inf	((/ (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (* (+ (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 2)) 2)) (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (+ (/ (/ 2 alpha) beta) (/ 2 alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (* (+ (/ (+ (* 4 i) 2) beta) 2) beta) (/ (+ (* 4 i) 2) beta) (* (+ (* (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) beta) (/ (/ 2 alpha) beta))
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simplify365.0ms (3.3%)

Memory

-18.0MiB live, 545.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3047	72618
0	8070	69798

Stop Event

1×	iter limit
1×	node limit

Counts

339 → 338

Calls

Call 1

Inputs
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(* 4 i)
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(* i (+ 4 (/ (* beta (+ 2 (* 2 (/ 1 beta)))) i)))
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(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
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Outputs
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(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) alpha))
(/ (- (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) alpha)) (* -1/2 (+ 2 (* 4 i)))) alpha)
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(/ (- (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow alpha 2))) (+ (* -1/2 (+ 2 (* 4 i))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) alpha)))) alpha)
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(/ (- (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))))))))) (pow alpha 3))) (+ (* -1/2 (+ 2 (* 4 i))) (+ (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow alpha 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) alpha))))) alpha)
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(- (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) 1)
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(- (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow alpha 2))) (+ 1 (* -1 (/ (+ 2 (* 4 i)) alpha))))
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(- (* -1 (/ (+ (* -1 (* (+ 2 (* 4 i)) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))) (* 2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i)))))) (pow alpha 3))) (+ 1 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (* 4 i)) alpha)) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2))))))
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2
#s(literal 2 binary64)
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(- (+ 2 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
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(- (+ 2 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 3)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)) (/ (* (+ 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))))))) (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
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(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(.f64 alpha (-.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) 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))))))
(.f64 alpha (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) alpha))) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (*.f64 alpha alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(.f64 alpha (-.f64 (+.f64 (neg.f64 (/.f64 beta alpha)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 beta beta) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) alpha))) (/.f64 (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))))) (.f64 alpha alpha)))))
(* -1/6 (/ (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (* 1/3 (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))))) (* 1/9 (* (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (- (+ (* -2 beta) (+ (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) (* 2 beta))) (+ beta (+ (* -2 (+ 2 (+ beta (* 2 i)))) (+ (* -2 (+ beta (* 2 i))) (* -1 beta)))))))) alpha)) (* 1/6 (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))))))) alpha)) (* 2 beta)))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (/ (- (+ (* -1 (pow beta 3)) (+ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (+ (* (+ beta (* 2 beta)) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))) (+ (* -1 (+ (* -1 (pow (+ 2 (+ beta (* 2 i))) 3)) (+ (* -1 (pow (+ beta (* 2 i)) 3)) (+ (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))))))) (+ (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))))) (* (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))))) alpha)) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2))))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))))))) alpha)) (* 2 beta)))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) alpha))
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(.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))))))) alpha) (fma.f64 #s(literal -1 binary64) (.f64 beta beta) (pow.f64 (.f64 #s(literal 3 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) beta) (.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))))))) alpha) (.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 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(- (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)
(-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))))) alpha) (.f64 beta beta)) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) alpha))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal 1 binary64))
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) alpha) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))))) alpha))) alpha) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))))))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))))))))))) alpha))) alpha) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i))))))))))) alpha) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) alpha))
(* -1/2 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) alpha))
(.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) alpha))
(* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))) alpha)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))) alpha) (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) alpha)) (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))) alpha)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))) (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))))) alpha) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))) alpha) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))))))) alpha)) (* -1/2 (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))))) alpha)) (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))))) alpha)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))) (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))) (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))))))) alpha) (fma.f64 #s(literal -2 binary64) (.f64 i (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))) (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))))))) alpha) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 i (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))) alpha) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) i (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))) alpha))
(- (* -1 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) alpha)) 1)
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(- (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2) alpha)) (* -1 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) alpha)) 1)
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beta
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(* 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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(* -1 (* beta (- (* -4 (/ i (* alpha beta))) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (fma.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha))) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))))) i) (-.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)))) i)) (fma.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha))) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))))) i) (.f64 #s(literal -1/16 binary64) (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))))) i) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) (.f64 i i))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha))) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))) i))) (pow.f64 i #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* -1/32 (/ (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))) (pow i 3)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 alpha alpha) (.f64 i i)) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 alpha alpha) (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 i #s(literal 3 binary64))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) i)) (* 1/32 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) (pow i 3))) (* -1/8 (/ (pow alpha 2) (pow i 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 alpha alpha) (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) alpha)))) i) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 alpha alpha) (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))) (pow.f64 i #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 alpha alpha) (.f64 i i)))))
(/ (+ (* -1/4 (pow alpha 2)) (* -1/16 (/ (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))) i))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 alpha alpha) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 alpha alpha) (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) i))) (.f64 i i))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))) i)) (* 1/16 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 (pow alpha 2))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 alpha alpha) (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) alpha)))) i) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 alpha alpha) (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))) i) (.f64 #s(literal -1/4 binary64) (.f64 alpha alpha))) (.f64 i i))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 alpha) (* -2 (+ 2 alpha))) (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha)))))) (* -1/64 (* (pow alpha 3) (* (+ 2 alpha) (+ (* -2 alpha) (* -2 (+ 2 alpha))))))) i)) (+ (* -1/64 (* (pow alpha 2) (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 3) (+ 2 alpha))))) i)) (* 1/16 (* (pow alpha 2) (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 (pow alpha 2))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 alpha alpha) (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) alpha))))) (.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 alpha #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))))) i) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 alpha alpha) (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) alpha))))) i) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 alpha alpha) (.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))) i) (.f64 #s(literal -1/4 binary64) (.f64 alpha alpha))) (*.f64 i i))
(* -1 (* i (- (* -1 (/ (+ 1 beta) i)) 2)))
(neg.f64 (*.f64 i (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) i)) #s(literal 2 binary64))))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(neg.f64 (.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))) i) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) alpha)))))
(* -1 (* i (- (* -1 (/ (+ (/ 1 alpha) (/ beta alpha)) i)) (* 2 (/ 1 alpha)))))
(neg.f64 (.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) i) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) alpha)))))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(neg.f64 (.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))) i) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) alpha)))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(neg.f64 (.f64 i (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) beta)) i)) #s(literal 4 binary64))))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) i)) (* 4 (/ 1 (* alpha beta))))))
(neg.f64 (.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (.f64 alpha beta)))) i) (.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))))))
(- (+ 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 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 i #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i))))
(- (+ 1 (* -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))))) 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 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha))) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))) i) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))))) (pow.f64 i #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i))))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 beta alpha)) i) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) (.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 alpha beta) (-.f64 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (-.f64 beta alpha)) i) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 beta alpha)))) i) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) (.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) i))
(* -1 (* i (- (* -1 (/ (* beta (+ 2 (* 2 (/ 1 beta)))) i)) 4)))
(neg.f64 (.f64 i (-.f64 (neg.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta)))) i)) #s(literal 4 binary64))))
(* -1 (* i (- (* -1 (/ (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))) i)) (* 4 (/ 1 alpha)))))
(neg.f64 (.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (.f64 alpha beta))))) i) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) alpha)))))

rewrite245.0ms (2.2%)

Memory

12.7MiB live, 327.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	709
0	108	669
1	545	587
2	4885	587
0	8153	560

Stop Event

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

Counts

25 → 427

Calls

Call 1

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

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

eval361.0ms (3.3%)

Memory: 8.8MiB live, 449.2MiB allocated
Compiler: Compiled 164 670 to 6 978 computations (95.8% saved)

prune107.0ms (1%)

Memory

16.3MiB live, 157.3MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1 034	13	1 047
Fresh	5	19	24
Picked	3	2	5
Done	1	3	4
Total	1 043	37	1 080

Accuracy

100.0%

Counts

1 080 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (* 2 i) (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	80.1%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (* 2 i) (+ alpha beta)) 2) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	78.9%	(fma.f64 #s(approx (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) #s(literal 1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	58.9%	(fma.f64 #s(approx (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) #s(literal -1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	55.4%	(fma.f64 #s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	4.0%	(fma.f64 #s(approx (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) #s(literal 1 binary64)) (/.f64 #s(approx (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (-.f64 (/.f64 (-.f64 (neg.f64 beta) (fma.f64 #s(literal 2 binary64) i beta)) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	57.2%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
✓	82.3%	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	29.1%	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (.f64 beta (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta))) (neg.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)))) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 (.f64 (-.f64 alpha (.f64 #s(literal -2 binary64) i)) (fma.f64 #s(literal -1 binary64) alpha (.f64 #s(literal -2 binary64) i))) (.f64 beta beta)))))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	62.2%	(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	38.7%	#s(approx (/ (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (* (+ (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 2)) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)))))
	21.4%	#s(approx (/ (+ (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 3) 1) (* (+ (- 1 (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2))) (pow (/ (* (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ alpha beta)) (+ (+ (* 2 i) (+ alpha beta)) 2)) 2)) 2)) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) beta) (.f64 #s(literal 2 binary64) beta))) (neg.f64 (+.f64 #s(literal 6 binary64) (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) beta (.f64 i #s(literal 12 binary64))))))) alpha)))
	22.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	69.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	63.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	43.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
✓	60.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
✓	3.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
	17.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)))) alpha))
	19.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
	20.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(approx (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (fma.f64 (fma.f64 #s(literal -12 binary64) (/.f64 i alpha) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -8 binary64)))) i (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (.f64 beta beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha))))) alpha))
	10.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 1/2 (+ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha))) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) beta) #s(literal -1/2 binary64) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha))
	79.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	9.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (.f64 (+.f64 #s(approx (/ (+ ( 4 i) 2) beta) (*.f64 #s(literal 4 binary64) (/.f64 i beta))) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) #s(approx (* (+ (/ (+ (* 4 i) 2) beta) 2) beta) (fma.f64 #s(literal 4 binary64) i (.f64 beta (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta))))))) alpha) #s(literal 1/2 binary64)))
	7.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (.f64 #s(approx (+ ( (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 1/2 binary64)))
	8.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (.f64 #s(approx (+ ( (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (.f64 #s(literal 4 binary64) (/.f64 i (.f64 alpha beta)))) beta)) #s(literal 1/2 binary64)))
	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
	56.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	44.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 alpha alpha) (*.f64 i i))))))
	11.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha (.f64 alpha beta)) (.f64 alpha alpha))))
	21.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)))
	16.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) alpha)))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.f64 #s(literal 2 binary64) i)) alpha)))
	7.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
✓	32.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	62.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 6 513 to 1 676 computations (74.3% saved)

regimes259.0ms (2.4%)

Memory

-20.9MiB live, 73.1MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

148.0ms	(*.f64 #s(literal 2 binary64) i)
40.0ms	beta
16.0ms	i
15.0ms	alpha
13.0ms	(/.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
82.3%	1	`(*.f64 #s(literal 2 binary64) i)`
98.3%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
98.3%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.3%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
90.2%	2	`alpha`
82.3%	1	`beta`
82.3%	1	`i`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes44.0ms (0.4%)

Memory

-7.8MiB live, 38.7MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

20.0ms

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

10.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
98.1%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.1%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes31.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

10.0ms

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

9.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
98.1%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.1%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes75.0ms (0.7%)

Memory

-13.7MiB live, 31.4MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

55.0ms

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

9.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
97.0%	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)))`
97.0%	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))`
97.0%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes39.0ms (0.4%)

Memory

-7.6MiB live, 45.8MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

8.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
96.2%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
96.2%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.2%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 81 to 41 computations (49.4% saved)

regimes27.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

8.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
96.2%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
96.2%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.2%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 81 to 41 computations (49.4% saved)

regimes39.0ms (0.4%)

Memory

-15.8MiB live, 31.2MiB 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) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) 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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (.f64 #s(approx (+ ( (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 #s(literal 4 binary64) i)) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (* (neg alpha) alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))) 1/2) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 alpha alpha) (*.f64 i i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (/ (+ ( 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (.f64 #s(approx (+ ( (/ 4 beta) (/ i alpha)) (+ (/ (/ 2 alpha) beta) (/ 2 alpha))) (.f64 #s(literal 4 binary64) (/.f64 i (.f64 alpha beta)))) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) #s(literal -1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Outputs

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

Calls

3 calls:

28.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
94.4%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
94.4%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.4%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 81 to 41 computations (49.4% saved)

regimes13.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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(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 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #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
93.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
93.6%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.6%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes42.0ms (0.4%)

Memory

-27.5MiB live, 19.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 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

4 calls:

3.0ms	alpha
2.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
2.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.3%	2	`alpha`
88.0%	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)))`
88.0%	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))`
88.0%	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))`

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes11.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

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

Outputs

#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.7%	2	`beta`
62.1%	1	`(*.f64 #s(literal 2 binary64) i)`
62.1%	1	`i`
78.2%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
78.2%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
78.2%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 86 to 52 computations (39.5% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

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

Outputs

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

1.0ms

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

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
76.5%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
76.5%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.5%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes31.0ms (0.3%)

Memory

-17.8MiB live, 23.9MiB 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

7 calls:

24.0ms	beta
1.0ms	alpha
1.0ms	(*.f64 #s(literal 2 binary64) i)
1.0ms	i
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
62.1%	1	`(*.f64 #s(literal 2 binary64) i)`
62.1%	1	`i`
62.1%	1	`alpha`
62.1%	1	`beta`
62.1%	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)))`
62.1%	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))`
62.1%	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))`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8860077011527707e-7	0.0033088441756344844

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.551115123125783e-17	9.80919651061285e-8

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.551115123125783e-17	9.80919651061285e-8

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000006642119	0.5000000035951946
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6130158529895318	0.9999999999999993
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6130158529895318	0.9999999999999993
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6130158529895318	0.9999999999999993
0.0ms	0.0033088441756344844	0.49999909982707613

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch4.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.6130158529895318	0.9999999999999993

Samples

1.0ms

64×

valid

Compiler

Compiled 280 to 165 computations (41.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify88.0ms (0.8%)

Memory

-13.0MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	1606
1	308	1590
2	918	1590
3	4822	1590

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(approx (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (fma.f64 (fma.f64 #s(literal -12 binary64) (/.f64 i alpha) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -8 binary64)))) i (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (.f64 beta beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha))))) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64))) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64))) (fma.f64 #s(approx (/ (- beta alpha) ( (+ (* 2 i) (+ alpha beta)) 2)) #s(literal 1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (fma.f64 #s(approx (/ (- beta alpha) (* (+ (* 2 i) (+ alpha beta)) 2)) #s(literal 1/2 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4503599645384895/9007199254740992 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 (+ (* (/ (+ beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(approx (/ (- (+ (* beta beta) (* (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (* (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (+ (* 4 i) (* 2 beta)) 2))) alpha) (fma.f64 (fma.f64 #s(literal -12 binary64) (/.f64 i alpha) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -8 binary64)))) i (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (.f64 beta beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha))))) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

soundness1.2s (11%)

Memory

-26.1MiB live, 904.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3047	72618
0	8070	69798
0	54	564
0	93	529
1	524	468
2	5179	468
0	9364	454
0	1709	13906
1	6210	13665
0	8671	12346
0	1089	9563
1	3905	9351
0	8256	8414
0	74	709
0	108	669
1	545	587
2	4885	587
0	8153	560
0	15	106
0	25	106
1	119	106
2	1045	106
0	8123	96
0	933	12602
1	3357	12202
0	8834	10996

Stop Event

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

Compiler

Compiled 2 281 to 554 computations (75.7% saved)

preprocess97.0ms (0.9%)

Memory: 10.1MiB live, 153.6MiB allocated
Compiler: Compiled 3 310 to 350 computations (89.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze126.0ms (1.1%)

sample2.9s (26.1%)

explain242.0ms (2.2%)

preprocess183.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify193.0ms (1.8%)

localize61.0ms (0.6%)

series85.0ms (0.8%)

simplify260.0ms (2.4%)

rewrite234.0ms (2.1%)

eval157.0ms (1.4%)

prune29.0ms (0.3%)

simplify177.0ms (1.6%)

localize327.0ms (3%)

series119.0ms (1.1%)

simplify284.0ms (2.6%)

rewrite247.0ms (2.3%)

eval237.0ms (2.2%)

prune62.0ms (0.6%)

simplify137.0ms (1.3%)

localize263.0ms (2.4%)

series47.0ms (0.4%)

simplify284.0ms (2.6%)

rewrite234.0ms (2.1%)

eval157.0ms (1.4%)

prune48.0ms (0.4%)

simplify211.0ms (1.9%)

localize218.0ms (2%)

series383.0ms (3.5%)

simplify365.0ms (3.3%)

rewrite245.0ms (2.2%)

eval361.0ms (3.3%)

prune107.0ms (1%)

regimes259.0ms (2.4%)

regimes44.0ms (0.4%)

regimes31.0ms (0.3%)

regimes75.0ms (0.7%)

regimes39.0ms (0.4%)

regimes27.0ms (0.2%)

regimes39.0ms (0.4%)

regimes13.0ms (0.1%)

regimes42.0ms (0.4%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes31.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

simplify88.0ms (0.8%)

soundness1.2s (11%)

preprocess97.0ms (0.9%)

end0.0ms (0%)

Profiling