Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze73.0ms (0.7%)

Memory

18.7MiB live, 117.5MiB allocated; 36ms collecting garbage

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)

sample2.0s (20.6%)

Memory

44.0MiB live, 2 835.1MiB allocated; 554ms collecting garbage

Samples

833.0ms	6 506×	0	valid
336.0ms	1 267×	1	valid
207.0ms	483×	2	valid

Precisions

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

ival-add: 261.0ms (25.2% of total)

ival-div: 199.0ms (19.2% of total)

adjust: 192.0ms (18.5% of total)

ival->: 148.0ms (14.3% of total)

ival-mult: 142.0ms (13.7% of total)

ival-sub: 56.0ms (5.4% of total)

exact: 18.0ms (1.7% of total)

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

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain228.0ms (2.3%)

Memory

-28.7MiB live, 357.3MiB allocated; 35ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	81	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	81
`+.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	46	2

Confusion

	Predicted +	Predicted -
+	95	0
-	0	161

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	95	0	0
-	0	1	160

Precision?

0.9895833333333334

Recall?

1.0

Freqs

test

number	freq
0	161
1	63
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	416×	0	valid
15.0ms	68×	1	valid
9.0ms	26×	2	valid
1.0ms	2×	4	valid

Compiler

Compiled 299 to 49 computations (83.6% saved)

Precisions

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

ival-div: 11.0ms (27.9% of total)

ival-add: 11.0ms (27.9% of total)

adjust: 7.0ms (17.8% of total)

ival-mult: 7.0ms (17.8% of total)

ival-sub: 3.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess182.0ms (1.8%)

Memory

16.2MiB live, 203.3MiB allocated; 30ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(/.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

▶

63.8%

(/.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)

simplify139.0ms (1.4%)

Memory

15.3MiB live, 207.7MiB allocated; 28ms collecting garbage

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)

localize71.0ms (0.7%)

Memory

-5.1MiB live, 41.2MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0.06640625	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	10.780248119805679	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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	21.081439656129728	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

48.0ms	208×	0	valid
7.0ms	34×	1	valid
4.0ms	13×	2	valid
0.0ms	1×	4	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 36.0ms (72.4% of total)

ival-div: 5.0ms (10.1% of total)

adjust: 4.0ms (8% of total)

ival-mult: 3.0ms (6% of total)

ival-sub: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory

14.0MiB live, 58.4MiB allocated; 5ms collecting garbage

Counts

6 → 155

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 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))) (* (+ alpha beta) (- beta alpha)))
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))) (* (+ alpha beta) (- beta alpha)))
6.0ms	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))) (* (+ alpha beta) (- beta alpha)))
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))) (* (+ alpha beta) (- beta alpha)))
5.0ms	beta	@	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))) (* (+ alpha beta) (- beta alpha)))

simplify256.0ms (2.6%)

Memory

-5.3MiB live, 222.7MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	12767
1	3486	12364
0	9319	11149

Stop Event

1×	iter limit
1×	node limit

Counts

155 → 153

Calls

Call 1

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

rewrite304.0ms (3.1%)

Memory

16.0MiB live, 303.3MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
0	25	110
1	119	110
2	1045	110
0	8123	100

Stop Event

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

Counts

6 → 290

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

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

eval185.0ms (1.9%)

Memory: -5.9MiB live, 143.8MiB allocated; 29ms collecting garbage
Compiler: Compiled 37 085 to 3 256 computations (91.2% saved)

prune34.0ms (0.3%)

Memory

11.0MiB live, 54.8MiB allocated; 5ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	525	18	543
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	526	18	544

Accuracy

99.9%

Counts

544 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(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))
	83.1%	(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))
	63.1%	(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.7%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (/.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	81.2%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 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))
▶	83.2%	(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	3.7%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 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)))) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.4%	(/.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))
	59.4%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64))) #s(literal 2 binary64))
	24.2%	#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)))
	59.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.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)))
	46.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
	81.4%	#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)))
▶	20.4%	#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 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	67.9%	#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)))
	34.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	61.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 378 to 760 computations (44.8% saved)

simplify144.0ms (1.4%)

Memory

-8.5MiB live, 139.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	671
0	91	603
1	201	590
2	559	566
3	2539	560
0	8498	543

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (1.9%)

Memory

-26.9MiB live, 165.2MiB allocated; 13ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.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 alpha))
accuracy	0.015625	(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))
accuracy	10.780248119805679	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 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)))) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	51.18758593018187	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 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)))) (neg.f64 alpha)) #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
accuracy	0.06640625	(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	10.780248119805679	(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	28.704222487201914	#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
accuracy	0.0	(.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) beta)
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64) #s(literal 2 binary64))) alpha)
accuracy	50.92959169978475	#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 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy	24.36335963970053	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0.0546875	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.06640625	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	2.113035891729956	(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
accuracy	10.780248119805679	(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Samples

53.0ms	208×	0	valid
43.0ms	34×	1	valid
13.0ms	13×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 604 to 46 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 35.0ms (41.9% of total)

ival-add: 17.0ms (20.4% of total)

ival-div: 14.0ms (16.8% of total)

adjust: 11.0ms (13.2% of total)

ival-sub: 4.0ms (4.8% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series74.0ms (0.7%)

Memory

18.3MiB live, 63.7MiB allocated; 7ms collecting garbage

Counts

25 → 250

Calls

Call 1

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

Outputs
(+ 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))))))
(* 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)))))))))))))
(/ (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)))))
beta
(+ alpha beta)
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(+ beta (* 2 i))
(+ alpha (+ beta (* 2 i)))
(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* -1 (/ (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(/ 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)
(/ (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))))
(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
(* 1/2 (/ (- (+ 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 (/ 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))))))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)))) alpha)
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(/ (+ 2 (* 4 i)) alpha)
(+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))
(* 2 beta)
(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
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2
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1
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(* beta (+ 1 (/ alpha beta)))
(/ beta alpha)
(* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* -2 beta)
(* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2))
(/ 1 beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
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(* 2 (/ beta alpha))
(* beta (+ (* 4 (/ i (* alpha beta))) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
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(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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(* -1 (* beta (- (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
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(- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
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(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
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(/ (- beta alpha) (+ 2 (+ alpha beta)))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
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(* -1 (+ 2 (* 2 beta)))
(- (* -4 i) (+ 2 (* 2 beta)))
(/ (- beta alpha) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
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(/ (- 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)))
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(/ (+ 2 (* 2 beta)) alpha)
(- beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* -4 i)
(* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
(* 1/2 (/ (- 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)))))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* 1/32 (/ (* (+ 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)))))
(/ (+ (* 1/16 (/ (* (+ 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 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i))))))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(* -1 (/ (+ (* -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)))))
(* -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
18.0ms	i	@	0	((+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)) (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (neg alpha)))
10.0ms	alpha	@	0	((+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)) (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (neg alpha)))
8.0ms	beta	@	-inf	((+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)) (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (neg alpha)))
6.0ms	beta	@	0	((+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)) (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (neg alpha)))
5.0ms	alpha	@	-inf	((+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)) (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (neg alpha)))

simplify259.0ms (2.6%)

Memory

-12.5MiB live, 129.9MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1473	17111
1	5276	16875
0	8075	15270

Stop Event

1×	iter limit
1×	node limit

Counts

250 → 248

Calls

Call 1

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

rewrite214.0ms (2.2%)

Memory

37.2MiB live, 167.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	519
0	89	472
1	446	456
2	3843	456
0	8094	447

Stop Event

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

Counts

25 → 503

Calls

Call 1

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

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

eval233.0ms (2.3%)

Memory: -30.6MiB live, 214.4MiB allocated; 40ms collecting garbage
Compiler: Compiled 45 401 to 4 456 computations (90.2% saved)

prune47.0ms (0.5%)

Memory

32.2MiB live, 79.7MiB allocated; 2ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	681	13	694
Fresh	5	8	13
Picked	4	1	5
Done	0	0	0
Total	690	22	712

Accuracy

99.9%

Counts

712 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.1%	(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))
	63.1%	(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.6%	(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	64.6%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
	81.2%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.7%	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (/.f64 #s(approx (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (/.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	81.2%	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.9%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (/.f64 #s(approx (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (*.f64 #s(literal -4 binary64) i)) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	81.2%	(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.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))
▶	24.2%	#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)))
	59.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.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)))
	46.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
	81.4%	#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)))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	15.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
▶	67.9%	#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)))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 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)))
	7.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/.f64 beta alpha)))
	9.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
▶	34.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	61.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
	59.4%	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 983 to 1 027 computations (48.2% saved)

simplify183.0ms (1.8%)

Memory

-31.4MiB live, 157.9MiB allocated; 17ms collecting garbage

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 (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta))))
cost-diff	0	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1	(+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	1	(-.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)))
cost-diff	2	(*.f64 #s(literal 0 binary64) alpha)
cost-diff	2	(-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	1	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 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	513
0	85	485
1	181	482
2	412	482
3	1541	482
4	5606	482
0	8250	474

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

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

localize196.0ms (2%)

Memory

16.8MiB live, 208.5MiB allocated; 14ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta))
accuracy	2.113035891729956	(.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta))))
accuracy	10.780248119805679	(+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
accuracy	23.161829835372345	#s(approx (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)))
accuracy	0.0078125	(-.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)))
accuracy	0.01171875	(/.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)
accuracy	0.2150770841231987	(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))
accuracy	48.52544381342446	#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)))
accuracy	0.00390625	(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
accuracy	0.05078125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
accuracy	13.118419134460057	#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)))
accuracy	14.499612862477585	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
accuracy	42.16114930838423	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))
accuracy	0.03125	(/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.0390625	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy	10.779019610385165	(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

63.0ms	192×	0	valid
58.0ms	39×	1	valid
25.0ms	24×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 451 to 51 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 37.0ms (34.7% of total)

ival-div: 34.0ms (31.9% of total)

adjust: 16.0ms (15% of total)

ival-mult: 14.0ms (13.1% of total)

ival-sub: 4.0ms (3.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series176.0ms (1.8%)

Memory

-23.0MiB live, 178.7MiB allocated; 57ms collecting garbage

Counts

24 → 381

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	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) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (- (* 0 alpha) 2) (* 0 alpha) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (+ (+ beta alpha) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ beta (+ (+ (* 2 i) beta) 2)) (+ (* 2 i) beta)))
14.0ms	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) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (- (* 0 alpha) 2) (* 0 alpha) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (+ (+ beta alpha) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ beta (+ (+ (* 2 i) beta) 2)) (+ (* 2 i) beta)))
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) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (- (* 0 alpha) 2) (* 0 alpha) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (+ (+ beta alpha) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ beta (+ (+ (* 2 i) beta) 2)) (+ (* 2 i) beta)))
8.0ms	beta	@	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) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (- (* 0 alpha) 2) (* 0 alpha) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (+ (+ beta alpha) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ beta (+ (+ (* 2 i) beta) 2)) (+ (* 2 i) beta)))
7.0ms	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) (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (/ (- beta alpha) (+ (+ beta alpha) 2)) (- (* 0 alpha) 2) (* 0 alpha) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (+ (+ beta alpha) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ beta (+ (+ (* 2 i) beta) 2)) (+ (* 2 i) beta)))

simplify230.0ms (2.3%)

Memory

6.5MiB live, 385.8MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2214	22732
1	7984	22732
0	8002	20694

Stop Event

1×	iter limit
1×	node limit

Counts

381 → 379

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))))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))))) (/ beta (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ 2 (+ beta (* 2 i)))) (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))))) (/ beta (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 (+ beta (* 2 i))) 3)) (/ beta (pow (+ 2 (+ beta (* 2 i))) 4))))) (* -1 (/ (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))) (+ 2 (+ beta (* 2 i))))))) (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))))) (/ beta (+ 2 (+ beta (* 2 i)))))
beta
(+ beta (* -1 alpha))
(+ 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 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-2
0
(* -1 (+ 2 (* 4 i)))
(- (* -2 alpha) (+ 2 (* 4 i)))
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(* -1 (+ 2 (* 2 alpha)))
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(+ 1 (* -2 (/ i (+ alpha beta))))
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(+ 1 (* i (- (* i (+ (* -8 (/ i (pow (+ alpha beta) 3))) (* 4 (/ 1 (pow (+ alpha beta) 2))))) (* 2 (/ 1 (+ alpha beta))))))
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(+ 1/2 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))
(+ 1 (+ (* -2 (/ i beta)) (* -1/2 (/ (+ 2 (* 2 alpha)) beta))))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(+ (* -4 (/ i beta)) (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(/ (- beta alpha) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
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(- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
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(/ 1 (+ 2 beta))
(+ (* -1 (* i (+ (* 2 (/ 1 (* beta (+ 2 beta)))) (* 2 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta)))
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(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(* 1/2 (/ (- beta alpha) i))
(/ (+ (* -1/4 (/ (* (+ 2 (+ alpha beta)) (- beta alpha)) i)) (* 1/2 (- beta alpha))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (- beta alpha)) (pow i 2))) (* 1/2 (- beta alpha))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (- beta alpha)) (pow i 3))) (* 1/2 (- beta alpha))) (+ (* -1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (- beta alpha)) i)))) i)
(* 2 i)
(* i (+ 2 (+ (* 2 (/ 1 i)) (+ (/ alpha i) (/ beta i)))))
(* -4 i)
(* i (- (* -1 (/ (+ 2 (* 2 alpha)) i)) 4))
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
(* 1/4 (/ (* (+ 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) i))
(/ (+ (* -1/4 (/ (pow (+ alpha beta) 2) i)) (* 1/2 (+ alpha beta))) i)
(/ (- (+ (* 1/8 (/ (pow (+ alpha beta) 3) (pow i 2))) (* 1/2 (+ alpha beta))) (* 1/4 (/ (pow (+ alpha beta) 2) i))) i)
(/ (- (+ (* -1/16 (/ (pow (+ alpha beta) 4) (pow i 3))) (* 1/2 (+ alpha beta))) (+ (* -1/8 (/ (pow (+ alpha beta) 3) (pow i 2))) (* 1/4 (/ (pow (+ alpha beta) 2) i)))) i)
(* 1/4 (/ (+ alpha beta) i))
(/ (+ (* -1/8 (/ (pow (+ alpha beta) 2) i)) (* 1/4 (+ alpha beta))) i)
(/ (+ (* -1/8 (/ (pow (+ alpha beta) 2) i)) (+ (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 2))) (* 1/4 (+ alpha beta)))) i)
(/ (+ (* -1/8 (/ (pow (+ alpha beta) 2) i)) (+ (* -1/32 (/ (pow (+ alpha beta) 4) (pow i 3))) (+ (* 1/16 (/ (pow (+ alpha beta) 3) (pow i 2))) (* 1/4 (+ alpha beta))))) i)
(* -2 (/ i beta))
(* i (- (+ (* -1/2 (/ (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))) i)) (/ 1 i)) (* 2 (/ 1 beta))))
(* -4 (/ i beta))
(* i (- (* -1 (/ (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))) i)) (* 4 (/ 1 beta))))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
(* 1/4 (/ beta (pow i 2)))
(/ (+ (* -1/16 (/ (* beta (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/4 beta)) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* beta (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 2) (+ 2 beta)))) (pow i 2))) (* 1/4 beta)) (* 1/16 (/ (* beta (+ (* 2 beta) (* 2 (+ 2 beta)))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* beta (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 2) (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* -1/64 (* (pow beta 2) (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))))) (pow i 3))) (* 1/4 beta)) (+ (* -1/64 (/ (* beta (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* beta (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/16 (/ (* (pow beta 2) (+ 2 beta)) (pow i 2)))))) (pow i 2))
(+ 1/2 (+ (* 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 (- beta alpha)) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (- beta alpha)) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (- beta alpha)) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (- beta alpha)))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
(* -1 (* i (- (* -1 (/ (+ 2 (+ alpha beta)) i)) 2)))
(* -1 (* i (+ 4 (+ (* 2 (/ alpha i)) (* 2 (/ 1 i))))))
(+ 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)))))
(/ (+ (* 1/16 (/ (* (+ 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)) (* 1/4 (/ (pow (+ alpha beta) 2) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (pow (+ alpha beta) 3) i)) (* 1/4 (pow (+ alpha beta) 2))) i)) (* -1/2 (+ alpha beta))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ alpha beta) 4) i)) (* 1/8 (pow (+ alpha beta) 3))) i)) (* 1/4 (pow (+ alpha beta) 2))) i)) (* -1/2 (+ alpha beta))) i))
(* -1 (/ (+ (* -1/4 (+ alpha beta)) (* 1/8 (/ (pow (+ alpha beta) 2) i))) i))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (+ alpha beta) 2)) (* 1/16 (/ (pow (+ alpha beta) 3) i))) i)) (* -1/4 (+ alpha beta))) i))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow (+ alpha beta) 3)) (* 1/32 (/ (pow (+ alpha beta) 4) i))) i)) (* -1/8 (pow (+ alpha beta) 2))) i)) (* -1/4 (+ alpha beta))) i))
(* -1 (* i (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) i)) (* 2 (/ 1 beta)))))
(* -1 (* i (+ (* 2 (/ alpha (* beta i))) (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* 1/16 (/ (* beta (+ (* -2 beta) (* -2 (+ 2 beta)))) i)) (* 1/4 beta)) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* beta (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2)) i)) (* 1/16 (/ (* (pow beta 2) (+ 2 beta)) i))) (* 1/16 (* beta (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 beta)) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 beta) (* -2 (+ 2 beta))) (+ (* -1/64 (* beta (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 2) (+ 2 beta))))) i)) (* -1/64 (/ (* (pow beta 2) (* (+ 2 beta) (+ (* -2 beta) (* -2 (+ 2 beta))))) i))) (+ (* -1/64 (* beta (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 2) (+ 2 beta))))) i)) (* 1/16 (* beta (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 beta)) (pow i 2))

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

rewrite178.0ms (1.8%)

Memory

41.7MiB live, 323.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	447
0	85	419
1	435	416
2	3463	416
0	8958	412

Stop Event

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

Counts

24 → 414

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

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

eval218.0ms (2.2%)

Memory: -30.8MiB live, 404.5MiB allocated; 38ms collecting garbage
Compiler: Compiled 61 098 to 5 013 computations (91.8% saved)

prune84.0ms (0.8%)

Memory

11.1MiB live, 135.5MiB allocated; 10ms collecting garbage

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	894	18	912
Fresh	4	12	16
Picked	4	1	5
Done	0	1	1
Total	902	32	934

Accuracy

99.9%

Counts

934 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(approx (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (fma.f64 (/.f64 i alpha) #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
	71.4%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(approx (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) (*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
	81.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(approx (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
▶	83.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 i (+.f64 i (+.f64 (+.f64 alpha beta) #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))
	69.9%	(fma.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 beta alpha)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) i (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	83.0%	(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 alpha beta) (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))
	64.6%	(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	64.6%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
	81.2%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	61.7%	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (/.f64 #s(approx (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (/.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	68.5%	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.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 binary64)) #s(literal 2 binary64))
	3.9%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (/.f64 #s(approx (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (*.f64 #s(literal -4 binary64) i)) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	67.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	64.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.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))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	28.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	25.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -4 binary64) i)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	24.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)))
	81.4%	#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)))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	15.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	66.1%	#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) #s(approx (+ (+ beta alpha) 2) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
	73.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
	52.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)))
	2.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (*.f64 (/.f64 i beta) #s(literal -2 binary64))))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 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)))
▶	7.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/.f64 beta alpha)))
	9.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
✓	34.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	61.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
▶	59.4%	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	41.9%	#s(approx (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (.f64 i i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
	59.1%	#s(approx (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 (.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)))

Compiler

Compiled 2 836 to 1 516 computations (46.5% saved)

simplify210.0ms (2.1%)

Memory

36.3MiB live, 274.5MiB allocated; 90ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	511
0	115	479
1	270	472
2	731	470
3	2848	469
0	8752	455

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (2.8%)

Memory

-27.1MiB live, 401.5MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))
accuracy	13.446496338693908	(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64))
accuracy	14.600582451548389	(/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha))
accuracy	15.674971899815379	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
accuracy	0.00390625	(*.f64 (-.f64 beta alpha) (+.f64 alpha beta))
accuracy	0.0078125	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (.f64 i i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
accuracy	14.39105134069403	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (.f64 i i))
accuracy	34.466847669177525	#s(approx (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (.f64 i i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
accuracy	0.01171875	(/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -2 binary64) alpha)) beta)
accuracy	0.2150770841231987	(fma.f64 (/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	48.04943089219054	#s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -2 binary64) alpha))
accuracy	48.52544381342446	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 beta alpha)
accuracy	44.285428192288116	#s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/.f64 beta alpha))
accuracy	50.92959169978475	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/.f64 beta alpha)))
accuracy	0.0078125	(+.f64 i (+.f64 i (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy	0.03125	(/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.0390625	(/.f64 (-.f64 beta alpha) (+.f64 i (+.f64 i (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
accuracy	10.779019610385165	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 i (+.f64 i (+.f64 (+.f64 alpha beta) #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

123.0ms	197×	0	valid
40.0ms	22×	2	valid
35.0ms	36×	1	valid
2.0ms	1×	3	valid

Compiler

Compiled 435 to 75 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 42.0ms (31% of total)

ival-add: 38.0ms (28% of total)

ival-div: 28.0ms (20.7% of total)

adjust: 21.0ms (15.5% of total)

ival-sub: 4.0ms (3% of total)

exact: 1.0ms (0.7% of total)

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

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

series113.0ms (1.1%)

Memory

-3.6MiB live, 139.8MiB allocated; 10ms collecting garbage

Counts

21 → 294

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	alpha	@	-inf	((+ i (+ i (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (+ (* (/ (* (- beta alpha) (+ alpha beta)) (* i i)) 1/8) 1/2) (/ (* (- beta alpha) (+ alpha beta)) (* i i)) (* (- beta alpha) (+ alpha beta)) (* (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) 1/2) (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (* alpha alpha) (+ (* 2 i) alpha)))
15.0ms	i	@	-inf	((+ i (+ i (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (+ (* (/ (* (- beta alpha) (+ alpha beta)) (* i i)) 1/8) 1/2) (/ (* (- beta alpha) (+ alpha beta)) (* i i)) (* (- beta alpha) (+ alpha beta)) (* (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) 1/2) (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (* alpha alpha) (+ (* 2 i) alpha)))
11.0ms	i	@	inf	((+ i (+ i (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (+ (* (/ (* (- beta alpha) (+ alpha beta)) (* i i)) 1/8) 1/2) (/ (* (- beta alpha) (+ alpha beta)) (* i i)) (* (- beta alpha) (+ alpha beta)) (* (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) 1/2) (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (* alpha alpha) (+ (* 2 i) alpha)))
6.0ms	alpha	@	inf	((+ i (+ i (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (+ (* (/ (* (- beta alpha) (+ alpha beta)) (* i i)) 1/8) 1/2) (/ (* (- beta alpha) (+ alpha beta)) (* i i)) (* (- beta alpha) (+ alpha beta)) (* (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) 1/2) (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (* alpha alpha) (+ (* 2 i) alpha)))
6.0ms	alpha	@	0	((+ i (+ i (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (/ (- beta alpha) (+ i (+ i (+ (+ alpha beta) 2)))) (- beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (+ (* (/ (* (- beta alpha) (+ alpha beta)) (* i i)) 1/8) 1/2) (/ (* (- beta alpha) (+ alpha beta)) (* i i)) (* (- beta alpha) (+ alpha beta)) (* (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) 1/2) (+ (* (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (* alpha alpha) (+ (* 2 i) alpha))) 1) (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (/ -1 (+ (+ (* 2 i) alpha) 2)) (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/ (* alpha alpha) (+ (* 2 i) alpha)))

simplify502.0ms (5%)

Memory

130.7MiB live, 483.2MiB allocated; 242ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1659	12498
1	5932	12322
0	8538	11166

Stop Event

1×	iter limit
1×	node limit

Counts

294 → 292

Calls

Call 1

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

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

rewrite1.0s (10.4%)

Memory

-167.8MiB live, 362.4MiB allocated; 1.5s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	427
0	115	395
1	627	388
2	5049	388
0	9546	378

Stop Event

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

Counts

21 → 306

Calls

Call 1

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

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

eval190.0ms (1.9%)

Memory: -0.6MiB live, 332.8MiB allocated; 130ms collecting garbage
Compiler: Compiled 39 809 to 3 500 computations (91.2% saved)

prune50.0ms (0.5%)

Memory

-5.0MiB live, 187.3MiB allocated; 15ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	607	8	615
Fresh	10	15	25
Picked	3	2	5
Done	0	2	2
Total	620	27	647

Accuracy

99.9%

Counts

647 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(approx (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	71.4%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 i (+.f64 i (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(approx (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	64.6%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
	68.5%	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 beta (*.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 binary64)) #s(literal 2 binary64))
	3.9%	(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (/.f64 #s(approx (- (* 0 beta) (* 1 (+ (+ (+ (* 2 i) beta) 2) (+ (* 2 i) beta)))) (*.f64 #s(literal -4 binary64) i)) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	67.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	64.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (.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))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	28.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	25.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) (*.f64 #s(literal -4 binary64) i)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	24.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)))
	81.4%	#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)))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	15.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	66.1%	#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) #s(approx (+ (+ beta alpha) 2) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
	73.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
	52.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)))
	2.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (- (- (* 0 alpha) 2) (+ (* 4 i) (* 2 alpha))) beta) 1/2) 1) (*.f64 (/.f64 i beta) #s(literal -2 binary64))))
	20.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 1/2 binary64) beta) alpha)))
✓	7.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (/.f64 beta alpha)))
	9.0%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
✓	34.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	61.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
	59.3%	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 (neg.f64 alpha) alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	37.9%	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) #s(approx (/ ( alpha alpha) (+ (* 2 i) alpha)) (fma.f64 #s(literal -2 binary64) i alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	62.5%	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) alpha) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	62.5%	#s(approx (/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (.f64 (fma.f64 alpha (.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	47.4%	#s(approx (+ (* (/ (- beta alpha) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2)) 1/2) (fma.f64 (/.f64 #s(approx (* (- beta alpha) (+ alpha beta)) (.f64 beta beta)) (.f64 i i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 3 856 to 1 068 computations (72.3% saved)

regimes100.0ms (1%)

Memory

37.6MiB live, 275.8MiB allocated; 12ms collecting garbage

Counts

58 → 2

Calls

Call 1

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

7 calls:

15.0ms	i
15.0ms	alpha
15.0ms	beta
14.0ms	(*.f64 #s(literal 2 binary64) i)
13.0ms	(+.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
83.2%	1	`(*.f64 #s(literal 2 binary64) i)`
98.0%	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)))`
98.0%	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))`
98.0%	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))`
92.8%	2	`alpha`
83.2%	1	`beta`
83.2%	1	`i`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes30.0ms (0.3%)

Memory

-19.1MiB live, 74.3MiB allocated; 5ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

#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:

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)))

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

regimes26.0ms (0.3%)

Memory

7.8MiB live, 59.2MiB allocated; 10ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms

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

7.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
96.6%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
96.6%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.6%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes20.0ms (0.2%)

Memory

3.3MiB live, 50.0MiB allocated; 2ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
96.6%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
96.6%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.6%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes15.0ms (0.2%)

Memory

-5.1MiB live, 41.6MiB allocated; 2ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
95.2%	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)))`
95.2%	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))`
95.2%	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 81 to 41 computations (49.4% saved)

regimes16.0ms (0.2%)

Memory

-6.8MiB live, 38.6MiB allocated; 5ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

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))

Results

Accuracy	Segments	Branch
95.2%	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)))`
95.2%	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))`
95.2%	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 81 to 41 computations (49.4% saved)

regimes15.0ms (0.2%)

Memory

-18.4MiB live, 31.6MiB allocated; 6ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
94.5%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
94.5%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.5%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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)

regimes17.0ms (0.2%)

Memory

-4.6MiB live, 42.0MiB allocated; 4ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Calls

4 calls:

4.0ms	alpha
3.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
83.6%	2	`alpha`
94.3%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
94.3%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.3%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes10.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
88.8%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
88.8%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
88.8%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes21.0ms (0.2%)

Memory

10.1MiB live, 56.6MiB allocated; 4ms collecting garbage

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

Outputs

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

Calls

7 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)))
3.0ms	beta
3.0ms	(*.f64 #s(literal 2 binary64) i)
3.0ms	i
3.0ms	alpha

Results

Accuracy	Segments	Branch
77.0%	2	`alpha`
77.6%	2	`(*.f64 #s(literal 2 binary64) i)`
77.6%	2	`i`
73.1%	1	`beta`
82.6%	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)))`
82.6%	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))`
82.6%	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 87 to 55 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory

-28.4MiB live, 18.3MiB allocated; 2ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

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
81.9%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
81.9%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
81.9%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes5.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms

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

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
78.4%	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)))`
78.4%	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))`
78.4%	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)

regimes10.0ms (0.1%)

Memory

-15.8MiB live, 31.0MiB allocated; 5ms collecting garbage

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:

4.0ms	beta
1.0ms	(*.f64 #s(literal 2 binary64) i)
1.0ms	i
1.0ms	alpha
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
61.9%	1	`beta`
61.9%	1	`alpha`
61.9%	1	`(*.f64 #s(literal 2 binary64) i)`
61.9%	1	`i`
61.9%	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)))`
61.9%	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
61.9%	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

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.551115123125783e-17	0.00894927218062519

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00894927218062519	0.49999999994890454

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.551115123125783e-17	0.00894927218062519

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.551115123125783e-17	0.00894927218062519

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000000000001	0.5000000000000033
0.0ms	0.00894927218062519	0.49999999994890454

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000000000001	0.5000000000000033
0.0ms	0.00894927218062519	0.49999999994890454

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000000000001	0.5000000000000033
0.0ms	0.00894927218062519	0.49999999994890454

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000000003233	0.5000000000003507
0.0ms	0.00894927218062519	0.49999999994890454

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000000003233	0.5000000000003507
0.0ms	0.00894927218062519	0.49999999994890454

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000000003233	0.5000000000003507
0.0ms	0.0	5.551115123125783e-17

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6733820795887749	0.7597271876859204
0.0ms	0.0	5.551115123125783e-17

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6733820795887749	0.7597271876859204

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify65.0ms (0.7%)

Memory

-10.4MiB live, 122.5MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	1890
1	199	1878
2	394	1878
3	1500	1878
4	4571	1878

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 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 alpha beta) (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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) #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 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 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 (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 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(approx (/ (/ (+ beta alpha) (+ (* i 2) (+ beta alpha))) 2) #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 2251799813685257/4503599627370496 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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 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))) (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 2251799813685257/4503599627370496 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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 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))) (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 2251799813685257/4503599627370496 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) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (+ beta alpha) 2) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))))
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#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 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))) (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 4503599627373649/9007199254740992 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 (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ ( 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #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 4503599627373649/9007199254740992 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 (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ beta alpha) 2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #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 0 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* (+ (* 4 i) (* 2 beta)) 1) 2)) alpha) 1/2) (.f64 (/.f64 i alpha) #s(literal 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 3152519739159347/4503599627370496 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 3152519739159347/4503599627370496 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)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

derivations1.1s (11.5%)

Memory

21.0MiB live, 1 051.5MiB allocated; 279ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
0	25	110
1	119	110
2	1045	110
0	8123	100
0	54	519
0	89	472
1	446	456
2	3843	456
0	8094	447
0	2214	22732
1	7984	22732
0	8002	20694
0	54	447
0	85	419
1	435	416
2	3463	416
0	8958	412
0	967	12767
1	3486	12364
0	9319	11149
0	1473	17111
1	5276	16875
0	8075	15270

Stop Event

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

Compiler

Compiled 1 914 to 138 computations (92.8% saved)

preprocess69.0ms (0.7%)

Memory: 26.4MiB live, 114.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 886 to 306 computations (92.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze73.0ms (0.7%)

sample2.0s (20.6%)

explain228.0ms (2.3%)

preprocess182.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (1.4%)

localize71.0ms (0.7%)

series53.0ms (0.5%)

simplify256.0ms (2.6%)

rewrite304.0ms (3.1%)

eval185.0ms (1.9%)

prune34.0ms (0.3%)

simplify144.0ms (1.4%)

localize193.0ms (1.9%)

series74.0ms (0.7%)

simplify259.0ms (2.6%)

rewrite214.0ms (2.2%)

eval233.0ms (2.3%)

prune47.0ms (0.5%)

simplify183.0ms (1.8%)

localize196.0ms (2%)

series176.0ms (1.8%)

simplify230.0ms (2.3%)

rewrite178.0ms (1.8%)

eval218.0ms (2.2%)

prune84.0ms (0.8%)

simplify210.0ms (2.1%)

localize275.0ms (2.8%)

series113.0ms (1.1%)

simplify502.0ms (5%)

rewrite1.0s (10.4%)

eval190.0ms (1.9%)

prune50.0ms (0.5%)

regimes100.0ms (1%)

regimes30.0ms (0.3%)

regimes26.0ms (0.3%)

regimes20.0ms (0.2%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes21.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify65.0ms (0.7%)

derivations1.1s (11.5%)

preprocess69.0ms (0.7%)

end0.0ms (0%)

Profiling